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Regular Functions of a Quaternionic Variable

by Graziano Gentili, Caterina Stoppato, Daniele C. Struppa ...

Series series Mathematics and Statistics (R0)
The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed sturdy foundations. The richness of the theory of the holomorphic functions of one complex variable ... Read more

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The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed sturdy foundations. The richness of the theory of the holomorphic functions of one complex variable
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Analysis and Geometry on Graphs and Manifolds

Edited by Matthias Keller, Daniel Lenz, Radoslaw K. Wojciechowski ...

Series Book 461 - London Mathematical Society Lecture Note Series
The interplay of geometry, spectral theory and stochastics has a long and fruitful history, and is the driving force behind many developments in modern mathematics. Bringing together contributions from a 2017 conference at the University of Potsdam, this volume focuses on global effects of local properties. Exploring the similarities and differences between the discrete and the continuous settings ... Read more

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The interplay of geometry, spectral theory and stochastics has a long and fruitful history, and is the driving force behind many developments in modern mathematics. Bringing together contributions from a 2017 conference at the University of Potsdam, this volume focuses on global effects of local properties. Exploring the similarities and differences between the discrete and the continuous settings
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A Spectral Theory Of Noncommuting Operators

by Rongwei Yang ...

Series series Mathematics and Statistics (R0)
The main goal of this book is to describe various aspects of the theory of joint spectra for matrices and linear operators. It is suitable for a graduate-level topic course in spectral theory and/or representation theory. The first three chapters can also be adopted for an advanced course in linear algebra. Centered around the concept of projective spectrum, the book presents a coherent treatment ... Read more

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The main goal of this book is to describe various aspects of the theory of joint spectra for matrices and linear operators. It is suitable for a graduate-level topic course in spectral theory and/or representation theory. The first three chapters can also be adopted for an advanced course in linear algebra. Centered around the concept of projective spectrum, the book presents a coherent treatment
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Banach Space Aspects of Frame Theory with Applications

by Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu ...

Series series Mathematics and Statistics (R0)
This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications. The authors present main developments from recent decades in the theory of frames, dilations, operator-valued measures, sampling, and related applications. By bridging topics from Banach space geometry, applied harmonic ... Read more

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This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications. The authors present main developments from recent decades in the theory of frames, dilations, operator-valued measures, sampling, and related applications. By bridging topics from Banach space geometry, applied harmonic
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Descriptive Topology and Functional Analysis II

In Honour of Manuel López-Pellicer Mathematical Work, Elche, Spain, June 7–8, 2018

Edited by Juan Carlos Ferrando ...

Series series Springer Nature Proceedings excluding Computer Science
This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is ... Read more

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This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is
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Foundations of Symmetric Spaces of Measurable Functions

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by Ben-Zion A. Rubshtein, Genady Ya. Grabarnik, Mustafa A. Muratov, Yulia S. Pashkova ...

Series series Mathematics and Statistics (R0)
Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and researchers will find the application of linear operators, ergodic theory, harmonic analysis and ... Read more

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Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and researchers will find the application of linear operators, ergodic theory, harmonic analysis and
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Completeness Theorems and Characteristic Matrix Functions

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by Marinus A. Kaashoek, Sjoerd M. Verduyn Lunel ...

Series series Mathematics and Statistics (R0)
This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that ... Read more

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This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that
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Geometric Properties for Parabolic and Elliptic PDE's

Edited by Rolando Magnanini, Shigeru Sakaguchi, Angelo Alvino ...

Series series Mathematics and Statistics (R0)
The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an ... Read more

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The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an
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Applications of q-Calculus in Operator Theory

by Vijay Gupta, Ravi P. Agarwal, Ali Aral ...

Series series Mathematics and Statistics (R0)
The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. This ... Read more

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The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. This
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The Mathematics of Medical Imaging

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by Timothy G. Feeman ...

Series series Mathematics and Statistics (R0)
The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on ... Read more

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The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on
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Contemporary Research in Elliptic PDEs and Related Topics

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Series series Mathematics and Statistics (R0)
This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications. The topics covered include nonlocal equations, elliptic equations and systems, fully ... Read more

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This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications. The topics covered include nonlocal equations, elliptic equations and systems, fully
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Integral Operators in Non-Standard Function Spaces

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by Alexander Meskhi, Humberto Rafeiro, Stefan Samko ...

Series series Mathematics and Statistics (R0)
This volume, as a sequel to Volumes I-IV of “Integral Operators in Non-Standard Function Spaces”, is devoted to the authors’ most recent advances in harmonic analysis and their applications.This volume focusses on Rellich inequalities in the variable exponent and multilinear settings, trace inequalities for linear and multilinear fractional integrals, sharp weighted estimates for norms of ... Read more

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This volume, as a sequel to Volumes I-IV of “Integral Operators in Non-Standard Function Spaces”, is devoted to the authors’ most recent advances in harmonic analysis and their applications.This volume focusses on Rellich inequalities in the variable exponent and multilinear settings, trace inequalities for linear and multilinear fractional integrals, sharp weighted estimates for norms of
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Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems

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Series series Mathematics and Statistics (R0)
This monograph presents a study of newly developed guaranteed computational methodologies for eigenvalue problems of self-adjoint differential operators. It focuses on deriving explicit lower and upper bounds for eigenvalues, as well as explicit estimations for eigenfunction approximations. Such explicit error estimations rely on the finite element method (FEM) along with a new theory of explicit ... Read more

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This monograph presents a study of newly developed guaranteed computational methodologies for eigenvalue problems of self-adjoint differential operators. It focuses on deriving explicit lower and upper bounds for eigenvalues, as well as explicit estimations for eigenfunction approximations. Such explicit error estimations rely on the finite element method (FEM) along with a new theory of explicit
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Convergence Estimates in Approximation Theory

by Vijay Gupta, Ravi P. Agarwal ...

Series series Mathematics and Statistics (R0)
The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on the convergence of linear positive operators in real and complex domains. The theoretical aspects of these operators have been an active area of research over the past few decades. In ... Read more

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The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on the convergence of linear positive operators in real and complex domains. The theoretical aspects of these operators have been an active area of research over the past few decades. In
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Esercizi di matematica: trasformate

by Simone Malacrida ...

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:trasformata di Fouriertrasformata di Laplacetrasformata zeta e trasformate discreteSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi. ... Read more

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In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:trasformata di Fouriertrasformata di Laplacetrasformata zeta e trasformate discreteSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi.
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From Particle Systems to Partial Differential Equations

PSPDE IV, Braga, Portugal, December 2015

Edited by Patrícia Gonçalves, Ana Jacinta Soares ...

Series series Springer Nature Proceedings excluding Computer Science
"This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic “basic” terms involved in the formulation of the dynamic Ö4 theory in three space dimensions, as well as selected contributions presented at ... Read more

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"This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic “basic” terms involved in the formulation of the dynamic Ö4 theory in three space dimensions, as well as selected contributions presented at
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Operator Functions And Operator Equations

by Michael Gil' ...

This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have ... Read more

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This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have
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Attraction in Numerical Minimization

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by Adam B. Levy ...

Series series Mathematics and Statistics (R0)
Numerical minimization of an objective function is analyzed in this book to understand solution algorithms for optimization problems. Multiset-mappings are introduced to engineer numerical minimization as a repeated application of an iteration mapping. Ideas from numerical variational analysis are extended to define and explore notions of continuity and differentiability of multiset-mappings, and ... Read more

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Numerical minimization of an objective function is analyzed in this book to understand solution algorithms for optimization problems. Multiset-mappings are introduced to engineer numerical minimization as a repeated application of an iteration mapping. Ideas from numerical variational analysis are extended to define and explore notions of continuity and differentiability of multiset-mappings, and
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Functional Analysis

An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras

by Joseph Muscat ...

Series series Mathematics and Statistics (R0)
This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates.Starting from the very basics of metric spaces, the book adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, including the spectral theorem, the Gelfand transform, and Banach algebras. Various applications, ... Read more

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This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates.Starting from the very basics of metric spaces, the book adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, including the spectral theorem, the Gelfand transform, and Banach algebras. Various applications,
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Quaternionic de Branges Spaces and Characteristic Operator Function

by Daniel Alpay, Fabrizio Colombo, Irene Sabadini ...

Series series Mathematics and Statistics (R0)
This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) ... Read more

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This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense)
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Advanced Abacus

Theory and Practice

by Takashi Kojima ...

This handy guide will take abacus users from beginner to master level in a very short time.Though the Japanese abacus may appear mysterious or even primitive, this intriguing tool is capable of amazing speed and accuracy. it is still widely used throughout the shop and markets of Asia and its popularity shows no sign of decline.This volume is designed for the student desiring a greater ... Read more

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This handy guide will take abacus users from beginner to master level in a very short time.Though the Japanese abacus may appear mysterious or even primitive, this intriguing tool is capable of amazing speed and accuracy. it is still widely used throughout the shop and markets of Asia and its popularity shows no sign of decline.This volume is designed for the student desiring a greater
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Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Edited by Józef Banaś, Calogero Vetro, Mohammad Mursaleen, Bessem Samet, Mohamed Jleli ...

Series series Mathematics and Statistics (R0)
This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially ... Read more

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This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially
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The Kadison-Singer Property

by Marco Stevens ...

Series Book 14 - SpringerBriefs in Mathematical Physics
This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space H and an abelian unital C*-subalgebra A of B(H), does every pure state on A extend uniquely to a pure state on B(H)? This question has deep connections to fundamental aspects of ... Read more

47,69 €

This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space H and an abelian unital C*-subalgebra A of B(H), does every pure state on A extend uniquely to a pure state on B(H)? This question has deep connections to fundamental aspects of
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Groupoid Metrization Theory

With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis

by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux ...

Series series Mathematics and Statistics (R0)
The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided.Unique features of Metrization Theory for Groupoids: ... Read more

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The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided.Unique features of Metrization Theory for Groupoids:
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Recommended For You

Functional Analysis eBooks

Regular Functions of a Quaternionic Variable

Analysis and Geometry on Graphs and Manifolds

A Spectral Theory Of Noncommuting Operators

Banach Space Aspects of Frame Theory with Applications

Descriptive Topology and Functional Analysis II

Foundations of Symmetric Spaces of Measurable Functions

Completeness Theorems and Characteristic Matrix Functions

Geometric Properties for Parabolic and Elliptic PDE's

Applications of q-Calculus in Operator Theory

The Mathematics of Medical Imaging

Contemporary Research in Elliptic PDEs and Related Topics

Integral Operators in Non-Standard Function Spaces

Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems

Convergence Estimates in Approximation Theory

Esercizi di matematica: trasformate

From Particle Systems to Partial Differential Equations

Operator Functions And Operator Equations

Attraction in Numerical Minimization

Functional Analysis

Quaternionic de Branges Spaces and Characteristic Operator Function

Advanced Abacus

Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

The Kadison-Singer Property

Groupoid Metrization Theory