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Elliptic Polynomials

by J.S. Lomont, John Brillhart ...

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their connections, Elliptic Polynomials combines these two areas of study, leading to an interesting development of some basic aspects of each. It presents new material about various classes of polynomials and about t ... Read more

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A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their connections, Elliptic Polynomials combines these two areas of study, leading to an interesting development of some basic aspects of each. It presents new material about various classes of polynomials and about t
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Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)

Celebrating Cora Sadosky's Life

Edited by María Cristina Pereyra, Stefania Marcantognini, Alexander M. Stokolos, Wilfredo Urbina ...

Series series Springer Nature Proceedings excluding Computer Science
This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and ... Read more

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This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and
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Spectral Methods Using Multivariate Polynomials On The Unit Ball

by Kendall Atkinson, David Chien, Olaf Hansen ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that ... Read more

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Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that
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Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces

A Sharp Theory

by Ryan Alvarado, Marius Mitrea ...

Series series Mathematics and Statistics (R0)
Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces. The text is divided into two main parts, with the first part providing atomic, molecular, and grand maximal function characterizations of Hardy spaces and formulates sharp versions of basic analytical tools for quasi-metric ... Read more

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Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces. The text is divided into two main parts, with the first part providing atomic, molecular, and grand maximal function characterizations of Hardy spaces and formulates sharp versions of basic analytical tools for quasi-metric
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Harmonic Analysis on Exponential Solvable Lie Groups

by Hidenori Fujiwara, Jean Ludwig ...

Series series Mathematics and Statistics (R0)
This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers.The orbit method invented by Kirillov is applied to study basic problems in the ... Read more

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This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers.The orbit method invented by Kirillov is applied to study basic problems in the
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Approximate Solutions of Common Fixed-Point Problems

by Alexander J. Zaslavski ...

Series series Mathematics and Statistics (R0)
This book presents results on the convergence behavior of algorithms which are known as vital tools for solving convex feasibility problems and common fixed point problems. The main goal for us in dealing with a known computational error is to find what approximate solution can be obtained and how many iterates one needs to find it. According to know results, these algorithms should converge to a ... Read more

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This book presents results on the convergence behavior of algorithms which are known as vital tools for solving convex feasibility problems and common fixed point problems. The main goal for us in dealing with a known computational error is to find what approximate solution can be obtained and how many iterates one needs to find it. According to know results, these algorithms should converge to a
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Advances in Number Theory and Applied Analysis

by Pradip Debnath, Hari Mohan Srivastava, Kalyan Chakraborty, Poom Kumam ...

Presently, the exploration of the applications of different techniques and tools of number theory and mathematical analysis are extensively prevalent in various areas of engineering, mathematical, physical, biological and statistical sciences. This book will present the most recent developments in these two fields through contributions from eminent scientists and mathematicians worldwide.The book ... Read more

S$ 146.16 SGD

Presently, the exploration of the applications of different techniques and tools of number theory and mathematical analysis are extensively prevalent in various areas of engineering, mathematical, physical, biological and statistical sciences. This book will present the most recent developments in these two fields through contributions from eminent scientists and mathematicians worldwide.The book
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Real Analysis

by Peter A. Loeb ...

Series series Mathematics and Statistics (R0)
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors.The ... Read more

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This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors.The
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Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces

by Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović ...

Series Book 2 - RSME Springer Series
This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind in this area. After several introductory chapters covering the basic material, a large variety of ... Read more

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This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind in this area. After several introductory chapters covering the basic material, a large variety of
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Gestão Da Inovação E Perspectivas Da Indústria 4.0

by Milla Lima Prazeres ...

Neste livro inovador, você será guiado através das complexidades da Nova Ordem Mundial e da gestão da inovação nas organizações modernas. Descubra como os melhores artigos científicos internacionais podem transformar a maneira como você vê a inovação. Aprenda a montar um portfólio de projetos inovadores que não só diminui riscos, mas também aumenta a eficiência. Além disso, mergulhe nos resultados ... Read more

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Neste livro inovador, você será guiado através das complexidades da Nova Ordem Mundial e da gestão da inovação nas organizações modernas. Descubra como os melhores artigos científicos internacionais podem transformar a maneira como você vê a inovação. Aprenda a montar um portfólio de projetos inovadores que não só diminui riscos, mas também aumenta a eficiência. Além disso, mergulhe nos resultados
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Gaussian Capacity Analysis

by Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan ...

Series series Mathematics and Statistics (R0)
This monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space. Included in the text is a new geometric characterization of the Gaussian 1-capacity and the Gaussian Poincaré 1-inequality. Applications to function spaces and geometric measures are also presented.This book will be of use to researchers who specialize in ... Read more

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This monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space. Included in the text is a new geometric characterization of the Gaussian 1-capacity and the Gaussian Poincaré 1-inequality. Applications to function spaces and geometric measures are also presented.This book will be of use to researchers who specialize in
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Aspects of Representation Theory and Noncommutative Harmonic Analysis

by Jean Gallier, Jocelyn Quaintance ...

Series Book 2 - Mathematical Foundations for Computer Vision, Machine Learning, and Robotics
This book presents the theory of harmonic analysis for noncommutative compact groups. If G is a commutative locally compact group, there is a well-understood theory of harmonic analysis as discussed in Aspects of Harmonic Analysis on Locally Compact Abelian Groups. If G is not commutative, things are a lot tougher. In the special case of a compact group, there is a deep interplay between analysis ... Read more

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This book presents the theory of harmonic analysis for noncommutative compact groups. If G is a commutative locally compact group, there is a well-understood theory of harmonic analysis as discussed in Aspects of Harmonic Analysis on Locally Compact Abelian Groups. If G is not commutative, things are a lot tougher. In the special case of a compact group, there is a deep interplay between analysis
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Functional Analysis Tools for Practical Use in Sciences and Engineering

by Carlos A. de Moura ...

Series series Mathematics and Statistics (R0)
This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don’t have a strong background in this branch of mathematics. For every tool, ... Read more

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This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don’t have a strong background in this branch of mathematics. For every tool,
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Entropy Methods for Diffusive Partial Differential Equations

by Ansgar Jüngel ...

Series series Mathematics and Statistics (R0)
This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of ... Read more

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This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of
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Self-Similar Energies on Finitely Ramified Fractals

by Roberto Peirone ...

Series Book 9 - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications
This monograph delves into the theory of self-similar energies on finitely ramified self-similar fractals. Using these self-similar energies, one can construct Laplacians, harmonic functions, Brownian motion, and differential equations specific to these fractals.On finitely ramified fractals, self-similar energies are derived from eigenforms — quadratic forms that are eigenvectors of a special ... Read more

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This monograph delves into the theory of self-similar energies on finitely ramified self-similar fractals. Using these self-similar energies, one can construct Laplacians, harmonic functions, Brownian motion, and differential equations specific to these fractals.On finitely ramified fractals, self-similar energies are derived from eigenforms — quadratic forms that are eigenvectors of a special
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Direct and Inverse Scattering for the Matrix Schrödinger Equation

by Tuncay Aktosun, Ricardo Weder ...

Series series Mathematics and Statistics (R0)
Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrödinger equation on the half line with the general selfadjoint boundary condition. The existence, uniqueness, construction, and characterization aspects are treated with mathematical rigor, and physical insight is provided to make the ... Read more

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Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrödinger equation on the half line with the general selfadjoint boundary condition. The existence, uniqueness, construction, and characterization aspects are treated with mathematical rigor, and physical insight is provided to make the
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Übungen zu Verteilungen

by Simone Malacrida ...

In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Distributionen und Supporttemperierte VerteilungenOperationen auf DistributionenAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen. ... Read more

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In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Distributionen und Supporttemperierte VerteilungenOperationen auf DistributionenAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen.
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Fundamentals of Functional Analysis

by Douglas Farenick ...

Series series Mathematics and Statistics (R0)
This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. The text begins with a self-contained and highly efficient introduction to topology and measure theory, which focuses on the essential notions required for the study of functional analysis, and which are often ... Read more

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This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. The text begins with a self-contained and highly efficient introduction to topology and measure theory, which focuses on the essential notions required for the study of functional analysis, and which are often
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From Approximate Variation to Pointwise Selection Principles

by Vyacheslav V. Chistyakov ...

Series series Mathematics and Statistics (R0)
The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation. The new notion of approximate variation contains more information about the bounded variation functional and has the following features: the infimum in the definition of approximate variation is not attained in general and the total Jordan variation ... Read more

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The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation. The new notion of approximate variation contains more information about the bounded variation functional and has the following features: the infimum in the definition of approximate variation is not attained in general and the total Jordan variation
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Functional Analysis and Operator Algebras

by Kenneth R. Davidson ...

Series series Mathematics and Statistics (R0)
This book offers a comprehensive introduction to various aspects of functional analysis and operator algebras.In Part I, readers will find the foundational material suitable for a one-semester course on functional analysis and linear operators. Additionally, Part I includes enrichment topics that provide flexibility for instructors.Part II covers the fundamentals of Banach algebras and C*-algebras ... Read more

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This book offers a comprehensive introduction to various aspects of functional analysis and operator algebras.In Part I, readers will find the foundational material suitable for a one-semester course on functional analysis and linear operators. Additionally, Part I includes enrichment topics that provide flexibility for instructors.Part II covers the fundamentals of Banach algebras and C*-algebras
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Algorithms for Solving Common Fixed Point Problems

by Alexander J. Zaslavski ...

Series series Mathematics and Statistics (R0)
This book details approximate solutions to common fixed point problems and convex feasibility problems in the presence of perturbations. Convex feasibility problems search for a common point of a finite collection of subsets in a Hilbert space; common fixed point problems pursue a common fixed point of a finite collection of self-mappings in a Hilbert space. A variety of algorithms are considered ... Read more

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This book details approximate solutions to common fixed point problems and convex feasibility problems in the presence of perturbations. Convex feasibility problems search for a common point of a finite collection of subsets in a Hilbert space; common fixed point problems pursue a common fixed point of a finite collection of self-mappings in a Hilbert space. A variety of algorithms are considered
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Attraction in Numerical Minimization

Iteration Mappings, Attractors, and Basins of Attraction

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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Lectures on Mappings of Finite Distortion

by Stanislav Hencl, Pekka Koskela ...

Series series Mathematics and Statistics (R0)
In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects. ... Read more

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In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects.
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A Primer for Mathematical Analysis

by David Borthwick ...

Series series Mathematics and Statistics (R0)
This book presents a concise introduction to real and complex number systems and metric space theory. The goal is to help students bridge the gap between undergraduate courses in advanced calculus and graduate level material in analysis or related subjects such as differential geometry or probability. The unifying feature in all of these subject areas is the predominance of the limit, and metric ... Read more

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This book presents a concise introduction to real and complex number systems and metric space theory. The goal is to help students bridge the gap between undergraduate courses in advanced calculus and graduate level material in analysis or related subjects such as differential geometry or probability. The unifying feature in all of these subject areas is the predominance of the limit, and metric
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Recommended For You

Functional Analysis eBooks

Elliptic Polynomials

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)

Spectral Methods Using Multivariate Polynomials On The Unit Ball

Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces

Harmonic Analysis on Exponential Solvable Lie Groups

Approximate Solutions of Common Fixed-Point Problems

Advances in Number Theory and Applied Analysis

Real Analysis

Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces

Gestão Da Inovação E Perspectivas Da Indústria 4.0

Gaussian Capacity Analysis

Aspects of Representation Theory and Noncommutative Harmonic Analysis

Functional Analysis Tools for Practical Use in Sciences and Engineering

Entropy Methods for Diffusive Partial Differential Equations

Self-Similar Energies on Finitely Ramified Fractals

Direct and Inverse Scattering for the Matrix Schrödinger Equation

Übungen zu Verteilungen

Fundamentals of Functional Analysis

From Approximate Variation to Pointwise Selection Principles

Functional Analysis and Operator Algebras

Algorithms for Solving Common Fixed Point Problems

Attraction in Numerical Minimization

Lectures on Mappings of Finite Distortion

A Primer for Mathematical Analysis