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Recommended For You

Bounds for Determinants of Linear Operators and their Applications

by Michael Gil' ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and ... Read more

RM 882.14

This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and
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Advances in Functional Analysis and Fixed-Point Theory

An Interdisciplinary Approach

Edited by Bipan Hazarika, Santanu Acharjee, Dragan S. Djordjević ...

Series series Mathematics and Statistics (R0)
This book presents a curated selection of recent research in functional analysis and fixed-point theory, exploring their applications in interdisciplinary fields. The primary objective is to establish a connection between the latest developments in functional analysis and fixed-point theory and the broader interdisciplinary research landscape. By doing so, this book aims to address the needs of ... Read more

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This book presents a curated selection of recent research in functional analysis and fixed-point theory, exploring their applications in interdisciplinary fields. The primary objective is to establish a connection between the latest developments in functional analysis and fixed-point theory and the broader interdisciplinary research landscape. By doing so, this book aims to address the needs of
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Fundamentals of Convex Analysis and Optimization

A Supremum Function Approach

by Rafael Correa, Abderrahim Hantoute, Marco A. López ...

Series series Mathematics and Statistics (R0)
This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a ... Read more

RM 209.59

This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a
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Morrey Spaces

Introduction and Applications to Integral Operators and PDE’s, Volume II

by Yoshihiro Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial diﬀerential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial diﬀerential equations and mathematical physics.Across two volumes, the authors of Morrey Spaces: Introduction and Applications ... Read more

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Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial diﬀerential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial diﬀerential equations and mathematical physics.Across two volumes, the authors of Morrey Spaces: Introduction and Applications
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Open Quantum Systems

A Mathematical Perspective

Edited by Dorothea Bahns, Anke Pohl, Ingo Witt ...

Series series Tutorials, Schools, and Workshops in the Mathematical Sciences
This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to ... Read more

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This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to
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Index Theory Beyond the Fredholm Case

by Alan Carey, Galina Levitina ...

Series series Mathematics and Statistics (R0)
This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in ... Read more

RM 251.59

This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in
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Singular Bilinear Integrals

by Brian Raymond Frederick Jefferies ...

'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.'Mathematical ReviewsThe integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for ... Read more

RM 275.29

'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.'Mathematical ReviewsThe integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for
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Topics in Uniform Approximation of Continuous Functions

by Ileana Bucur, Gavriil Paltineanu ...

Series series Mathematics and Statistics (R0)
This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass’ theorems obtained by ... Read more

RM 230.59

This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass’ theorems obtained by
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Semitopological Vector Spaces

Hypernorms, Hyperseminorms, and Operators

by Mark Burgin ...

This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and ... Read more

RM 686.11

This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and
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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

RM 377.29

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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Orthonormal Series Estimators

by Odile Pons ...

The approximation and the estimation of nonparametric functions by projections on an orthonormal basis of functions are useful in data analysis. This book presents series estimators defined by projections on bases of functions, they extend the estimators of densities to mixture models, deconvolution and inverse problems, to semi-parametric and nonparametric models for regressions, hazard functions ... Read more

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The approximation and the estimation of nonparametric functions by projections on an orthonormal basis of functions are useful in data analysis. This book presents series estimators defined by projections on bases of functions, they extend the estimators of densities to mixture models, deconvolution and inverse problems, to semi-parametric and nonparametric models for regressions, hazard functions
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Approximation with Positive Linear Operators and Linear Combinations

by Vijay Gupta, Gancho Tachev ...

Series series Mathematics and Statistics (R0)
This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , ... Read more

RM 377.29

This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln ,
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Proof of the Riemann Hypothesis

by Marcello Colozzo ...

We prove the Riemann Hypothesis by studying the behavior of a holomorphic function which has the same non-trivial zeros as the Riemann zeta function.Marcello Colozzo, a graduate in Physics, has been involved in online teaching of Mathematics and Physics since 2008 through the Extra Byte website where "simulations" are performed in the Mathematica computing environment. In recent years he has ... Read more

RM 7.80 or Free with Kobo Plus

We prove the Riemann Hypothesis by studying the behavior of a holomorphic function which has the same non-trivial zeros as the Riemann zeta function.Marcello Colozzo, a graduate in Physics, has been involved in online teaching of Mathematics and Physics since 2008 through the Extra Byte website where "simulations" are performed in the Mathematica computing environment. In recent years he has
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From Classical to Modern Analysis

by Rinaldo B. Schinazi ...

This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of ... Read more

RM 209.59

This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of
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Number Theory And Its Applications

by Fuhuo Li, Nianliang Wang, Shigeru Kanemitsu ...

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in ... Read more

RM 78.29

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in
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Minha Entrevista À Revista Inversos - 2018

by Celso Prei ...

MINHA ENTREVISTA À REVISTA INVERSOS - 2018 completa - leitura grátis ... Read more

RM 43.09 or Free with Kobo Plus

MINHA ENTREVISTA À REVISTA INVERSOS - 2018 completa - leitura grátis
... Read more
A Concise Introduction to Analysis

by Daniel W. Stroock ...

Series series Mathematics and Statistics (R0)
This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and ... Read more

RM 188.69

This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and
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Spectral Theory of Block Multivalued Operator Matrices

by Aymen Ammar, Aref Jeribi ...

Series series Mathematics and Statistics (R0)
This book presents a wide panorama of methods to investigate the spectral theory of bounded and unbounded block matrices of linear relations. It explains some conditions to prove some Frobenius–Schur decompositions for linear relations and characterizes the stability of the essential spectra of these linear relations. It focuses on the study of the Fredholm theory in both Banach and Hilbert spaces ... Read more

RM 503.09

This book presents a wide panorama of methods to investigate the spectral theory of bounded and unbounded block matrices of linear relations. It explains some conditions to prove some Frobenius–Schur decompositions for linear relations and characterizes the stability of the essential spectra of these linear relations. It focuses on the study of the Fredholm theory in both Banach and Hilbert spaces
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Operator Approximant Problems Arising from Quantum Theory

by Philip J. Maher ...

This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory. The research presented is in non-commutative operator approximation theory or, to use Halmos' terminology, in operator approximants. Focusing on the concept of approximants, this self-contained book is suitable for graduate courses. ... Read more

RM 209.59

This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory. The research presented is in non-commutative operator approximation theory or, to use Halmos' terminology, in operator approximants. Focusing on the concept of approximants, this self-contained book is suitable for graduate courses.
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Theory of Distributions

by Svetlin G. Georgiev ...

Series series Mathematics and Statistics (R0)
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This ... Read more

RM 230.59

This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This
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An Introductory Course in Functional Analysis

by Adam Bowers, Nigel J. Kalton ...

Series series Mathematics and Statistics (R0)
Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in ... Read more

RM 314.49

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in
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Born-Jordan Quantization

Theory and Applications

by Maurice A. de Gosson ...

Series series Physics and Astronomy (R0)
This book presents a comprehensive mathematical study of the operators behind the Born–Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born–Jordan scheme is used. Thus, Born–Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book ... Read more

RM 209.59

This book presents a comprehensive mathematical study of the operators behind the Born–Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born–Jordan scheme is used. Thus, Born–Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book
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Writing Proofs in Analysis

by Jonathan M. Kane ...

Series series Mathematics and Statistics (R0)
This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical ... Read more

RM 251.59

This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical
... Read more
Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

A Functional Approach

by Viviane Baladi ...

Series series Mathematics and Statistics (R0)
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer ... Read more

RM 503.09

The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer
... Read more

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Recommended For You

Functional Analysis eBooks

Bounds for Determinants of Linear Operators and their Applications

Advances in Functional Analysis and Fixed-Point Theory

Fundamentals of Convex Analysis and Optimization

Morrey Spaces

Open Quantum Systems

Index Theory Beyond the Fredholm Case

Singular Bilinear Integrals

Topics in Uniform Approximation of Continuous Functions

Semitopological Vector Spaces

Groupoid Metrization Theory

Orthonormal Series Estimators

Approximation with Positive Linear Operators and Linear Combinations

Proof of the Riemann Hypothesis

From Classical to Modern Analysis

Number Theory And Its Applications

Minha Entrevista À Revista Inversos - 2018

A Concise Introduction to Analysis

Spectral Theory of Block Multivalued Operator Matrices

Operator Approximant Problems Arising from Quantum Theory

Theory of Distributions

An Introductory Course in Functional Analysis

Born-Jordan Quantization

Writing Proofs in Analysis

Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps