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Functional Analysis

Introduction to Further Topics in Analysis

by Elias M. Stein, Rami Shakarchi ...

This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to ... Read more

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This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to
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Real Analysis

With Proof Strategies

by Daniel W. Cunningham ...

Series series Textbooks in Mathematics
Typically, undergraduates see real analysis as one of the most diﬃcult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to ﬁnd a way to bridge the gap ... Read more

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Typically, undergraduates see real analysis as one of the most diﬃcult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to ﬁnd a way to bridge the gap
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Fourier Analysis

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by Elias M. Stein, Rami Shakarchi ...

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an ... Read more

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This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an
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A Primer on Hilbert Space Theory

Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups

by Carlo Alabiso, Ittay Weiss ...

Series series Physics and Astronomy (R0)
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high ... Read more

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This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high
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Operator Analysis

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by Jim Agler, John Edward McCarthy, Nicholas John Young ...

Series Book 219 - Cambridge Tracts in Mathematics
This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation ... Read more

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This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation
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Handbook of Analytic Operator Theory

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Series series CRC Press/Chapman and Hall Handbooks in Mathematics Series
Handbook of Analytic Operator Theory thoroughly covers the subject of holomorphic function spaces and operators acting on them. The spaces covered include Bergman spaces, Hardy spaces, Fock spaces and the Drury-Averson space. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators.The volume consists of eleven articles ... Read more

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Handbook of Analytic Operator Theory thoroughly covers the subject of holomorphic function spaces and operators acting on them. The spaces covered include Bergman spaces, Hardy spaces, Fock spaces and the Drury-Averson space. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators.The volume consists of eleven articles
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An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields

by Marco Bramanti ...

Series series Mathematics and Statistics (R0)
Hörmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active field of research. This text provides the reader with a general overview of the field, with its motivations and problems, some of its fundamental results, and some recent lines ... Read more

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Hörmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active field of research. This text provides the reader with a general overview of the field, with its motivations and problems, some of its fundamental results, and some recent lines
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New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

Chapman University, November 2019

Edited by Daniel Alpay, Ronen Peretz, David Shoikhet, Mihaela B. Vajiac ...

Series series Mathematics and Statistics (R0)
This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis.Signal processing constitutes a ... Read more

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This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis.Signal processing constitutes a
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Wave Packet Analysis of Feynman Path Integrals

by Fabio Nicola, S. Ivan Trapasso ...

Series series Mathematics and Statistics (R0)
The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics. In spite of the primary role in the advancement of modern theoretical physics and the wide range of applications, path integrals are still a source of challenging problem for mathematicians. From this ... Read more

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The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics. In spite of the primary role in the advancement of modern theoretical physics and the wide range of applications, path integrals are still a source of challenging problem for mathematicians. From this
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Introduction to Real Analysis

by Manfred Stoll ...

Series series Textbooks in Mathematics
This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous editions. A list of updates is found in the Preface to this edition.This text is based on the author’s experience in teaching graduate courses and the ... Read more

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This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous editions. A list of updates is found in the Preface to this edition.This text is based on the author’s experience in teaching graduate courses and the
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Théorie spectrale et mécanique quantique

by Mathieu Lewin ...

Series series Mathematics and Statistics (R0)
Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique. Le concept d'auto-adjonction, découvert par John von Neumann dans les années 1930, est bien plus subtil dans ce cadre que pour les matrices hermitiennes en dimension finie.Cet ouvrage peut aussi servir d’introduction mathématique à la mécanique quantique. De ... Read more

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Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique. Le concept d'auto-adjonction, découvert par John von Neumann dans les années 1930, est bien plus subtil dans ce cadre que pour les matrices hermitiennes en dimension finie.Cet ouvrage peut aussi servir d’introduction mathématique à la mécanique quantique. De
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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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Stochastic Partial Differential Equations and Applications

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Series series Lecture Notes in Pure and Applied Mathematics
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Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field. Stochastic Partial Differential Equations and Applications
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A Cp-Theory Problem Book

Special Features of Function Spaces

by Vladimir V. Tkachuk ...

Series series Mathematics and Statistics (R0)
This work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in ... Read more

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This work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in
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Nonlinear Fractional Differential Equations of Variable Order

by Mohammed Said Souid, Mustafa Inc, Amar Benkerrouche ...

The book explores the theory and applications of fractional differential equations with variable order. It delves into the mathematical foundations, including notations, definitions, and key theorems, while also addressing practical applications in various fields. The book will guide readers from basic concepts to advanced topics, making it suitable for both researchers and graduate students in ... Read more

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The book explores the theory and applications of fractional differential equations with variable order. It delves into the mathematical foundations, including notations, definitions, and key theorems, while also addressing practical applications in various fields. The book will guide readers from basic concepts to advanced topics, making it suitable for both researchers and graduate students in
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Modern Mathematical Methods and High Performance Computing in Science and Technology

M3HPCST, Ghaziabad, India, December 2015

Edited by Vinai K. Singh, H.M. Srivastava, Ezio Venturino, Michael Resch, Vijay Gupta ...

Series series Springer Nature Proceedings excluding Computer Science
The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems. Furthermore, it is valuable as a ... Read more

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The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems. Furthermore, it is valuable as a
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Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

by Karel Rektorys ...

Series series Applied and Computational Mechanics
This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations.Discussions include:ordinary differential equationsclassical theory of partial differential equationsLaplace and ... Read more

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This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations.Discussions include:ordinary differential equationsclassical theory of partial differential equationsLaplace and
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Wavelet Transforms

Kith and Kin

by Firdous A. Shah, Azhar Y. Tantary ...

Series series Textbooks in Mathematics
Wavelet Transforms: Kith and Kin serves as an introduction to contemporary aspects of time-frequency analysis encompassing the theories of Fourier transforms, wavelet transforms and their respective offshoots.This book is the first of its kind totally devoted to the treatment of continuous signals and it systematically encompasses the theory of Fourier transforms, wavelet transforms, geometrical ... Read more

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Wavelet Transforms: Kith and Kin serves as an introduction to contemporary aspects of time-frequency analysis encompassing the theories of Fourier transforms, wavelet transforms and their respective offshoots.This book is the first of its kind totally devoted to the treatment of continuous signals and it systematically encompasses the theory of Fourier transforms, wavelet transforms, geometrical
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The Stieltjes Integral

by Gregory Convertito, David Cruz-Uribe ...

The Stieltjes Integral provides a detailed, rigorous treatment of the Stieltjes integral. This integral is a generalization of the Riemann and Darboux integrals of calculus and undergraduate analysis, and can serve as a bridge between classical and modern analysis. It has applications in many areas, including number theory, statistics, physics, and finance. It begins with the Darboux integral, ... Read more

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The Stieltjes Integral provides a detailed, rigorous treatment of the Stieltjes integral. This integral is a generalization of the Riemann and Darboux integrals of calculus and undergraduate analysis, and can serve as a bridge between classical and modern analysis. It has applications in many areas, including number theory, statistics, physics, and finance. It begins with the Darboux integral,
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Fixed Point Theory from Early Foundations to Contemporary Challenges

by Sumati Kumari Panda, Velusamy Vijayakumar, Ravi P. Agarwal ...

Series series Mathematics and Statistics (R0)
This book demonstrates the significance, applicability, and widespread nature of fixed point theorems in contexts outside of mathematics, including engineering, computer science, economics, and biological sciences.In the real world, fixed point theory is used to solve problems where stability, balance, or repeated processes are involved, such as predicting economic equilibrium, optimizing traffic ... Read more

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This book demonstrates the significance, applicability, and widespread nature of fixed point theorems in contexts outside of mathematics, including engineering, computer science, economics, and biological sciences.In the real world, fixed point theory is used to solve problems where stability, balance, or repeated processes are involved, such as predicting economic equilibrium, optimizing traffic
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Extension Theory of Symmetric Operators and Boundary Value Problems

by Volodymyr Derkach, Mark Malamud ...

Series series Mathematics and Statistics (R0)
This book presents the results obtained by the authors over the last four decades in the extension theory of symmetric operators in Hilbert spaces.First, some classic results are highlighted, influenced primarily by Krein, Vishik and Birman. Then, the method of boundary triples is discussed, demonstrating the universal character of the Weyl function which arises naturally both in problems of ... Read more

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This book presents the results obtained by the authors over the last four decades in the extension theory of symmetric operators in Hilbert spaces.First, some classic results are highlighted, influenced primarily by Krein, Vishik and Birman. Then, the method of boundary triples is discussed, demonstrating the universal character of the Weyl function which arises naturally both in problems of
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Selected Lectures on Functional Analysis

Spectral Theory of Operators, Banach Algebras, and Semigroups of Operators

by Dachun Yang, Wen Yuan ...

The main aim of this book is to provide an advanced textbook on functional analysis, focusing on the functional calculus of operators. Based on basic knowledge of functional analysis on metric spaces and linear bounded operators, this book systematically introduces the spectral theory of operators and the theory of operator semigroups, including Banach algebras, spectral theories of both bounded ... Read more

$1,113.59 HKD

The main aim of this book is to provide an advanced textbook on functional analysis, focusing on the functional calculus of operators. Based on basic knowledge of functional analysis on metric spaces and linear bounded operators, this book systematically introduces the spectral theory of operators and the theory of operator semigroups, including Banach algebras, spectral theories of both bounded
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Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

Ronald G. Douglas Memorial Volume

Edited by Raul E Curto, William Helton, Huaxin Lin, Xiang Tang, Rongwei Yang, Guoliang Yu ...

Series series Springer Nature Proceedings excluding Computer Science
This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current ... Read more

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This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current
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Recommended For You

Functional Analysis eBooks

Functional Analysis

Real Analysis

Fourier Analysis

A Primer on Hilbert Space Theory

Operator Analysis

Handbook of Analytic Operator Theory

An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

Wave Packet Analysis of Feynman Path Integrals

Introduction to Real Analysis

Théorie spectrale et mécanique quantique

Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems

Introdução à Análise Funcional

Stochastic Partial Differential Equations and Applications

A Cp-Theory Problem Book

Nonlinear Fractional Differential Equations of Variable Order

Modern Mathematical Methods and High Performance Computing in Science and Technology

Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

Wavelet Transforms

The Stieltjes Integral

Fixed Point Theory from Early Foundations to Contemporary Challenges

Extension Theory of Symmetric Operators and Boundary Value Problems

Selected Lectures on Functional Analysis

Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology