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Recommended For You

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

$619.19 HKD

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

An Introduction

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

$619.19 HKD

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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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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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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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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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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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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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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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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Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems

Chapman University, January 2024

Edited by Daniel Alpay, Izchak Lewkowicz, Adrian Vajiac, Mihaela Vajiac ...

Series series Springer Nature Proceedings excluding Computer Science
This volume presents selected contributions from a conference held at Chapman University in January 2024 on Schur analysis and its applications. The papers, written by leading researchers in the field, are divided into four sections: function theory, harmonic analysis, and operator theory; Schur analysis and signal processing; hypercomplex analysis; and infinite dimensional analysis, probabilities ... Read more

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This volume presents selected contributions from a conference held at Chapman University in January 2024 on Schur analysis and its applications. The papers, written by leading researchers in the field, are divided into four sections: function theory, harmonic analysis, and operator theory; Schur analysis and signal processing; hypercomplex analysis; and infinite dimensional analysis, probabilities
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Functional Analysis and Summability

by P.N. Natarajan ...

There are excellent books on both functional analysis and summability. Most of them are very terse. In Functional Analysis and Summability, the author makes a sincere attempt for a gentle introduction of these topics to students. In the functional analysis component of the book, the Hahn–Banach theorem, Banach–Steinhaus theorem (or uniform boundedness principle), the open mapping theorem, the ... Read more

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There are excellent books on both functional analysis and summability. Most of them are very terse. In Functional Analysis and Summability, the author makes a sincere attempt for a gentle introduction of these topics to students. In the functional analysis component of the book, the Hahn–Banach theorem, Banach–Steinhaus theorem (or uniform boundedness principle), the open mapping theorem, the
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Lineability

The Search for Linearity in Mathematics

by Richard M. Aron, Luis Bernal-Gonzalez, Daniel M. Pellegrino, Juan B. Seoane Sepulveda ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in Mathematics collects the main results on the conditions for ... Read more

$625.35 HKD

Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in Mathematics collects the main results on the conditions for
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Theory of Distributions

by M.A. Al-Gwaiz ...

Series series Chapman & Hall/CRC Pure and Applied Mathematics
A textbook for a graduate course in the theory of distributions and related topics, for students of applied mathematics or theoretical physics. Introduces the theory, explicates mathematical structures and the Hilbert-space aspects, and presents applications to typical boundary problems. Annotation ... Read more

$531.54 HKD

A textbook for a graduate course in the theory of distributions and related topics, for students of applied mathematics or theoretical physics. Introduces the theory, explicates mathematical structures and the Hilbert-space aspects, and presents applications to typical boundary problems. Annotation
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Stochastic Processes and Functional Analysis

A Volume of Recent Advances in Honor of M. M. Rao

Edited by Alan C. Krinik, Randall J. Swift ...

Series series Lecture Notes in Pure and Applied Mathematics
This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochas ... Read more

$3,283.50 HKD

This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochas
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Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces

by L.V. Kantorovich ...

Series series Classics of Soviet Mathematics
This book presents articles of L.V. Kantorovich on the descriptive theory of sets and function and on functional analysis in semi-ordered spaces, to demonstrate the unity of L.V. Kantorovich's creative research. It also includes two papers on the "extension of Hilbert space". ... Read more

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This book presents articles of L.V. Kantorovich on the descriptive theory of sets and function and on functional analysis in semi-ordered spaces, to demonstrate the unity of L.V. Kantorovich's creative research. It also includes two papers on the "extension of Hilbert space".
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Hypersingular Integral Equations and Their Applications

by I.K. Lifanov, L.N. Poltavskii, MG.M. Vainikko ...

A number of new methods for solving singular and hypersingular integral equations have emerged in recent years. This volume presents some of these new methods along with classical exact, approximate, and numerical methods. The authors explore the analysis of hypersingular integral equations based on the theory of pseudodifferential operators and co ... Read more

$523.72 HKD

A number of new methods for solving singular and hypersingular integral equations have emerged in recent years. This volume presents some of these new methods along with classical exact, approximate, and numerical methods. The authors explore the analysis of hypersingular integral equations based on the theory of pseudodifferential operators and co
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Quantitative Approximations

by George Anastassiou ...

Quantitative approximation methods apply in many diverse fields of research-neural networks, wavelets, partial differential equations, probability and statistics, functional analysis, and classical analysis to name just a few. For the first time in book form, Quantitative Approximations provides a thorough account of all of the significant developm ... Read more

$2,071.73 HKD

Quantitative approximation methods apply in many diverse fields of research-neural networks, wavelets, partial differential equations, probability and statistics, functional analysis, and classical analysis to name just a few. For the first time in book form, Quantitative Approximations provides a thorough account of all of the significant developm
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Recommended For You

Functional Analysis eBooks

Functional Analysis

Real Analysis

Fourier Analysis

Elliptic Polynomials

Real Analysis

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

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

Übungen zu Verteilungen

From Approximate Variation to Pointwise Selection Principles

Algorithms for Solving Common Fixed Point Problems

Lectures on Mappings of Finite Distortion

A Primer for Mathematical Analysis

Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems

Functional Analysis and Summability

Lineability

Theory of Distributions

Stochastic Processes and Functional Analysis

Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces

Hypersingular Integral Equations and Their Applications

Quantitative Approximations