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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

$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

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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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Friendly Approach To Functional Analysis, A

by Amol Sasane ...

Series Book 0 - Essential Textbooks In Mathematics
'The book is unusual among functional analysis books in devoting a lot of space to the derivative. The â€˜friendlyâ€™ aspect promised in the title is not explained, but there are three things I think would strike most students as friendly: the slow pace, the enormous number of examples, and complete solutions to all the exercises.'MAA ReviewsThis book constitutes a concise introductory course on ... Read more

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'The book is unusual among functional analysis books in devoting a lot of space to the derivative. The â€˜friendlyâ€™ aspect promised in the title is not explained, but there are three things I think would strike most students as friendly: the slow pace, the enormous number of examples, and complete solutions to all the exercises.'MAA ReviewsThis book constitutes a concise introductory course on
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents

by Alex Kaltenbach ...

Series series Mathematics and Statistics (R0)
This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence ... Read more

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This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence
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Fredholm and Local Spectral Theory II

With Application to Weyl-type Theorems

by Pietro Aiena ...

Series series Mathematics and Statistics (R0)
This monograph concerns the relationship between the local spectral theory and Fredholm theory of bounded linear operators acting on Banach spaces. The purpose of this book is to provide a first general treatment of the theory of operators for which Weyl-type or Browder-type theorems hold.The product of intensive research carried out over the last ten years, this book explores for the first time ... Read more

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This monograph concerns the relationship between the local spectral theory and Fredholm theory of bounded linear operators acting on Banach spaces. The purpose of this book is to provide a first general treatment of the theory of operators for which Weyl-type or Browder-type theorems hold.The product of intensive research carried out over the last ten years, this book explores for the first time
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Fuzzy Differential Equations in Various Approaches

by Luciana Takata Gomes, Laécio Carvalho de Barros, Barnabas Bede ...

Series series Mathematics and Statistics (R0)
This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and ... Read more

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This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and
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Analysis And Mathematical Physics

by Shaun Bullett, Tom Fearn, Frank Smith ...

Series Book 6 - Ltcc Advanced Mathematics Series
This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative ... Read more

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This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative
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Quantum Field Theory and Functional Integrals

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by Nima Moshayedi ...

Series series Physics and Astronomy (R0)
Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view. Therein lies the main focus of Euclidean field theory. The notion of Gaussian measure and the construction of the Wiener measure are covered. As well, the notion of classical mechanics and the Schrödinger picture of quantum mechanics are recalled. There, the ... Read more

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Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view. Therein lies the main focus of Euclidean field theory. The notion of Gaussian measure and the construction of the Wiener measure are covered. As well, the notion of classical mechanics and the Schrödinger picture of quantum mechanics are recalled. There, the
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Modern Methods in Operator Theory and Harmonic Analysis

OTHA 2018, Rostov-on-Don, Russia, April 22-27, Selected, Revised and Extended Contributions

Edited by Alexey Karapetyants, Vladislav Kravchenko, Elijah Liflyand ...

Series series Springer Nature Proceedings excluding Computer Science
This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018.The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory, ... Read more

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This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018.The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory,
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Excursions in Harmonic Analysis, Volume 5

The February Fourier Talks at the Norbert Wiener Center

Edited by Radu Balan, John J. Benedetto, Wojciech Czaja, Matthew Dellatorre, Kasso A. Okoudjou ...

Series series Mathematics and Statistics (R0)
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals ... Read more

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This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals
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Fixed Point Theorems And Their Applications

by Ioannis Farmakis, Martin Moskowitz ...

This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional ... Read more

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This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional
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Exercises of Functional Analysis

by Simone Malacrida ...

In this book, exercises are carried out regarding the following mathematical topics:Banach and Hilbert spacesoperations in vector spacesLebesgue measure and integral.Initial theoretical hints are also presented to make the conduct of the exercises understandable. ... Read more

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In this book, exercises are carried out regarding the following mathematical topics:Banach and Hilbert spacesoperations in vector spacesLebesgue measure and integral.Initial theoretical hints are also presented to make the conduct of the exercises understandable.
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Introducción a la teoría de conjuntos

by Darwin Dacier Peña Gonzalez, Roberto Carlos Torres Peña ...

El libro Introducción a la teoría de conjuntos ofrece una guía clara y accesible a esta rama fundamental de las matemáticas, con amplias aplicaciones científicas. Está diseñado para estudiantes de pregrado en matemáticas y disciplinas afines, pues abarca desde conceptos básicos hasta temas más avanzados como relaciones y funciones. La obra subraya la relevancia de la teoría de conjuntos en las ... Read more

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El libro Introducción a la teoría de conjuntos ofrece una guía clara y accesible a esta rama fundamental de las matemáticas, con amplias aplicaciones científicas. Está diseñado para estudiantes de pregrado en matemáticas y disciplinas afines, pues abarca desde conceptos básicos hasta temas más avanzados como relaciones y funciones. La obra subraya la relevancia de la teoría de conjuntos en las
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Advances in Mathematical Inequalities and Applications

Edited by Praveen Agarwal, Silvestru Sever Dragomir, Mohamed Jleli, Bessem Samet ...

Series series Mathematics and Statistics (R0)
This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; ... Read more

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This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences;
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Analysis and PDE in Developing Countries

Proceedings of the ISAAC-ICMAM Conference, 2024

Edited by Duvan Cardona Sanchez, Uwe Kähler ...

Series series Springer Nature Proceedings excluding Computer Science
The current volume collects selected contributions from the ISAAC–ICMAM Conference of Analysis in Developing Countries 2024, organised jointly by the International Society for Analysis, its Applications and Computation (ISAAC) and the International Community of Mathematicians from Latin America (ICMAM Latin America). Topics covered include microlocal analysis, spectral theory, Clifford and ... Read more

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The current volume collects selected contributions from the ISAAC–ICMAM Conference of Analysis in Developing Countries 2024, organised jointly by the International Society for Analysis, its Applications and Computation (ISAAC) and the International Community of Mathematicians from Latin America (ICMAM Latin America). Topics covered include microlocal analysis, spectral theory, Clifford and
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The Navier-Stokes Problem in the 21st Century

by Pierre Gilles Lemarie-Rieusset ...

Praise for the first edition “The author is an outstanding expert in harmonic analysis who has made important contributions. The book contains rigorous proofs of a number of the latest results in the field. I strongly recommend the book to postgraduate students and researchers working on challenging problems of harmonic analysis and mathematical theory of Navier-Stokes equations."—Gregory Seregin, ... Read more

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Praise for the first edition “The author is an outstanding expert in harmonic analysis who has made important contributions. The book contains rigorous proofs of a number of the latest results in the field. I strongly recommend the book to postgraduate students and researchers working on challenging problems of harmonic analysis and mathematical theory of Navier-Stokes equations."—Gregory Seregin,
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Hyponormal Quantization of Planar Domains

Exponential Transform in Dimension Two

by Mihai Putinar, Björn Gustafsson ...

Series series Mathematics and Statistics (R0)
This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz ... Read more

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This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz
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Trigonometric Sums and Their Applications

Edited by Andrei Raigorodskii, Michael Th. Rassias ...

This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific ... Read more

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This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific
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Semigroups, Algebras and Operator Theory

ICSAOT 2022, CUSAT, India, March 28–31

Edited by A. A. Ambily, V. B. Kiran Kumar ...

Series series Springer Nature Proceedings excluding Computer Science
This book contains chapters on a range of topics in mathematics and mathematical physics, including semigroups, algebras, operator theory and quantum mechanics, most of them have been presented at the International Conference on Semigroup, Algebras, and Operator Theory (ICSAOT-22), held at Cochin, Kerala, India, from 28–31 March 2022. It highlights the significance of semigroup theory in different ... Read more

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This book contains chapters on a range of topics in mathematics and mathematical physics, including semigroups, algebras, operator theory and quantum mechanics, most of them have been presented at the International Conference on Semigroup, Algebras, and Operator Theory (ICSAOT-22), held at Cochin, Kerala, India, from 28–31 March 2022. It highlights the significance of semigroup theory in different
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Homogenization Algebras and Applications

A Deterministic Homogenization Theory

by Gabriel Nguetseng ...

Series series Mathematics and Statistics (R0)
The book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting. The main tools are the so-called homogenization algebras, the classical Gelfand representation theory, and a class of actions by the multiplicative group of positive real numbers on numerical spaces. The basic approach is ... Read more

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The book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting. The main tools are the so-called homogenization algebras, the classical Gelfand representation theory, and a class of actions by the multiplicative group of positive real numbers on numerical spaces. The basic approach is
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Nonlinear Partial Differential Equations for Future Applications

Sendai, Japan, July 10–28 and October 2–6, 2017

Edited by Shigeaki Koike, Hideo Kozono, Takayoshi Ogawa, Shigeru Sakaguchi ...

Series series Springer Nature Proceedings excluding Computer Science
This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan.The contributions address an abstract maximal regularity with applications to parabolic equations, stability, and bifurcation for viscous compressible Navier–Stokes equations, ... Read more

$1,086.79 HKD

This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan.The contributions address an abstract maximal regularity with applications to parabolic equations, stability, and bifurcation for viscous compressible Navier–Stokes equations,
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Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

by Manfred Stoll ...

Series Book 431 - London Mathematical Society Lecture Note Series
This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other ... Read more

$512.89 HKD

This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other
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Einführung in die Funktionalanalysis

by Christian Clason ...

Series series Life Science and Basic Disciplines (German Language)
Das vorliegende Lehrbuch bietet eine kompakte Einführung in die Theorie der Funktionalanalysis und ist begleitend für eine vierstündige Vorlesung im Bachelorstudium konzipiert. Es spannt den Bogen von den topologischen Grundlagen aus der Analysis-Grundvorlesung bis zur Spektraltheorie in Hilberträumen; besondere Aufmerksamkeit wird dabei den zentralen Resultaten über Dualräume und schwache ... Read more

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Das vorliegende Lehrbuch bietet eine kompakte Einführung in die Theorie der Funktionalanalysis und ist begleitend für eine vierstündige Vorlesung im Bachelorstudium konzipiert. Es spannt den Bogen von den topologischen Grundlagen aus der Analysis-Grundvorlesung bis zur Spektraltheorie in Hilberträumen; besondere Aufmerksamkeit wird dabei den zentralen Resultaten über Dualräume und schwache
... Read more

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Recommended For You

Functional Analysis eBooks

Functional Analysis

Real Analysis

Fourier Analysis

Friendly Approach To Functional Analysis, A

Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents

Fredholm and Local Spectral Theory II

Fuzzy Differential Equations in Various Approaches

Analysis And Mathematical Physics

Quantum Field Theory and Functional Integrals

Modern Methods in Operator Theory and Harmonic Analysis

Excursions in Harmonic Analysis, Volume 5

Fixed Point Theorems And Their Applications

Exercises of Functional Analysis

Introducción a la teoría de conjuntos

Advances in Mathematical Inequalities and Applications

Analysis and PDE in Developing Countries

The Navier-Stokes Problem in the 21st Century

Hyponormal Quantization of Planar Domains

Trigonometric Sums and Their Applications

Semigroups, Algebras and Operator Theory

Homogenization Algebras and Applications

Nonlinear Partial Differential Equations for Future Applications

Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

Einführung in die Funktionalanalysis