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Recommended For You

A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

by Sebastian Klein ...

Series series Mathematics and Statistics (R0)
This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an ... Read more

RM 167.69

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an
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Landscapes of Time-Frequency Analysis

ATFA 2019

Edited by Paolo Boggiatto, Tommaso Bruno, Elena Cordero, Hans G. Feichtinger, Fabio Nicola, Alessandro Oliaro, Anita Tabacco, Maria Vallarino ...

Series series Mathematics and Statistics (R0)
This contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA 19), held at Politecnico di Torino from June 25th to June 27th, 2019. Written by experts in harmonic analysis and its applications, these chapters provide a valuable overview of the state-of-the-art of this active area of research. New results are ... Read more

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This contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA 19), held at Politecnico di Torino from June 25th to June 27th, 2019. Written by experts in harmonic analysis and its applications, these chapters provide a valuable overview of the state-of-the-art of this active area of research. New results are
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Selected Topics on Generalized Integration

by Tin Lam Toh, Hemanta Kalita, Anca Croitoru, Tomas Perez Becerra, Bipan Hazarika ...

This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves into the Henstock–Kurzweil and McShane gauge integrals, presenting a more intuitive and versatile alternative to the traditional Lebesgue integral. By ... Read more

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This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves into the Henstock–Kurzweil and McShane gauge integrals, presenting a more intuitive and versatile alternative to the traditional Lebesgue integral. By
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Operator Algebras and Applications

The Abel Symposium 2015

Edited by Sergey Neshveyev, Nadia S. Larsen, Toke M. Carlsen, Christian Skau ...

Series series Springer Nature Proceedings excluding Computer Science
Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject.The field of operator ... Read more

RM 876.29

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject.The field of operator
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The Rademacher System in Function Spaces

by Sergey V. Astashkin ...

Series series Mathematics and Statistics (R0)
This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system ... Read more

RM 628.89

This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system
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Convolution-like Structures, Differential Operators and Diffusion Processes

by Rúben Sousa, Manuel Guerra, Semyon Yakubovich ...

Series series Mathematics and Statistics (R0)
This book provides an introduction to recent developments in the theory of generalized harmonic analysis and its applications. It is well known that convolutions, differential operators and diffusion processes are interconnected: the ordinary convolution commutes with the Laplacian, and the law of Brownian motion has a convolution semigroup property with respect to the ordinary convolution. ... Read more

RM 251.59

This book provides an introduction to recent developments in the theory of generalized harmonic analysis and its applications. It is well known that convolutions, differential operators and diffusion processes are interconnected: the ordinary convolution commutes with the Laplacian, and the law of Brownian motion has a convolution semigroup property with respect to the ordinary convolution.
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Opticks: Full and Fine Text of 1704 Edition (Illustrated and Bundled with Life of Isaac Newton)

by Isaac Newton ...

The book has an active table of contents for readers to access each chapter of the following titles:OPTICKS OR, A TREATISE OF THE REFLECTIONS, REFRACTIONS, INFLECTIONS AND COLOURSOF LIGHT – ISAAC NEWTONLIFE OF SIR ISAAC NEWTON - N. W. CHITTENDENThe key contribution of Newton to the modern science and engineering was the books OPTICS and THE MATHEMATICAL PRINCIPLES OF NATURAL PHILOSOPHY.Opticks was ... Read more

RM 4.16

The book has an active table of contents for readers to access each chapter of the following titles:OPTICKS OR, A TREATISE OF THE REFLECTIONS, REFRACTIONS, INFLECTIONS AND COLOURSOF LIGHT – ISAAC NEWTONLIFE OF SIR ISAAC NEWTON - N. W. CHITTENDENThe key contribution of Newton to the modern science and engineering was the books OPTICS and THE MATHEMATICAL PRINCIPLES OF NATURAL PHILOSOPHY.Opticks was
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Positive Definite Matrices

by Rajendra Bhatia ...

Series series Princeton Series in Applied Mathematics
This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, ... Read more

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This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis,
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Continuous Versions of Some Classical Inequalities

by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec ...

Series series Mathematics and Statistics (R0)
This book presents the new fascinating area of continuous inequalities. It was recently discovered that several of the classical inequalities can be generalized and given in a more general continuous/family form. The book states, proves and discusses a number of classical inequalities in such continuous/family forms. Moreover, since many of the classical inequalities hold also in a refined form, ... Read more

RM 230.59

This book presents the new fascinating area of continuous inequalities. It was recently discovered that several of the classical inequalities can be generalized and given in a more general continuous/family form. The book states, proves and discusses a number of classical inequalities in such continuous/family forms. Moreover, since many of the classical inequalities hold also in a refined form,
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Real Analysis: Theory Of Measure And Integration (3rd Edition)

by James J Yeh ...

This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem ... Read more

RM 239.99

This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem
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Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2017-2019 Volume I

Edited by Bo'az Klartag, Emanuel Milman ...

Series series Mathematics and Statistics (R0)
Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest ... Read more

RM 272.49

Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest
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Lectures on Convex Geometry

by Daniel Hug, Wolfgang Weil ...

Series series Mathematics and Statistics (R0)
This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection ... Read more

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This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection
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Pseudodifferential Operators and Wavelets over Real and p-adic Fields

by Nguyen Minh Chuong ...

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields.Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs) ... Read more

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This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields.Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs)
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Topological Quantum Field Theories from Subfactors

by Vijay Kodiyalam ...

Series series Chapman & Hall/CRC Research Notes in Mathematics Series
Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is both detailed and accessible. Topological Quant ... Read more

RM 290.09

Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is both detailed and accessible. Topological Quant
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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 offers an essential 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 providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in ... Read more

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This book offers an essential 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 providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in
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Modular Forms and Related Topics in Number Theory

Kozhikode, India, December 10–14, 2018

Edited by B. Ramakrishnan, Bernhard Heim, Brundaban Sahu ...

Series series Springer Nature Proceedings excluding Computer Science
This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10–14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate their current research works. This book benefits young research scholars, postdoctoral fellows, and ... Read more

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This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10–14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate their current research works. This book benefits young research scholars, postdoctoral fellows, and
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Inverse Problems and Applications

Edited by Larisa Beilina ...

Series series Springer Nature Proceedings excluding Computer Science
This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods. The book highlights recent research focusing on reliable numerical techniques ... Read more

RM 377.29

This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods. The book highlights recent research focusing on reliable numerical techniques
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Applied Analysis in Biological and Physical Sciences

ICMBAA, Aligarh, India, June 2015

Edited by Jim M. Cushing, M. Saleem, H. M. Srivastava, Mumtaz Ahmad Khan, M. Merajuddin ...

Series series Springer Nature Proceedings excluding Computer Science
The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities, ... Read more

RM 586.99

The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities,
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Lectures on Analytic Function Spaces and their Applications

Edited by Javad Mashreghi ...

Series series Mathematics and Statistics (R0)
The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics ... Read more

RM 628.89

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics
... Read more
Analysis and Geometry of Markov Diffusion Operators

by Ivan Gentil, Dominique Bakry, Michel Ledoux ...

Series series Mathematics and Statistics (R0)
The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At ... Read more

RM 544.99

The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At
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Invariant Probabilities of Transition Functions

by Radu Zaharopol ...

Series series Mathematics and Statistics (R0)
The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other ... Read more

RM 377.29

The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other
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Mathematical Methods in Physics

Distributions, Hilbert Space Operators, Variational Methods, and Applications in Quantum Physics

by Philippe Blanchard, Erwin Brüning ...

Series series Mathematics and Statistics (R0)
The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as ... Read more

RM 544.99

The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as
... Read more
New Trends in Complex Analysis, Fourier Analysis, and Operator Theory

Edited by Nicola Arcozzi, Marco Peloso, Anita Tabacco ...

Series series Springer Nature Proceedings excluding Computer Science
This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022. This workshop was funded by the Istituto Nazionale di Alta Matematica (INdAM) and took place at the institute's Rome headquarters. The research topics addressed during the workshop encompass areas such as ... Read more

RM 918.19

This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022. This workshop was funded by the Istituto Nazionale di Alta Matematica (INdAM) and took place at the institute's Rome headquarters. The research topics addressed during the workshop encompass areas such as
... Read more
Transfer Operators, Endomorphisms, and Measurable Partitions

by Sergey Bezuglyi, Palle E. T. Jorgensen ...

Series series Mathematics and Statistics (R0)
The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of ... Read more

RM 167.69

The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of
... Read more

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Recommended For You

Functional Analysis eBooks

A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

Landscapes of Time-Frequency Analysis

Selected Topics on Generalized Integration

Operator Algebras and Applications

The Rademacher System in Function Spaces

Convolution-like Structures, Differential Operators and Diffusion Processes

Opticks: Full and Fine Text of 1704 Edition (Illustrated and Bundled with Life of Isaac Newton)

Positive Definite Matrices

Continuous Versions of Some Classical Inequalities

Real Analysis: Theory Of Measure And Integration (3rd Edition)

Geometric Aspects of Functional Analysis

Lectures on Convex Geometry

Pseudodifferential Operators and Wavelets over Real and p-adic Fields

Topological Quantum Field Theories from Subfactors

A Primer on Hilbert Space Theory

Modular Forms and Related Topics in Number Theory

Inverse Problems and Applications

Applied Analysis in Biological and Physical Sciences

Lectures on Analytic Function Spaces and their Applications

Analysis and Geometry of Markov Diffusion Operators

Invariant Probabilities of Transition Functions

Mathematical Methods in Physics

New Trends in Complex Analysis, Fourier Analysis, and Operator Theory

Transfer Operators, Endomorphisms, and Measurable Partitions