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Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture

af Valerio Capraro, Martino Lupini, Vladimir Pestov ...

Serier serie Mathematics and Statistics (R0)
This monograph presents some cornerstone results in the study of sofic and hyperlinear groups and the closely related Connes' embedding conjecture. These notions, as well as the proofs of many results, are presented in the framework of model theory for metric structures. This point of view, rarely explicitly adopted in the literature, clarifies the ideas therein, and provides additional tools to ... Læs mere

345,53 kr.

This monograph presents some cornerstone results in the study of sofic and hyperlinear groups and the closely related Connes' embedding conjecture. These notions, as well as the proofs of many results, are presented in the framework of model theory for metric structures. This point of view, rarely explicitly adopted in the literature, clarifies the ideas therein, and provides additional tools to
... Læs mere
Approximation of Euclidean Metric by Digital Distances

af Jayanta Mukhopadhyay ...

Serier serie Computer Science (R0)
This book discusses different types of distance functions defined in an n-D integral space for their usefulness in approximating the Euclidean metric. It discusses the properties of these distance functions and presents various kinds of error analysis in approximating Euclidean metrics. It also presents a historical perspective on efforts and motivation for approximating Euclidean metrics by ... Læs mere

466,97 kr.

This book discusses different types of distance functions defined in an n-D integral space for their usefulness in approximating the Euclidean metric. It discusses the properties of these distance functions and presents various kinds of error analysis in approximating Euclidean metrics. It also presents a historical perspective on efforts and motivation for approximating Euclidean metrics by
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Singularly Perturbed Boundary Value Problems

A Functional Analytic Approach

af Matteo Dalla Riva, Massimo Lanza de Cristoforis, Paolo Musolino ...

Serier serie Mathematics and Statistics (R0)
This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation ... Læs mere

1.401,08 kr.

This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation
... Læs mere
Computational Methods In The Fractional Calculus Of Variations

af Ricardo Almeida, Shakoor Pooseh, Delfim F M Torres ...

This book fills a gap in the literature by introducing numerical techniques to solve problems of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.The authors are well-known researchers in the area of FCV and the book contains some of their recent results, serving ... Læs mere

248,55 kr.

This book fills a gap in the literature by introducing numerical techniques to solve problems of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.The authors are well-known researchers in the area of FCV and the book contains some of their recent results, serving
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Banach Algebras of Ultrametric Functions

af Alain Escassut ...

This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to ... Læs mere

753,67 kr.

This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to
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A Friendly Approach to Complex Analysis

af Sara Maad Sasane, Amol Sasane ...

The book constitutes a basic, concise, yet rigorous first course in complex analysis, for undergraduate students who have studied multivariable calculus and linear algebra. The textbook should be particularly useful for students of joint programmes with mathematics, as well as engineering students seeking rigour. The aim of the book is to cover the bare bones of the subject with minimal ... Læs mere

304,67 kr.

The book constitutes a basic, concise, yet rigorous first course in complex analysis, for undergraduate students who have studied multivariable calculus and linear algebra. The textbook should be particularly useful for students of joint programmes with mathematics, as well as engineering students seeking rigour. The aim of the book is to cover the bare bones of the subject with minimal
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Integration Theory

af K. Weber ...

Serier serie Chapman Hall/CRC Mathematics Series
This introductory text acts as a singular resource for undergraduates learning the fundamental principles and applications of integration theory.Chapters discuss: function spaces and functionals, extension of Daniell spaces, measures of Hausdorff spaces, spaces of measures, elements of the theory of real functions on R. ... Læs mere

1.345,24 kr.

This introductory text acts as a singular resource for undergraduates learning the fundamental principles and applications of integration theory.Chapters discuss: function spaces and functionals, extension of Daniell spaces, measures of Hausdorff spaces, spaces of measures, elements of the theory of real functions on R.
... Læs mere
Representations of Solvable Lie Groups

Basic Theory and Examples

af Didier Arnal, Bradley Currey ...

Serier Bog 39 - New Mathematical Monographs
The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups. ... Læs mere

1.611,56 kr.

The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups.
... Læs mere
Neural Networks as Positive Linear Operators

af George A Anastassiou ...

Serier Bog 28 - Series on Concrete and Applicable Mathematics
This research monograph presents a groundbreaking unification of neural network approximation theory through the lens of Positive Linear Operators (PLOs). For the first time in the literature, neural network operators and activated convolution operators are rigorously analyzed as PLOs — providing a comprehensive, quantitative framework based on inequalities and the modulus of continuity.The author ... Læs mere

1.010,23 kr.

This research monograph presents a groundbreaking unification of neural network approximation theory through the lens of Positive Linear Operators (PLOs). For the first time in the literature, neural network operators and activated convolution operators are rigorously analyzed as PLOs — providing a comprehensive, quantitative framework based on inequalities and the modulus of continuity.The author
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Approximate Solutions of Common Fixed-Point Problems

af Alexander J. Zaslavski ...

Serier serie Mathematics and Statistics (R0)
This book presents results on the convergence behavior of algorithms which are known as vital tools for solving convex feasibility problems and common fixed point problems. The main goal for us in dealing with a known computational error is to find what approximate solution can be obtained and how many iterates one needs to find it. According to know results, these algorithms should converge to a ... Læs mere

934,02 kr.

This book presents results on the convergence behavior of algorithms which are known as vital tools for solving convex feasibility problems and common fixed point problems. The main goal for us in dealing with a known computational error is to find what approximate solution can be obtained and how many iterates one needs to find it. According to know results, these algorithms should converge to a
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Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1)

Celebrating Cora Sadosky's life

Redigeret af María Cristina Pereyra, Stefania Marcantognini, Alexander M. Stokolos, Wilfredo Urbina ...

Serier serie Springer Nature Proceedings excluding Computer Science
Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fields, and features fully-refereed, high-quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, and partial differential equations. ... Læs mere

1.307,67 kr.

Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fields, and features fully-refereed, high-quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, and partial differential equations.
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Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields

af Anatoly Kochubei ...

Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equat ... Læs mere

3.121,20 kr.

Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equat
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Semitopological Vector Spaces

Hypernorms, Hyperseminorms, and Operators

af Mark Burgin ...

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

1.237,72 kr.

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

PSPDE V, Braga, Portugal, November 2016

Redigeret af Patrícia Gonçalves, Ana Jacinta Soares ...

Serier serie Springer Nature Proceedings excluding Computer Science
This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations V, which was held at the University of Minho, Braga, Portugal, from the 28th to 30th November 2016. It includes papers on mathematical problems motivated by various applications in physics, engineering, economics, chemistry, and biology.The purpose of the conference was to bring ... Læs mere

840,61 kr.

This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations V, which was held at the University of Minho, Braga, Portugal, from the 28th to 30th November 2016. It includes papers on mathematical problems motivated by various applications in physics, engineering, economics, chemistry, and biology.The purpose of the conference was to bring
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Multiparameter Eigenvalue Problems

Sturm-Liouville Theory

af F.V. Atkinson, Angelo B. Mingarelli ...

One of the masters in the differential equations community, the late F.V. Atkinson contributed seminal research to multiparameter spectral theory and Sturm-Liouville theory. His ideas and techniques have long inspired researchers and continue to stimulate discussion. With the help of co-author Angelo B. Mingarelli, Multiparameter Eigenvalue Problem ... Læs mere

764,05 kr.

One of the masters in the differential equations community, the late F.V. Atkinson contributed seminal research to multiparameter spectral theory and Sturm-Liouville theory. His ideas and techniques have long inspired researchers and continue to stimulate discussion. With the help of co-author Angelo B. Mingarelli, Multiparameter Eigenvalue Problem
... Læs mere
Pseudo-Differential Operators and the Weinstein Transform

af Santosh Kumar Upadhyay, Mohd Sartaj ...

Serier serie Mathematics and Statistics (R0)
This book discusses topics on the Fourier transform, Hankel transform, Weinstein transform, and pseudo-differential operators. Targeted to researchers and graduate students, it is useful in the study of the theory of pseudo-differential operators involving the Weinstein transform. This book is also helpful in the study of partial differential equations, wavelet analysis, harmonic analysis, and ... Læs mere

934,02 kr.

This book discusses topics on the Fourier transform, Hankel transform, Weinstein transform, and pseudo-differential operators. Targeted to researchers and graduate students, it is useful in the study of the theory of pseudo-differential operators involving the Weinstein transform. This book is also helpful in the study of partial differential equations, wavelet analysis, harmonic analysis, and
... Læs mere
Exercices de théorie de Galois

af Simone Malacrida ...

Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :polynômes et formes symétriquesModules de Cauchy et monodromieÉquations binomiales, du deuxième, du troisième et du quatrième degré.Des premières indications théoriques sont également présentées pour rendre compréhensible le déroulement des exercices. ... Læs mere

31,99 kr.

Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :polynômes et formes symétriquesModules de Cauchy et monodromieÉquations binomiales, du deuxième, du troisième et du quatrième degré.Des premières indications théoriques sont également présentées pour rendre compréhensible le déroulement des exercices.
... Læs mere
Wavelets from a Statistical Perspective

af Maarten Jansen ...

Wavelets from a Statistical Perspective offers a modern, 2nd generation look on wavelets, far beyond the rigid setting of the equispaced, dyadic wavelets in the early days. With the methods of this book, based on the lifting scheme, researchers can set up a wavelet or another multiresolution analysis adapted to their data, ranging from images to scattered data or other irregularly spaced ... Læs mere

548,79 kr.

Wavelets from a Statistical Perspective offers a modern, 2nd generation look on wavelets, far beyond the rigid setting of the equispaced, dyadic wavelets in the early days. With the methods of this book, based on the lifting scheme, researchers can set up a wavelet or another multiresolution analysis adapted to their data, ranging from images to scattered data or other irregularly spaced
... Læs mere
Introduction to Analysis

Theorems and Examples

af Hidefumi Katsuura ...

Serier serie Synthesis Collection of Technology (R0)
This book focuses on the theoretical aspects of calculus. The book begins with a chapter on set theory before thoroughly discussing real numbers, then moves onto sequences, series, and their convergence. The author explains why an understanding of real numbers is essential in order to create a foundation for studying analysis. Since the Cantor set is elusive to many, a section is devoted to binary ... Læs mere

420,26 kr.

This book focuses on the theoretical aspects of calculus. The book begins with a chapter on set theory before thoroughly discussing real numbers, then moves onto sequences, series, and their convergence. The author explains why an understanding of real numbers is essential in order to create a foundation for studying analysis. Since the Cantor set is elusive to many, a section is devoted to binary
... Læs mere
Analysis at Large

Dedicated to the Life and Work of Jean Bourgain

Redigeret af Artur Avila, Michael Th. Rassias, Yakov Sinai ...

Analysis at Large is dedicated to Jean Bourgain whose research has deeply influenced the mathematics discipline, particularly in analysis and its interconnections with other fields. In this volume, the contributions made by renowned experts present both research and surveys on a wide spectrum of subjects, each of which pay tribute to a true mathematical pioneer. Examples of topics discussed in ... Læs mere

1.214,26 kr.

Analysis at Large is dedicated to Jean Bourgain whose research has deeply influenced the mathematics discipline, particularly in analysis and its interconnections with other fields. In this volume, the contributions made by renowned experts present both research and surveys on a wide spectrum of subjects, each of which pay tribute to a true mathematical pioneer. Examples of topics discussed in
... Læs mere
Near Vector Spaces and Related Topics

af Hsien-Chung Wu ...

Near Vector Spaces and Related Topics provides a systematic treatment of the introductory theory of near vector spaces, as well as a range of associated areas.Since many topics in nonlinear analysis rely on the properties established in topological vector space, the concepts and topics presented in this book may stir up the interest of some researchers working in mathematical analysis, especially ... Læs mere

2.260,18 kr.

Near Vector Spaces and Related Topics provides a systematic treatment of the introductory theory of near vector spaces, as well as a range of associated areas.Since many topics in nonlinear analysis rely on the properties established in topological vector space, the concepts and topics presented in this book may stir up the interest of some researchers working in mathematical analysis, especially
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Quantization Methods in the Theory of Differential Equations

af Vladimir E. Nazaikinskii, B.-W. Schulze, Boris Yu. Sternin ...

Serier serie Differential and Integral Equations and Their Applications
This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified w ... Læs mere

2.636,88 kr.

This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified w
... Læs mere
Hamiltonian Partial Differential Equations and Applications

Redigeret af Philippe Guyenne, David Nicholls, Catherine Sulem ...

Serier Bog 75 - Fields Institute Communications
This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to ... Læs mere

466,97 kr.

This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to
... Læs mere
Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces

af Behzad Djafari Rouhani, Hadi Khatibzadeh ...

This book is devoted to the study of non-linear evolution and difference equations of first or second order governed by maximal monotone operator. This class of abstract evolution equations contains ordinary differential equations, as well as the unification of some important partial differential equations including heat equation, wave equation, Schrodinger equation, etc. The book contains a ... Læs mere

581,08 kr.

This book is devoted to the study of non-linear evolution and difference equations of first or second order governed by maximal monotone operator. This class of abstract evolution equations contains ordinary differential equations, as well as the unification of some important partial differential equations including heat equation, wave equation, Schrodinger equation, etc. The book contains a
... Læs mere

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Funktionel analyse e-bøger

Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture

Approximation of Euclidean Metric by Digital Distances

Singularly Perturbed Boundary Value Problems

Computational Methods In The Fractional Calculus Of Variations

Banach Algebras of Ultrametric Functions

A Friendly Approach to Complex Analysis

Integration Theory

Representations of Solvable Lie Groups

Neural Networks as Positive Linear Operators

Approximate Solutions of Common Fixed-Point Problems

Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1)

Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields

Semitopological Vector Spaces

From Particle Systems to Partial Differential Equations

Multiparameter Eigenvalue Problems

Pseudo-Differential Operators and the Weinstein Transform

Exercices de théorie de Galois

Wavelets from a Statistical Perspective

Introduction to Analysis

Analysis at Large

Near Vector Spaces and Related Topics

Quantization Methods in the Theory of Differential Equations

Hamiltonian Partial Differential Equations and Applications

Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces