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Analysis without Borders

Dedicated to Ilya Spitkovsky on Occasion of his 70th Anniversary

Redigeret af Sergei Rogosin ...

Serier serie Mathematics and Statistics (R0)
This book is a tribute to the achievements of Ilya Spitkovsky in operator theory, pseudo-differential and integral equations, factorization theory and many other related topics.Ilya Spitkovsky started his career under the guidance of Mark Krein in Odessa, Ukraine. During these years, Ilya’s rigorous and clear style of doing mathematics matured. Since 1990 Ilya Spitkovsky has been a professor of ... Læs mere

1.401,08 kr.

This book is a tribute to the achievements of Ilya Spitkovsky in operator theory, pseudo-differential and integral equations, factorization theory and many other related topics.Ilya Spitkovsky started his career under the guidance of Mark Krein in Odessa, Ukraine. During these years, Ilya’s rigorous and clear style of doing mathematics matured. Since 1990 Ilya Spitkovsky has been a professor of
... Læs mere
Mathematical Foundations of Computational Electromagnetism

af Franck Assous, Patrick Ciarlet, Simon Labrunie ...

Serier serie Mathematics and Statistics (R0)
This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The ... Læs mere

1.214,26 kr.

This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The
... Læs mere
Multidimensional Periodic Schrödinger Operator

Perturbation Theories for High Energy Regions and Their Applications

af Oktay Veliev ...

Serier serie Physics and Astronomy (R0)
This book describes the direct and inverse problems of the multidimensional Schrödinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch ... Læs mere

1.214,26 kr.

This book describes the direct and inverse problems of the multidimensional Schrödinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch
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An Introduction to Special Functions

af Carlo Viola ...

Serier serie Mathematics and Statistics (R0)
The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable ... Læs mere

513,67 kr.

The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable
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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

af Joram Lindenstrauss, David Preiss, Jaroslav Tišer ...

Serier Bog 179 - Annals of Mathematics Studies
This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz ... Læs mere

Før 1.826,49 kr. Nu 783,74 kr.

This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz
... Læs mere
Spectral Theory of Block Multivalued Operator Matrices

af Aymen Ammar, Aref Jeribi ...

Serier serie Mathematics and Statistics (R0)
This book presents a wide panorama of methods to investigate the spectral theory of bounded and unbounded block matrices of linear relations. It explains some conditions to prove some Frobenius–Schur decompositions for linear relations and characterizes the stability of the essential spectra of these linear relations. It focuses on the study of the Fredholm theory in both Banach and Hilbert spaces ... Læs mere

1.120,85 kr.

This book presents a wide panorama of methods to investigate the spectral theory of bounded and unbounded block matrices of linear relations. It explains some conditions to prove some Frobenius–Schur decompositions for linear relations and characterizes the stability of the essential spectra of these linear relations. It focuses on the study of the Fredholm theory in both Banach and Hilbert spaces
... Læs mere
Calculus Without Derivatives

af Jean-Paul Penot ...

Serier serie Mathematics and Statistics (R0)
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general ... Læs mere

747,20 kr.

Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general
... Læs mere
Extended Abstracts MWCAPDE 2023

Methusalem Workshop on Classical Analysis and Partial Differential Equations

Redigeret af Michael Ruzhansky, Berikbol Torebek ...

Serier serie Springer Nature Proceedings excluding Computer Science
This collection consists of selected scientific results stemming from the conference "Methusalem Workshop on Classical Analysis and PDEs", held at the Ghent University from 27th February 2023 to 1st March 2023. The workshop was organized by the "Ghent Analysis & PDE Center". The presented materials mainly consist of scientific results on classical analysis and problems of PDEs. In particular, ... Læs mere

1.774,73 kr.

This collection consists of selected scientific results stemming from the conference "Methusalem Workshop on Classical Analysis and PDEs", held at the Ghent University from 27th February 2023 to 1st March 2023. The workshop was organized by the "Ghent Analysis & PDE Center". The presented materials mainly consist of scientific results on classical analysis and problems of PDEs. In particular,
... Læs mere
An Introduction to C*-Algebras and Noncommutative Geometry

af Heath Emerson ...

Serier serie Mathematics and Statistics (R0)
This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a clear and accessible account of the geometric picture of K-theory and its relation to the C*-algebraic picture. The text can be used as the basis for a graduate level or a capstone course with the goal being to bring a relative novice up to speed on ... Læs mere

497,51 kr.

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a clear and accessible account of the geometric picture of K-theory and its relation to the C*-algebraic picture. The text can be used as the basis for a graduate level or a capstone course with the goal being to bring a relative novice up to speed on
... Læs mere
Elementary Introduction to the Lebesgue Integral

af Steven G. Krantz ...

Serier serie Textbooks in Mathematics
Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tomorrow’s mathematicians. Since the early twentieth century, the Lebesgue integral has been a mainstay of mathematical analysis because of its important properties with respect to limits. For this reason, it is vital that mathematical ... Læs mere

785,57 kr.

Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tomorrow’s mathematicians. Since the early twentieth century, the Lebesgue integral has been a mainstay of mathematical analysis because of its important properties with respect to limits. For this reason, it is vital that mathematical
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Hysteresis Phenomena in Biology

af Hamid Reza Noori ...

Serier serie Mathematics and Statistics (R0)
The occurrence of hysteresis phenomena has been traditionally associated with mechanical and magnetic properties of materials. However, recent studies on the dynamics of biological processes suggest switch-like behavior that could be described by mathematical models of hysteresis. This book presents the milestones and perspectives of biological hysteresis and provides a comprehensive and ... Læs mere

466,97 kr.

The occurrence of hysteresis phenomena has been traditionally associated with mechanical and magnetic properties of materials. However, recent studies on the dynamics of biological processes suggest switch-like behavior that could be described by mathematical models of hysteresis. This book presents the milestones and perspectives of biological hysteresis and provides a comprehensive and
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Exercices de distributions

af Simone Malacrida ...

Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :distributions et supportsdistributions tempéréesopérations sur les distributionsDes 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 :distributions et supportsdistributions tempéréesopérations sur les distributionsDes premières indications théoriques sont également présentées pour rendre compréhensible le déroulement des exercices.
... Læs mere
Exercises of Functional Analysis

af 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. ... Læs mere

31,99 kr.

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.
... Læs mere
Abstract Cauchy Problems

Three Approaches

af Irina V. Melnikova, Alexei Filinkov ...

Serier serie Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularizat ... Læs mere

764,05 kr.

Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularizat
... Læs mere
Generalized Calculus with Applications to Matter and Forces

af Luis Manuel Braga de Costa Campos ...

Serier serie Mathematics and Physics for Science and Technology
Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to genera ... Læs mere

753,29 kr.

Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to genera
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Multiplicative Differential Equations

Volume II

af Svetlin Georgiev, Khaled Zennir ...

Multiplicative Differential Equations: Volume II is the second part of a comprehensive approach to the subject. It continues a series of books written by the authors on multiplicative, geometric approaches to key mathematical topics. This volume is devoted to the theory of multiplicative differential systems. The asymptotic behavior of the solutions of such systems is studied. Stability theory for ... Læs mere

634,90 kr.

Multiplicative Differential Equations: Volume II is the second part of a comprehensive approach to the subject. It continues a series of books written by the authors on multiplicative, geometric approaches to key mathematical topics. This volume is devoted to the theory of multiplicative differential systems. The asymptotic behavior of the solutions of such systems is studied. Stability theory for
... Læs mere
Variational Views in Mechanics

Redigeret af Paolo Maria Mariano ...

Serier serie Mathematics and Statistics (R0)
This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Optimization Theory and Applications (184(1), 2020) on “Calculus of Variations in Mechanics and Related Fields”. The variety of topics covered offers ... Læs mere

934,02 kr.

This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Optimization Theory and Applications (184(1), 2020) on “Calculus of Variations in Mechanics and Related Fields”. The variety of topics covered offers
... Læs mere
Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers

af Cédric Arhancet, Christoph Kriegler ...

Serier serie Mathematics and Statistics (R0)
This book on recent research in noncommutative harmonic analysis treats the Lp boundedness of Riesz transforms associated with Markovian semigroups of either Fourier multipliers on non-abelian groups or Schur multipliers. The detailed study of these objects is then continued with a proof of the boundedness of the holomorphic functional calculus for Hodge–Dirac operators, thereby answering a ... Læs mere

560,38 kr.

This book on recent research in noncommutative harmonic analysis treats the Lp boundedness of Riesz transforms associated with Markovian semigroups of either Fourier multipliers on non-abelian groups or Schur multipliers. The detailed study of these objects is then continued with a proof of the boundedness of the holomorphic functional calculus for Hodge–Dirac operators, thereby answering a
... Læs mere
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
... Læs mere
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
... Læs mere
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
... Læs mere
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
... Læs mere

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Funktionel analyse e-bøger

Analysis without Borders

Mathematical Foundations of Computational Electromagnetism

Multidimensional Periodic Schrödinger Operator

An Introduction to Special Functions

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

Spectral Theory of Block Multivalued Operator Matrices

Calculus Without Derivatives

Extended Abstracts MWCAPDE 2023

An Introduction to C*-Algebras and Noncommutative Geometry

Elementary Introduction to the Lebesgue Integral

Hysteresis Phenomena in Biology

Exercices de distributions

Exercises of Functional Analysis

Abstract Cauchy Problems

Generalized Calculus with Applications to Matter and Forces

Multiplicative Differential Equations

Variational Views in Mechanics

Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers

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