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Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators

av Vladimir A. Zolotarev ...

Serie serien Mathematics and Statistics (R0)
This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual ... Les mer

911,19 kr

This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual
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Approximation Theory, Sequence Spaces and Applications

Redigert av S. A. Mohiuddine, Bipan Hazarika, Hemant Kumar Nashine ...

Serie serien Mathematics and Statistics (R0)
This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and ... Les mer

1 316,29 kr

This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and
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Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations

av Grigorij Kulinich, Svitlana Kushnirenko, Yuliya Mishura ...

Serie serien Mathematics and Statistics (R0)
This book is devoted to unstable solutions of stochastic differential equations (SDEs). Despite the huge interest in the theory of SDEs, this book is the first to present a systematic study of the instability and asymptotic behavior of the corresponding unstable stochastic systems. The limit theorems contained in the book are not merely of purely mathematical value; rather, they also have ... Les mer

506,19 kr

This book is devoted to unstable solutions of stochastic differential equations (SDEs). Despite the huge interest in the theory of SDEs, this book is the first to present a systematic study of the instability and asymptotic behavior of the corresponding unstable stochastic systems. The limit theorems contained in the book are not merely of purely mathematical value; rather, they also have
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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

av Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou ...

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new ... Les mer

1 012,44 kr

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new
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Calculus of Variations

av Filip Rindler ...

Serie serien Mathematics and Statistics (R0)
This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange ... Les mer

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This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange
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Fractional Integrals, Potentials, and Radon Transforms

av Boris Rubin ...

Serie serien Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Fractional Integrals, Potentials, and Radon Transforms, Second Edition presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. In this thoroughly revised new edition, the book aims to explore how fractional integrals occur in the study of diverse Radon type ... Les mer

2 509,19 kr

Fractional Integrals, Potentials, and Radon Transforms, Second Edition presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. In this thoroughly revised new edition, the book aims to explore how fractional integrals occur in the study of diverse Radon type
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Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

Ronald G. Douglas Memorial Volume

Redigert av Raul E Curto, William Helton, Huaxin Lin, Xiang Tang, Rongwei Yang, Guoliang Yu ...

Serie serien Springer Nature Proceedings excluding Computer Science
This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current ... Les mer

1 417,49 kr

This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current
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Topology of Infinite-Dimensional Manifolds

av Katsuro Sakai ...

Serie serien Mathematics and Statistics (R0)
An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space. In this book, the following spaces are considered model spaces: Hilbert space (or non-separable Hilbert spaces), the Hilbert cube, dense subspaces of Hilbert spaces being universal spaces for absolute Borel spaces, the direct limit of Euclidean spaces, and the ... Les mer

1 417,49 kr

An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space. In this book, the following spaces are considered model spaces: Hilbert space (or non-separable Hilbert spaces), the Hilbert cube, dense subspaces of Hilbert spaces being universal spaces for absolute Borel spaces, the direct limit of Euclidean spaces, and the
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Algebraic Topology and Related Topics

Redigert av Mahender Singh, Yongjin Song, Jie Wu ...

Serie serien Springer Nature Proceedings excluding Computer Science
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the ... Les mer

1 518,79 kr

This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the
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Mathematical Theory of Hemivariational Inequalities and Applications

av Zdzistaw Naniewicz, P. D. Panagiotopoulos ...

Serie serien Chapman & Hall/CRC Pure and Applied Mathematics
Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established. ... Les mer

482,81 kr

Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established.
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Gaussian Integrals and their Applications

av Oscar A. Nieves ...

Gaussian Integrals form an integral part of many subfields of applied mathematics and physics, especially in topics such as probability theory, statistics, statistical mechanics, quantum mechanics and so on. They are essential in computing quantities such as the statistical properties of normal random variables, solving partial differential equations involving diffusion processes, and gaining ... Les mer

302,90 kr

Gaussian Integrals form an integral part of many subfields of applied mathematics and physics, especially in topics such as probability theory, statistics, statistical mechanics, quantum mechanics and so on. They are essential in computing quantities such as the statistical properties of normal random variables, solving partial differential equations involving diffusion processes, and gaining
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Advances in Mathematical Inequalities and Applications

Redigert av Praveen Agarwal, Silvestru Sever Dragomir, Mohamed Jleli, Bessem Samet ...

Serie serien 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; ... Les mer

1 113,79 kr

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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Analytic Methods in Number Theory

When Complex Numbers Count

av Wadim Zudilin ...

Serie Bok 11 - Monographs in Number Theory
There is no surprise that arithmetic properties of integral ('whole') numbers are controlled by analytic functions of complex variable. At the same time, the values of analytic functions themselves happen to be interesting numbers, for which we often seek explicit expressions in terms of other 'better known' numbers or try to prove that no such exist. This natural symbiosis of number theory and ... Les mer

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There is no surprise that arithmetic properties of integral ('whole') numbers are controlled by analytic functions of complex variable. At the same time, the values of analytic functions themselves happen to be interesting numbers, for which we often seek explicit expressions in terms of other 'better known' numbers or try to prove that no such exist. This natural symbiosis of number theory and
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Functional Analysis

An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras

av Joseph Muscat ...

Serie serien Mathematics and Statistics (R0)
This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields.Functional Analysis adopts a self-contained ... Les mer

658,09 kr

This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields.Functional Analysis adopts a self-contained
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Geometric Aspects of Functional Analysis

Israel Seminar 2006–2010

Redigert av Bo'az Klartag, Shahar Mendelson, Vitali D. Milman ...

Serie serien Mathematics and Statistics (R0)
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the ... Les mer

435,29 kr

This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the
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On Extended Hardy-Hilbert Integral Inequalities and Applications

av Bicheng Yang, Michael Th Rassias ...

Hilbert-type inequalities, including Hilbert's inequalities proved in 1908, Hardy-Hilbert-type inequalities proved in 1934, and Yang-Hilbert-type inequalities first proved around 1998, play an important role in analysis and its applications. These inequalities are mainly divided in three classes: integral, discrete and half-discrete. During the last twenty years, there have been many research ... Les mer

528,39 kr

Hilbert-type inequalities, including Hilbert's inequalities proved in 1908, Hardy-Hilbert-type inequalities proved in 1934, and Yang-Hilbert-type inequalities first proved around 1998, play an important role in analysis and its applications. These inequalities are mainly divided in three classes: integral, discrete and half-discrete. During the last twenty years, there have been many research
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Function Spaces and Operators between them

av José Bonet, David Jornet, Pablo Sevilla-Peris ...

Serie serien Mathematics and Statistics (R0)
The aim of this work is to present, in a unified and reasonably self-contained way, certain aspects of functional analysis which are needed to treat function spaces whose topology is not derived from a single norm, their topological duals and operators between those spaces. We treat spaces of continuous, analytic and smooth functions as well as sequence spaces. Operators of differentiation, ... Les mer

1 417,49 kr

The aim of this work is to present, in a unified and reasonably self-contained way, certain aspects of functional analysis which are needed to treat function spaces whose topology is not derived from a single norm, their topological duals and operators between those spaces. We treat spaces of continuous, analytic and smooth functions as well as sequence spaces. Operators of differentiation,
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Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality II

Applications

av Atsushi Yagi ...

Serie serien Mathematics and Statistics (R0)
This second volume continues the study on asymptotic convergence of global solutions of parabolic equations to stationary solutions by utilizing the theory of abstract parabolic evolution equations and the Łojasiewicz–Simon gradient inequality. In the first volume of the same title, after setting the abstract frameworks of arguments, a general convergence theorem was proved under the four ... Les mer

658,09 kr

This second volume continues the study on asymptotic convergence of global solutions of parabolic equations to stationary solutions by utilizing the theory of abstract parabolic evolution equations and the Łojasiewicz–Simon gradient inequality. In the first volume of the same title, after setting the abstract frameworks of arguments, a general convergence theorem was proved under the four
... Les mer
Singular Perturbations and Boundary Layers

av Gung-Min Gie, Makram Hamouda, Chang-Yeol Jung, Roger M. Temam ...

Serie serien Mathematics and Statistics (R0)
Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the ... Les mer

1 417,49 kr

Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the
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Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control

av N. U. Ahmed, Shian Wang ...

Serie serien Mathematics and Statistics (R0)
This book offers the first comprehensive presentation of measure-valued solutions for nonlinear deterministic and stochastic evolution equations on infinite dimensional Banach spaces. Unlike traditional solutions, measure-valued solutions allow for a much broader class of abstract evolution equations to be addressed, providing a broader approach.The book presents extensive results on the existence ... Les mer

1 316,29 kr

This book offers the first comprehensive presentation of measure-valued solutions for nonlinear deterministic and stochastic evolution equations on infinite dimensional Banach spaces. Unlike traditional solutions, measure-valued solutions allow for a much broader class of abstract evolution equations to be addressed, providing a broader approach.The book presents extensive results on the existence
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Measure, Integration and a Primer on Probability Theory

Volume 1

av Stefano Gentili ...

Oversatt av Simon G. Chiossi ...

Serie serien Mathematics and Statistics (R0)
The text contains detailed and complete proofs and includes instructive historical introductions to key chapters. These serve to illustrate the hurdles faced by the scholars that developed the theory, and allow the novice to approach the subject from a wider angle, thus appreciating the human side of major figures in Mathematics. The style in which topics are addressed, albeit informal, always ... Les mer

556,89 kr

The text contains detailed and complete proofs and includes instructive historical introductions to key chapters. These serve to illustrate the hurdles faced by the scholars that developed the theory, and allow the novice to approach the subject from a wider angle, thus appreciating the human side of major figures in Mathematics. The style in which topics are addressed, albeit informal, always
... Les mer
Constructive Analysis of Semicircular Elements

From Orthogonal Projections to Semicircular Elements

av Ilwoo Cho ...

Serie serien Chapman & Hall/CRC Monographs and Research Notes in Mathematics
This book not only examines the constructions and free-probabilistic properties of semicircular elements, as defined within the text, but also considers certain Banach-space operators acting on these semicircular elements and shows how they deform (i.e., preserve-or-distort) the semicircular law induced by orthogonal projections.FEATURESSuitable for graduate students and professional researchers ... Les mer

2 130,45 kr

This book not only examines the constructions and free-probabilistic properties of semicircular elements, as defined within the text, but also considers certain Banach-space operators acting on these semicircular elements and shows how they deform (i.e., preserve-or-distort) the semicircular law induced by orthogonal projections.FEATURESSuitable for graduate students and professional researchers
... Les mer
From Classical Analysis to Analysis on Fractals

A Tribute to Robert Strichartz, Volume 1

Redigert av Patricia Alonso Ruiz, Michael Hinz, Kasso A. Okoudjou, Luke G. Rogers, Alexander Teplyaev ...

Serie serien Mathematics and Statistics (R0)
Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his ... Les mer

1 316,29 kr

Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his
... Les mer
Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II

General Boundary Conditions on Riemannian Manifolds

av Jérôme Le Rousseau, Gilles Lebeau, Luc Robbiano ...

Serie serien Mathematics and Statistics (R0)
This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet ... Les mer

1 619,99 kr

This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet
... Les mer

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Funksjonalanalyse e-bøker

Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators

Approximation Theory, Sequence Spaces and Applications

Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations

Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

Calculus of Variations

Fractional Integrals, Potentials, and Radon Transforms

Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

Topology of Infinite-Dimensional Manifolds

Algebraic Topology and Related Topics

Mathematical Theory of Hemivariational Inequalities and Applications

Gaussian Integrals and their Applications

Advances in Mathematical Inequalities and Applications

Analytic Methods in Number Theory

Functional Analysis

Geometric Aspects of Functional Analysis

On Extended Hardy-Hilbert Integral Inequalities and Applications

Function Spaces and Operators between them

Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality II

Singular Perturbations and Boundary Layers

Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control

Measure, Integration and a Primer on Probability Theory

Constructive Analysis of Semicircular Elements

From Classical Analysis to Analysis on Fractals

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II