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Functional Analysis and Applied Optimization in Banach Spaces

Applications to Non-Convex Variational Models

by Fabio Botelho ...

This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems ... Read more

RM 500.39

This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems
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Theory of Approximate Functional Equations

In Banach Algebras, Inner Product Spaces and Amenable Groups

by Madjid Eshaghi Gordji, Sadegh Abbaszadeh ...

Presently no other book deals with the stability problem of functional equations in Banach algebras, inner product spaces and amenable groups. Moreover, in most stability theorems for functional equations, the completeness of the target space of the unknown functions contained in the equation is assumed. Recently, the question, whether the stability of a functional equation implies this ... Read more

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Presently no other book deals with the stability problem of functional equations in Banach algebras, inner product spaces and amenable groups. Moreover, in most stability theorems for functional equations, the completeness of the target space of the unknown functions contained in the equation is assumed. Recently, the question, whether the stability of a functional equation implies this
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Systems with Persistent Memory

Controllability, Stability, Identification

by Luciano Pandolfi ...

Series series Mathematics and Statistics (R0)
This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology.The book focuses on the properties and controllability of the archetypal ... Read more

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This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology.The book focuses on the properties and controllability of the archetypal
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Functional Equations in Applied Sciences

by Enrique Castillo, Andres Iglesias, Reyes Ruiz-Cobo ...

Series Book 199 - Mathematics in Science and Engineering
The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved.A general methodology for solving functional equations is provided in Chapter 2. The different types of functional equations are described and solved in Chapters 3 to 8. Many examples, coming from different fields, as geometry, science, ... Read more

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The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved.A general methodology for solving functional equations is provided in Chapter 2. The different types of functional equations are described and solved in Chapters 3 to 8. Many examples, coming from different fields, as geometry, science,
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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

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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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Recent Developments in Spectral and Approximation Theory

Proceedings of the International Conference on Spectral and Approximation Theory (ICSAT-2023)

Edited by Noufal Asharaf, Wolfram Bauer, B. V. Rajarama Bhat, Jaydeb Sarkar ...

Series series Springer Nature Proceedings excluding Computer Science
This book is a collection of recent developments in spectral and approximation theory. The results collected here were presented at the International Conference on Spectral and Approximation Theory (ICSAT-2023) which took place at Cochin University of Science and Technology in Kerala, India. The conference ICSAT-2023 focuses on two significant areas in mathematics: spectral theory and ... Read more

RM 913.29

This book is a collection of recent developments in spectral and approximation theory. The results collected here were presented at the International Conference on Spectral and Approximation Theory (ICSAT-2023) which took place at Cochin University of Science and Technology in Kerala, India. The conference ICSAT-2023 focuses on two significant areas in mathematics: spectral theory and
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Peripheral Spectra of Perturbed Positive Semigroups

Applications to Transport Theory and Related Fields

by Mustapha Mokhtar-Kharroubi ...

Series series Mathematics and Statistics (R0)
This monograph provides new functional analytic developments on spectral problems in various applied fields such as jump equations, Kolmogorov differential equations, weighted graphs, neutron transport theory, population dynamics, linearized non-local Allen–Cahn equations and perturbed convolution semigroups. With an emphasis on spectral problems (in Lebesgue spaces) connected to positivity, it ... Read more

RM 333.59

This monograph provides new functional analytic developments on spectral problems in various applied fields such as jump equations, Kolmogorov differential equations, weighted graphs, neutron transport theory, population dynamics, linearized non-local Allen–Cahn equations and perturbed convolution semigroups. With an emphasis on spectral problems (in Lebesgue spaces) connected to positivity, it
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Convex Analysis

by Steven G. Krantz ...

Series series Textbooks in Mathematics
Convexity is an ancient idea going back to Archimedes. Used sporadically in mathematical literature over the centuries, today it is a flourishing area of research. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.This text, popular in its first edition, introduces analytic tools for studying convexity and provides analytical ... Read more

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Convexity is an ancient idea going back to Archimedes. Used sporadically in mathematical literature over the centuries, today it is a flourishing area of research. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.This text, popular in its first edition, introduces analytic tools for studying convexity and provides analytical
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Dynamic Equations on Time Scales and Applications

Edited by Ravi P Agarwal, Bipan Hazarika, Sanket Tikare ...

This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc.Presents cutting-edge ... Read more

RM 310.15

This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc.Presents cutting-edge
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Fixed Point Results in W-Distance Spaces

by Vladimir Rakočević ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics. It would be especially valuable for graduate and postgraduate courses and seminars ... Read more

RM 934.50

Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics. It would be especially valuable for graduate and postgraduate courses and seminars
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Principles Of Applied Mathematics

Transformation And Approximation

by James P. Keener ...

This book is primarily about the principles that one uses to solve problems in applied mathematics. It is written for beginning graduate students in applied mathematics, science, and engineering, and is appropriate as a one-year course in applied mathematical techniques. ... Read more

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This book is primarily about the principles that one uses to solve problems in applied mathematics. It is written for beginning graduate students in applied mathematics, science, and engineering, and is appropriate as a one-year course in applied mathematical techniques.
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Neutrices and External Numbers

A Flexible Number System

by Bruno Dinis, Imme van den Berg ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of the nonstandard set of real numbers. Many illustrative examples are given. The book starts with ... Read more

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Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of the nonstandard set of real numbers. Many illustrative examples are given. The book starts with
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Control Of Nonlinear Distributed Parameter Systems

Edited by Goong Chen, Irena Lasiecka, Jianxin Zhou ...

An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a ... Read more

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An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a
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Theory of Stability of Continuous Elastic Structures

by Mario Como, Antonio Grimaldi ...

Series series Engineering Mathematics
Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures. The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers. ... Read more

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Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures. The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers.
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Strongly Irreducible Operators on Hilbert Space

by ChunLan Jiang ...

Series series Chapman & Hall/CRC Research Notes in Mathematics Series
This volume provides a comprehensive treatment of strongly irreducible operators acting on a complex separable infinite dimensional Hilbert space, and to expose and reflect the internal structure of operators by analyzing and studying irreducibility of operators. Much of the material presented here appears in book form for the first time. ... Read more

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This volume provides a comprehensive treatment of strongly irreducible operators acting on a complex separable infinite dimensional Hilbert space, and to expose and reflect the internal structure of operators by analyzing and studying irreducibility of operators. Much of the material presented here appears in book form for the first time.
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From Approximate Variation to Pointwise Selection Principles

by Vyacheslav V. Chistyakov ...

Series series Mathematics and Statistics (R0)
The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation. The new notion of approximate variation contains more information about the bounded variation functional and has the following features: the infimum in the definition of approximate variation is not attained in general and the total Jordan variation ... Read more

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The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation. The new notion of approximate variation contains more information about the bounded variation functional and has the following features: the infimum in the definition of approximate variation is not attained in general and the total Jordan variation
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Tomita's Lectures on Observable Algebras in Hilbert Space

by Atsushi Inoue ...

Series series Mathematics and Statistics (R0)
This book is devoted to the study of Tomita's observable algebras, their structure and applications.It begins by building the foundations of the theory of T*-algebras and CT*-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT*-algebra. It is then shown via the representation theory of locally convex*-algebras that this ... Read more

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This book is devoted to the study of Tomita's observable algebras, their structure and applications.It begins by building the foundations of the theory of T*-algebras and CT*-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT*-algebra. It is then shown via the representation theory of locally convex*-algebras that this
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Set Operads in Combinatorics and Computer Science

by Miguel A. Méndez ...

Series series Mathematics and Statistics (R0)
This monograph has two main objectives. The first one is to give a self-contained exposition of the relevant facts about set operads, in the context of combinatorial species and its operations. This approach has various advantages: one of them is that the definition of combinatorial operations on species, product, sum, substitution and derivative, are simple and natural. They were designed as the ... Read more

RM 208.49

This monograph has two main objectives. The first one is to give a self-contained exposition of the relevant facts about set operads, in the context of combinatorial species and its operations. This approach has various advantages: one of them is that the definition of combinatorial operations on species, product, sum, substitution and derivative, are simple and natural. They were designed as the
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Inverse Spectral and Scattering Theory

An Introduction

by Hiroshi Isozaki ...

Series series Mathematics and Statistics (R0)
The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science. These practical problems boil down to the mathematical question in which one tries to recover the operator (coefficients) or the domain (manifolds) from spectral data. The characteristic properties of the operators in question are often ... Read more

RM 291.89

The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science. These practical problems boil down to the mathematical question in which one tries to recover the operator (coefficients) or the domain (manifolds) from spectral data. The characteristic properties of the operators in question are often
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Trends in Applications of Mathematics to Mechanics

Edited by Elisabetta Rocca, Ulisse Stefanelli, Lev Truskinovsky, Augusto Visintin ...

Series series Mathematics and Statistics (R0)
This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held at the INDAM headquarters in Rome on 5–9 September 2016. It brings together original contributions at the interface of Mathematics and Mechanics. The focus is on mathematical models of phenomena issued from various applications. These include thermomechanics of solids and ... Read more

RM 458.69

This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held at the INDAM headquarters in Rome on 5–9 September 2016. It brings together original contributions at the interface of Mathematics and Mechanics. The focus is on mathematical models of phenomena issued from various applications. These include thermomechanics of solids and
... Read more
Fourier Analysis

Analytic and Geometric Aspects

Edited by William O. Bray ...

Series series Lecture Notes in Pure and Applied Mathematics
Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more. ... Read more

RM 1,749.78

Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more.
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The Theory of H(b) Spaces: Volume 2

by Emmanuel Fricain, Javad Mashreghi ...

Series Book 21 - New Mathematical Monographs
An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, ... Read more

RM 743.49

An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces,
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New Prospects in Direct, Inverse and Control Problems for Evolution Equations

Edited by Angelo Favini, Genni Fragnelli, Rosa Maria Mininni ...

Series series Mathematics and Statistics (R0)
This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have ... Read more

RM 208.49

This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have
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Paul Lévy and Maurice Fréchet

50 Years of Correspondence in 107 Letters

by Marc Barbut, Bernard Locker, Laurent Mazliak ...

Series series Mathematics and Statistics (R0)
The fascinating correspondence between Paul Lévy and Maurice Fréchet spans an extremely active period in French mathematics during the twentieth century. The letters of these two Frenchmen show their vicissitudes of research and passionate enthusiasm for the emerging field of modern probability theory. The letters cover various topics of mathematical importance including academic careers and ... Read more

RM 208.49

The fascinating correspondence between Paul Lévy and Maurice Fréchet spans an extremely active period in French mathematics during the twentieth century. The letters of these two Frenchmen show their vicissitudes of research and passionate enthusiasm for the emerging field of modern probability theory. The letters cover various topics of mathematical importance including academic careers and
... Read more

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Recommended For You

Functional Analysis eBooks

Functional Analysis and Applied Optimization in Banach Spaces

Theory of Approximate Functional Equations

Systems with Persistent Memory

Functional Equations in Applied Sciences

Inverse Problems and Applications

Recent Developments in Spectral and Approximation Theory

Peripheral Spectra of Perturbed Positive Semigroups

Convex Analysis

Dynamic Equations on Time Scales and Applications

Fixed Point Results in W-Distance Spaces

Principles Of Applied Mathematics

Neutrices and External Numbers

Control Of Nonlinear Distributed Parameter Systems

Theory of Stability of Continuous Elastic Structures

Strongly Irreducible Operators on Hilbert Space

From Approximate Variation to Pointwise Selection Principles

Tomita's Lectures on Observable Algebras in Hilbert Space

Set Operads in Combinatorics and Computer Science

Inverse Spectral and Scattering Theory

Trends in Applications of Mathematics to Mechanics

Fourier Analysis

The Theory of H(b) Spaces: Volume 2

New Prospects in Direct, Inverse and Control Problems for Evolution Equations

Paul Lévy and Maurice Fréchet