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Analytic Number Theory, Approximation Theory, and Special Functions

In Honor of Hari M. Srivastava

Edición de Gradimir V. Milovanović, Michael Th. Rassias ...

Series series Mathematics and Statistics (R0)
This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic ... Leer más

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This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic
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Lectures on Analytic Function Spaces and their Applications

Edición de Javad Mashreghi ...

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

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

de Kazuaki Taira ...

Series series Mathematics and Statistics (R0)
This book is an easy-to-read reference providing a link between functional analysis and diffusion processes. More precisely, the book takes readers to a mathematical crossroads of functional analysis (macroscopic approach), partial differential equations (mesoscopic approach), and probability (microscopic approach) via the mathematics needed for the hard parts of diffusion processes. This work ... Leer más

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This book is an easy-to-read reference providing a link between functional analysis and diffusion processes. More precisely, the book takes readers to a mathematical crossroads of functional analysis (macroscopic approach), partial differential equations (mesoscopic approach), and probability (microscopic approach) via the mathematics needed for the hard parts of diffusion processes. This work
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Unbounded Self-adjoint Operators on Hilbert Space

de Konrad Schmüdgen ...

Series series Mathematics and Statistics (R0)
The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied ... Leer más

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The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied
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Fredholm and Local Spectral Theory II

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de Pietro Aiena ...

Series series Mathematics and Statistics (R0)
This monograph concerns the relationship between the local spectral theory and Fredholm theory of bounded linear operators acting on Banach spaces. The purpose of this book is to provide a first general treatment of the theory of operators for which Weyl-type or Browder-type theorems hold.The product of intensive research carried out over the last ten years, this book explores for the first time ... Leer más

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This monograph concerns the relationship between the local spectral theory and Fredholm theory of bounded linear operators acting on Banach spaces. The purpose of this book is to provide a first general treatment of the theory of operators for which Weyl-type or Browder-type theorems hold.The product of intensive research carried out over the last ten years, this book explores for the first time
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Continuity Theory

de Louis Nel ...

This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and linear algebra are developed in detail, so as to provide a seamless transition between students' previous ... Leer más

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This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and linear algebra are developed in detail, so as to provide a seamless transition between students' previous
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Self-Similar Energies on Finitely Ramified Fractals

de Roberto Peirone ...

Series Libro 9 - Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications
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This monograph delves into the theory of self-similar energies on finitely ramified self-similar fractals. Using these self-similar energies, one can construct Laplacians, harmonic functions, Brownian motion, and differential equations specific to these fractals.On finitely ramified fractals, self-similar energies are derived from eigenforms — quadratic forms that are eigenvectors of a special
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Fourier Series and Orthogonal Polynomials

de Dunham Jackson ...

Series series Dover Books on Mathematics
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This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Starting with a definition and explanation of the elements of Fourier series, the text follows with examinations of Legendre polynomials and Bessel functions. Boundary value problems consider Fourier series in conjunction with
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Attacking Problems in Logarithms and Exponential Functions

de David S. Kahn ...

Series series Dover Books on Mathematics
This original volume offers a concise, highly focused review of what high school and beginning college students need to know in order to solve problems in logarithms and exponential functions. Numerous rigorously tested examples and coherent to-the-point explanations, presented in an easy-to-follow format, provide valuable tools for conquering this challenging subject.The treatment is organized in ... Leer más

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This original volume offers a concise, highly focused review of what high school and beginning college students need to know in order to solve problems in logarithms and exponential functions. Numerous rigorously tested examples and coherent to-the-point explanations, presented in an easy-to-follow format, provide valuable tools for conquering this challenging subject.The treatment is organized in
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Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations

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

Series series 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 ... Leer más

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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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Zero Product Determined Algebras

de Matej Brešar ...

Series series Mathematics and Statistics (R0)
This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years. It is divided into three parts. The first part presents the purely algebraic branch of the theory, the second part presents the functional analytic branch, and the third part discusses various applications.The book is intended for researchers and graduate students ... Leer más

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Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

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Edición de Daniel Alpay, Bernd Fritzsche, Bernd Kirstein ...

Series series Mathematics and Statistics (R0)
This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing ... Leer más

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This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing
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Open Problems in the Geometry and Analysis of Banach Spaces

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This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and ... Leer más

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This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and
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Birkhoff–James Orthogonality and Geometry of Operator Spaces

de Arpita Mal, Kallol Paul, Debmalya Sain ...

Series series Mathematics and Statistics (R0)
This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff–James orthogonality. It studies the norm attainment set of an operator and its properties, the notion of which plays a very important role in the characterization of B-J orthogonality of operators. The structure of the norm attainment set is studied for Hilbert space ... Leer más

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This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff–James orthogonality. It studies the norm attainment set of an operator and its properties, the notion of which plays a very important role in the characterization of B-J orthogonality of operators. The structure of the norm attainment set is studied for Hilbert space
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Mathematics for Engineers

de Francesc Pozo Montero, Núria Parés Mariné, Yolanda Vidal Seguí ...

Mathematics for Engineers offers a comprehensive treatment of the core mathematical topics required for a modern engineering degree. The book begins with an introduction to the basics of mathematical reasoning and builds up the level of complexity as it progresses. The approach of the book is to build understanding through engagement, with numerous exercises and illuminating examples throughout ... Leer más

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Semigroups of Operators -Theory and Applications

Będlewo, Poland, October 2013

Edición de Jacek Banasiak, Adam Bobrowski, Mirosław Lachowicz ...

Series series Springer Nature Proceedings excluding Computer Science
Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The ... Leer más

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Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The
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Smooth Homogeneous Structures in Operator Theory

de Daniel Beltita ...

Series series Monographs and Surveys in Pure and Applied Mathematics
Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research. Requiring only a moderate familiarity with funct ... Leer más

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Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research. Requiring only a moderate familiarity with funct
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Mathematical Theory of Hemivariational Inequalities and Applications

de Zdzistaw Naniewicz, P. D. Panagiotopoulos ...

Series series 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. ... Leer más

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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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Operator Inequalities of the Jensen, Čebyšev and Grüss Type

de Silvestru Sever Dragomir ...

Series series Mathematics and Statistics (R0)
The main aim of this bookis to present recent results concerning inequalities of the Jensen, Čebyšev and Grüss type for continuous functions of bounded selfadjoint operators on complex Hilbert spaces.In the introductory chapter, the author portrays fundamental facts concerning bounded selfadjoint operators on complex Hilbert spaces. The generalized Schwarz’s inequality for positive selfadjoint ... Leer más

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The main aim of this bookis to present recent results concerning inequalities of the Jensen, Čebyšev and Grüss type for continuous functions of bounded selfadjoint operators on complex Hilbert spaces.In the introductory chapter, the author portrays fundamental facts concerning bounded selfadjoint operators on complex Hilbert spaces. The generalized Schwarz’s inequality for positive selfadjoint
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Functional Analysis, Holomorphy, and Approximation Theory

de Guido I. Zapata ...

Series series Lecture Notes in Pure and Applied Mathematics
This book contains papers on complex analysis, function spaces, harmonic analysis, and operators, presented at the International seminar on Functional Analysis, Holomorphy, and Approximation Theory held in 1979. It is addressed to mathematicians and advanced graduate students in mathematics. ... Leer más

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This book contains papers on complex analysis, function spaces, harmonic analysis, and operators, presented at the International seminar on Functional Analysis, Holomorphy, and Approximation Theory held in 1979. It is addressed to mathematicians and advanced graduate students in mathematics.
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Generalized Wavelets and Hypergroups

de Khalifa Trimeche ...

Wavelets have recently been enjoying a period of popularity and rapid growth, and the influence of wavelet methods now extends well beyond mathematics into a number of practical fields, including statistics. The theory of hypergroups can be traced back to the turn of the century, and following its formalization in the early 1970s, the area has now ... Leer más

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Wavelets have recently been enjoying a period of popularity and rapid growth, and the influence of wavelet methods now extends well beyond mathematics into a number of practical fields, including statistics. The theory of hypergroups can be traced back to the turn of the century, and following its formalization in the early 1970s, the area has now
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Extension Theory of Symmetric Operators and Boundary Value Problems

de Volodymyr Derkach, Mark Malamud ...

Series series Mathematics and Statistics (R0)
This book presents the results obtained by the authors over the last four decades in the extension theory of symmetric operators in Hilbert spaces.First, some classic results are highlighted, influenced primarily by Krein, Vishik and Birman. Then, the method of boundary triples is discussed, demonstrating the universal character of the Weyl function which arises naturally both in problems of ... Leer más

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This book presents the results obtained by the authors over the last four decades in the extension theory of symmetric operators in Hilbert spaces.First, some classic results are highlighted, influenced primarily by Krein, Vishik and Birman. Then, the method of boundary triples is discussed, demonstrating the universal character of the Weyl function which arises naturally both in problems of
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P-Adic Functional Analysis

Edición de A.K. Katsaras, W.H. Schikhof, L. Van Hamme ...

This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. It discusses the commutation relation AB-BA=I and its central role in quantum mechanics. ... Leer más

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This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. It discusses the commutation relation AB-BA=I and its central role in quantum mechanics.
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Partial Differential Equations

Edición de Abdelmoujib Benkirane, A. Touzani ...

Series series Lecture Notes in Pure and Applied Mathematics
This impressive compilation of the material presented at the International Conference on Partial Differential Equations held in Fez, Morocco, represents an integrated discussion of all major topics in the area of partial differential equations--highlighting recent progress and new trends for real-world applications. ... Leer más

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This impressive compilation of the material presented at the International Conference on Partial Differential Equations held in Fez, Morocco, represents an integrated discussion of all major topics in the area of partial differential equations--highlighting recent progress and new trends for real-world applications.
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eBooks de Análisis funcional

Analytic Number Theory, Approximation Theory, and Special Functions

Lectures on Analytic Function Spaces and their Applications

Functional Analytic Techniques for Diffusion Processes

Unbounded Self-adjoint Operators on Hilbert Space

Fredholm and Local Spectral Theory II

Continuity Theory

Self-Similar Energies on Finitely Ramified Fractals

Fourier Series and Orthogonal Polynomials

Attacking Problems in Logarithms and Exponential Functions

Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations

Zero Product Determined Algebras

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

Open Problems in the Geometry and Analysis of Banach Spaces

Birkhoff–James Orthogonality and Geometry of Operator Spaces

Mathematics for Engineers

Semigroups of Operators -Theory and Applications

Smooth Homogeneous Structures in Operator Theory

Mathematical Theory of Hemivariational Inequalities and Applications

Operator Inequalities of the Jensen, Čebyšev and Grüss Type

Functional Analysis, Holomorphy, and Approximation Theory

Generalized Wavelets and Hypergroups

Extension Theory of Symmetric Operators and Boundary Value Problems

P-Adic Functional Analysis

Partial Differential Equations