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Positivity and its Applications

Positivity X, 8-12 July 2019, Pretoria, South Africa

Edición de Eder Kikianty, Mokhwetha Mabula, Miek Messerschmidt, Jan Harm van der Walt, Marten Wortel ...

Series series Springer Nature Proceedings excluding Computer Science
This proceedings volume features selected contributions from the conference Positivity X. The field of positivity deals with ordered mathematical structures and their applications. At the biannual series of Positivity conferences, the latest developments in this diverse field are presented. The 2019 edition was no different, with lectures covering a broad spectrum of topics, including vector and ... Leer más

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This proceedings volume features selected contributions from the conference Positivity X. The field of positivity deals with ordered mathematical structures and their applications. At the biannual series of Positivity conferences, the latest developments in this diverse field are presented. The 2019 edition was no different, with lectures covering a broad spectrum of topics, including vector and
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Analytic Inequalities

de Nicholas D. Kazarinoff ...

Series series Dover Books on Mathematics
Mathematical analysis is largely a systematic study and exploration of inequalities — but for students the study of inequalities often remains a foreign country, difficult of access. This book is a passport to that country, offering a background on inequalities that will prepare undergraduates (and even high school students) to cope with the concepts of continuity, derivative, and integral ... Leer más

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Mathematical analysis is largely a systematic study and exploration of inequalities — but for students the study of inequalities often remains a foreign country, difficult of access. This book is a passport to that country, offering a background on inequalities that will prepare undergraduates (and even high school students) to cope with the concepts of continuity, derivative, and integral
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A First Course in Functional Analysis

de Prof. Martin Davis ...

Series series Dover Books on Mathematics
This introduction to functional analysis is based on the lecture notes of Martin Davis, a distinguished professor of mathematics. The treatment demonstrates the essential unity of mathematics without assuming more background than can be expected of advanced undergraduates and graduate students majoring in mathematics.A self-contained exposition of Gelfand's proof of Wiener's theorem, this volume ... Leer más

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This introduction to functional analysis is based on the lecture notes of Martin Davis, a distinguished professor of mathematics. The treatment demonstrates the essential unity of mathematics without assuming more background than can be expected of advanced undergraduates and graduate students majoring in mathematics.A self-contained exposition of Gelfand's proof of Wiener's theorem, this volume
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Elementary Functional Analysis

de Georgi E. Shilov ...

Series series Dover Books on Mathematics
In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis: linear spaces, metric spaces, normed linear spaces, Hilbert spaces, and normed algebras. The standard models for all these spaces are sets of functions (hence the term "functional analysis"), rather than sets ... Leer más

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In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis: linear spaces, metric spaces, normed linear spaces, Hilbert spaces, and normed algebras. The standard models for all these spaces are sets of functions (hence the term "functional analysis"), rather than sets
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Functional Analysis

de George Bachman, Lawrence Narici ...

Series series Dover Books on Mathematics
Excellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed and metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach theorem and its consequences, spectral notions, square roots, a spectral decomposition theorem, and many other related ... Leer más

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Excellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed and metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach theorem and its consequences, spectral notions, square roots, a spectral decomposition theorem, and many other related
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Introduction to Bessel Functions

de Frank Bowman ...

Series series Dover Books on Mathematics
Physicists, mathematics students, designers of vibrating systems, mechanical, electrical, and civil engineers, aero- and hydro-dynamicists, and teachers of mathematics, physics, and engineering will find this book a full, clear introduction to the properties and applications of Bessel functions. Practically all of the advanced mathematics needed is developed in the text. Students who have had some ... Leer más

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Physicists, mathematics students, designers of vibrating systems, mechanical, electrical, and civil engineers, aero- and hydro-dynamicists, and teachers of mathematics, physics, and engineering will find this book a full, clear introduction to the properties and applications of Bessel functions. Practically all of the advanced mathematics needed is developed in the text. Students who have had some
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Applied Complex Variables

de John W. Dettman ...

Series series Dover Books on Mathematics
Analytic function theory is a traditional subject going back to Cauchy and Riemann in the 19th century. Once the exclusive province of advanced mathematics students, its applications have proven vital to today's physicists and engineers. In this highly regarded work, Professor John W. Dettman offers a clear, well-organized overview of the subject and various applications — making the often ... Leer más

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Analytic function theory is a traditional subject going back to Cauchy and Riemann in the 19th century. Once the exclusive province of advanced mathematics students, its applications have proven vital to today's physicists and engineers. In this highly regarded work, Professor John W. Dettman offers a clear, well-organized overview of the subject and various applications — making the often
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Theory of Approximation

de N. I. Achieser ...

Series series Dover Books on Mathematics
A pioneer of many modern developments in approximation theory, N. I. Achieser designed this graduate-level text from the standpoint of functional analysis. The first two chapters address approximation problems in linear normalized spaces and the ideas of P. L. Tchebysheff. Chapter III examines the elements of harmonic analysis, and Chapter IV, integral transcendental functions of the exponential ... Leer más

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A pioneer of many modern developments in approximation theory, N. I. Achieser designed this graduate-level text from the standpoint of functional analysis. The first two chapters address approximation problems in linear normalized spaces and the ideas of P. L. Tchebysheff. Chapter III examines the elements of harmonic analysis, and Chapter IV, integral transcendental functions of the exponential
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Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

A Volume in Honor of V.E. Katsnelson

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

de Antonio J. Guirao, Vicente Montesinos, Václav Zizler ...

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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A Concise Introduction to Analysis

de Daniel W. Stroock ...

Series series Mathematics and Statistics (R0)
This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and ... Leer más

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This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and
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Variational Approach to Hyperbolic Free Boundary Problems

de Seiro Omata, Karel Svadlenka, Elliott Ginder ...

Series series Mathematics and Statistics (R0)
This volume is devoted to the study of hyperbolic free boundary problems possessing variational structure. Such problems can be used to model, among others, oscillatory motion of a droplet on a surface or bouncing of an elastic body against a rigid obstacle. In the case of the droplet, for example, the membrane surrounding the fluid in general forms a positive contact angle with the obstacle, and ... Leer más

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This volume is devoted to the study of hyperbolic free boundary problems possessing variational structure. Such problems can be used to model, among others, oscillatory motion of a droplet on a surface or bouncing of an elastic body against a rigid obstacle. In the case of the droplet, for example, the membrane surrounding the fluid in general forms a positive contact angle with the obstacle, and
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Descriptive Topology and Functional Analysis

In Honour of Jerzy Kakol’s 60th Birthday

Edición de Manuel López-Pellicer, Juan Carlos Ferrando ...

Series series Springer Nature Proceedings excluding Computer Science
Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work. Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient problem are included and are presented as open problems. The second section is devoted to Banach ... Leer más

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Nonlinear Second Order Elliptic Equations

de Mingxin Wang, Peter Y. H. Pang ...

Series series Mathematics and Statistics (R0)
This book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems: (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existence of solutions, more specifically non-constant positive solutions, as well as the uniqueness, stability and ... Leer más

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This book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems: (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existence of solutions, more specifically non-constant positive solutions, as well as the uniqueness, stability and
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Smooth-Automorphic Forms and Smooth-Automorphic Representations

de Harald Grobner ...

Series Libro 17 - Series on Number Theory and Its Applications
This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider 'K-finite' automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth ... Leer más

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This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider 'K-finite' automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth
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Function Spaces and Inequalities

New Delhi, India, December 2015

Edición de Pankaj Jain, Hans-Jürgen Schmeisser ...

Series series Springer Nature Proceedings excluding Computer Science
This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness ... Leer más

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This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness
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Born-Jordan Quantization

Theory and Applications

de Maurice A. de Gosson ...

Series series Physics and Astronomy (R0)
This book presents a comprehensive mathematical study of the operators behind the Born–Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born–Jordan scheme is used. Thus, Born–Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book ... Leer más

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This book presents a comprehensive mathematical study of the operators behind the Born–Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born–Jordan scheme is used. Thus, Born–Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book
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Matrix and Operator Equations and Applications

Edición de Mohammad Sal Moslehian ...

Series series Mathematics and Statistics (R0)
This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and solve them in a faithful way. The main aim of this contributed book is to study several important matrix and operator equalities and equations in a systematic and self-contained fashion. Some powerful methods have been used to investigate some significant ... Leer más

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This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and solve them in a faithful way. The main aim of this contributed book is to study several important matrix and operator equalities and equations in a systematic and self-contained fashion. Some powerful methods have been used to investigate some significant
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Operator Theory and Differential Equations

Edición de Anatoly G. Kusraev, Zhanna D. Totieva ...

Series series Springer Nature Proceedings excluding Computer Science
This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various ... Leer más

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This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various
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Applied Stochastic Control of Jump Diffusions

de Bernt Øksendal, Agnès Sulem ...

Series series Mathematics and Statistics (R0)
The main purpose of the book is to give a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and their applications. Both the dynamic programming method and the stochastic maximum principle method are discussed, as well as the relation between them. Corresponding verification theorems involving the Hamilton ... Leer más

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The main purpose of the book is to give a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and their applications. Both the dynamic programming method and the stochastic maximum principle method are discussed, as well as the relation between them. Corresponding verification theorems involving the Hamilton
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de George A Anastassiou ...

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

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This research monograph presents a groundbreaking unification of neural network approximation theory through the lens of Positive Linear Operators (PLOs). For the first time in the literature, neural network operators and activated convolution operators are rigorously analyzed as PLOs — providing a comprehensive, quantitative framework based on inequalities and the modulus of continuity.The author
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Lectures In Nonlinear Functional Analysis: Synopsis Of Lectures Given At The Faculty Of Physics Of Lomonosov Moscow State University

de Maxim Olegovich Korpusov, Alexey Vitalyevich Ovchinnikov, Alexander Anatolyevich Panin ...

This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations. It begins from a brief introduction to linear functional analysis, including various types of convergence and functional spaces. The main part of the book is devoted to the theory of nonlinear operators. Various methods of ... Leer más

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This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations. It begins from a brief introduction to linear functional analysis, including various types of convergence and functional spaces. The main part of the book is devoted to the theory of nonlinear operators. Various methods of
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Fractional Differential Equations

New Advancements for Generalized Fractional Derivatives

de Mouffak Benchohra, Erdal Karapınar, Jamal Eddine Lazreg, Abdelkrim Salim ...

Series series eBColl Synthesis Collection 12
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area ... Leer más

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This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area
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The AI Play Book - Demystifying AI and Machine Learning

de V Dore ...

Throughout this book, you will encounter a series of narratives designed to illustratefundamental concepts in AI and ML. From the basics of linear regression and neural networksto the complexities of natural language processing and recommendation systems, eachchapter has been carefully crafted to explain these topics in the simplest terms. Characterssuch as Kia, an inquisitive student, and ... Leer más

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Throughout this book, you will encounter a series of narratives designed to illustratefundamental concepts in AI and ML. From the basics of linear regression and neural networksto the complexities of natural language processing and recommendation systems, eachchapter has been carefully crafted to explain these topics in the simplest terms. Characterssuch as Kia, an inquisitive student, and
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Elementary Functional Analysis

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Applied Complex Variables

Theory of Approximation

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

Open Problems in the Geometry and Analysis of Banach Spaces

A Concise Introduction to Analysis

Variational Approach to Hyperbolic Free Boundary Problems

Descriptive Topology and Functional Analysis

Nonlinear Second Order Elliptic Equations

Smooth-Automorphic Forms and Smooth-Automorphic Representations

Function Spaces and Inequalities

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Matrix and Operator Equations and Applications

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Neural Networks as Positive Linear Operators

Lectures In Nonlinear Functional Analysis: Synopsis Of Lectures Given At The Faculty Of Physics Of Lomonosov Moscow State University

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