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Infinite Dimensional Analysis, Quantum Probability and Applications

QP41 Conference, Al Ain, UAE, March 28–April 1, 2021

Edited by Luigi Accardi, Farrukh Mukhamedov, Ahmed Al Rawashdeh ...

Series series Springer Nature Proceedings excluding Computer Science
This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021. The works cover recent developments in quantum probability and infinite ... Read more

RM 586.99

This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021. The works cover recent developments in quantum probability and infinite
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Foundations of Quantitative Finance: Book III. The Integrals of Riemann, Lebesgue and (Riemann-)Stieltjes

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Series Book 3 - Chapman and Hall/CRC Financial Mathematics Series
Every financial professional wants and needs an advantage. A firm foundation in advanced mathematics can translate into dramatic advantages to professionals willing to obtain it. Many are not—and that is the advantage these books offer the astute reader.Published under the collective title of Foundations of Quantitative Finance, this set of ten books presents the advanced mathematics finance ... Read more

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Every financial professional wants and needs an advantage. A firm foundation in advanced mathematics can translate into dramatic advantages to professionals willing to obtain it. Many are not—and that is the advantage these books offer the astute reader.Published under the collective title of Foundations of Quantitative Finance, this set of ten books presents the advanced mathematics finance
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Index Theory Beyond the Fredholm Case

by Alan Carey, Galina Levitina ...

Series series Mathematics and Statistics (R0)
This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in ... Read more

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This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in
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State Space Consistency and Differentiability

by Demetrios Serakos ...

Series series Mathematics and Statistics (R0)
By investigating the properties of the natural state, this book presents an analysis of input-output systems with regard to the mathematical concept of state. The state of a system condenses the effects of past inputs to the system in a useful manner. This monograph emphasizes two main properties of the natural state; the first has to do with the possibility of determining the input-output system ... Read more

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By investigating the properties of the natural state, this book presents an analysis of input-output systems with regard to the mathematical concept of state. The state of a system condenses the effects of past inputs to the system in a useful manner. This monograph emphasizes two main properties of the natural state; the first has to do with the possibility of determining the input-output system
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Regular Functions of a Quaternionic Variable

by Graziano Gentili, Caterina Stoppato, Daniele C. Struppa ...

Series series Mathematics and Statistics (R0)
This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.As in the case of other interesting quaternionic function theories, the original motivations were the richness of the theory of holomorphic functions of one complex variable and the fact that quaternions form the only ... Read more

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This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.As in the case of other interesting quaternionic function theories, the original motivations were the richness of the theory of holomorphic functions of one complex variable and the fact that quaternions form the only
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Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Edited by Józef Banaś, Calogero Vetro, Mohammad Mursaleen, Bessem Samet, Mohamed Jleli ...

Series series Mathematics and Statistics (R0)
This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially ... Read more

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This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially
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Functional Equations And Inequalities: Solutions And Stability Results

by John Michael Rassias, E Thandapani, K Ravi, B V Senthil Kumar ...

Series Book 21 - Series On Concrete And Applicable Mathematics
This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability ... Read more

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This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability
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Rigorous Time Slicing Approach to Feynman Path Integrals

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Series series Mathematics and Statistics (R0)
This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrödinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are bounded. The semi-classical asymptotic formula up to the second term of the fundamental solution is also ... Read more

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This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrödinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are bounded. The semi-classical asymptotic formula up to the second term of the fundamental solution is also
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Mathematische Grundlagen der Quantenmechanik

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Wichtige in der Quantenmechanik auftretende Begriffe mathematisch präzise und ausführlich zu erklären und anzuwenden – das ist das Ziel des vorliegenden Buches. Die Axiome der Quantenmechanik können in wenigen Zeilen formuliert werden, stecken aber voller mathematisch anspruchsvoller Begriffe. In diesem Buch werden die wichtigsten Konzepte erläutert, welche zum Verständnis der Quantenmechanik ... Read more

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Wichtige in der Quantenmechanik auftretende Begriffe mathematisch präzise und ausführlich zu erklären und anzuwenden – das ist das Ziel des vorliegenden Buches. Die Axiome der Quantenmechanik können in wenigen Zeilen formuliert werden, stecken aber voller mathematisch anspruchsvoller Begriffe. In diesem Buch werden die wichtigsten Konzepte erläutert, welche zum Verständnis der Quantenmechanik
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Harmonic Analysis on Exponential Solvable Lie Groups

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Series series Mathematics and Statistics (R0)
This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers.The orbit method invented by Kirillov is applied to study basic problems in the ... Read more

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This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers.The orbit method invented by Kirillov is applied to study basic problems in the
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Bi-Continuous Operator Semigroups

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Series series Mathematics and Statistics (R0)
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This monograph serves two primary purposes. First, it provides a comprehensive treatment of bi-continuous semigroup theory and its applications, ranging from network theory to control theory. The exposition proceeds systematically from fundamental theory through approximation methods, extrapolation techniques as well as perturbation theory, concluding with applications to networks, mean ergodicity
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Creating Symmetry

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A step-by-step illustrated introduction to the astounding mathematics of symmetryThis lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes,
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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
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Advanced Functional Analysis

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Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced functional analysis and can serve as a guide for related research. The book can be used as a textbook
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Generalized Adjoint Systems

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Series series Mathematics and Statistics (R0)
This book defines and develops the generalized adjoint of an input-output system. It is the result of a theoretical development and examination of the generalized adjoint concept and the conditions under which systems analysis using adjoints is valid. Results developed in this book are useful aids for the analysis and modeling of physical systems, including the development of guidance and control ... Read more

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This book defines and develops the generalized adjoint of an input-output system. It is the result of a theoretical development and examination of the generalized adjoint concept and the conditions under which systems analysis using adjoints is valid. Results developed in this book are useful aids for the analysis and modeling of physical systems, including the development of guidance and control
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Exploring Mathematical Analysis, Approximation Theory, and Optimization

270 Years Since A.-M. Legendre’s Birth

Edited by Nicholas J. Daras, Michael Th. Rassias, Nikolaos B. Zographopoulos ...

Series series Mathematics and Statistics (R0)
This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it ... Read more

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This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it
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Integral Theorems for Functions and Differential Forms in C(m)

by Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen ...

Series series Chapman & Hall/CRC Research Notes in Mathematics Series
The theory of holomorphic functions of several complex variables emerged from the attempt to generalize the theory in one variable to the multidimensional situation. Research in this area has led to the discovery of many sophisticated facts, structures, ideas, relations, and applications. This deepening of knowledge, however, has also revealed more ... Read more

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The theory of holomorphic functions of several complex variables emerged from the attempt to generalize the theory in one variable to the multidimensional situation. Research in this area has led to the discovery of many sophisticated facts, structures, ideas, relations, and applications. This deepening of knowledge, however, has also revealed more
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Problems and Solutions in Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions and Quantum Mechanics

by Willi-Hans Steeb, Wolfgang Mathis ...

This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students ... Read more

RM 190.59

This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students
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Uniform Spaces and Measures

by Jan Pachl ...

Series Book 30 - Fields Institute Monographs
This book addresses the need for an accessible comprehensive exposition of the theory of uniform measures; the need that became more critical when recently uniform measures reemerged in new results in abstract harmonic analysis. Until now, results about uniform measures have been scattered through many papers written by a number of authors, some unpublished, written using a variety of definitions ... Read more

RM 377.29

This book addresses the need for an accessible comprehensive exposition of the theory of uniform measures; the need that became more critical when recently uniform measures reemerged in new results in abstract harmonic analysis. Until now, results about uniform measures have been scattered through many papers written by a number of authors, some unpublished, written using a variety of definitions
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Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces

by Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović ...

Series Book 2 - RSME Springer Series
This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind in this area. After several introductory chapters covering the basic material, a large variety of ... Read more

RM 461.19

This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind in this area. After several introductory chapters covering the basic material, a large variety of
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Weakly Stationary Random Fields, Invariant Subspaces and Applications

by Vidyadhar S. Mandrekar, David A. Redett ...

The first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with functional analysis). It reviews current literature, presents central issues and most important results within the area. For advanced Ph.D. students, researchers, especially those conducting research on Gaussian theory. ... Read more

RM 266.56

The first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with functional analysis). It reviews current literature, presents central issues and most important results within the area. For advanced Ph.D. students, researchers, especially those conducting research on Gaussian theory.
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Stochastic Analysis and Applications

by Pinsky ...

Series series Advances in Probability and Related Topics
This volume attempts to exhibit current research in stochastic integration, stochastic differential equations, stochastic optimization and stochastic problems in physics and biology. It includes information on the theory of Dirichlet forms, Feynman integration and the Schrodinger's equation. ... Read more

RM 344.97

This volume attempts to exhibit current research in stochastic integration, stochastic differential equations, stochastic optimization and stochastic problems in physics and biology. It includes information on the theory of Dirichlet forms, Feynman integration and the Schrodinger's equation.
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Transfer Operators, Endomorphisms, and Measurable Partitions

by Sergey Bezuglyi, Palle E. T. Jorgensen ...

Series series Mathematics and Statistics (R0)
The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of ... Read more

RM 167.69

The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of
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Morrey Spaces

Introduction and Applications to Integral Operators and PDE’s, Volume I

by Yoshihiro Sawano ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial diﬀerential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial diﬀerential equations and mathematical physics.Across two volumes, the authors of Morrey Spaces: Introduction and Applications ... Read more

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Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial diﬀerential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial diﬀerential equations and mathematical physics.Across two volumes, the authors of Morrey Spaces: Introduction and Applications
... Read more

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Recommended For You

Functional Analysis eBooks

Infinite Dimensional Analysis, Quantum Probability and Applications

Foundations of Quantitative Finance: Book III. The Integrals of Riemann, Lebesgue and (Riemann-)Stieltjes

Index Theory Beyond the Fredholm Case

State Space Consistency and Differentiability

Regular Functions of a Quaternionic Variable

Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Functional Equations And Inequalities: Solutions And Stability Results

Rigorous Time Slicing Approach to Feynman Path Integrals

Mathematische Grundlagen der Quantenmechanik

Harmonic Analysis on Exponential Solvable Lie Groups

Bi-Continuous Operator Semigroups

Creating Symmetry

Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality II

Advanced Functional Analysis

Generalized Adjoint Systems

Exploring Mathematical Analysis, Approximation Theory, and Optimization

Integral Theorems for Functions and Differential Forms in C(m)

Problems and Solutions in Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions and Quantum Mechanics

Uniform Spaces and Measures

Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces

Weakly Stationary Random Fields, Invariant Subspaces and Applications

Stochastic Analysis and Applications

Transfer Operators, Endomorphisms, and Measurable Partitions

Morrey Spaces