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Introduction to ℓ²-invariants

af Holger Kammeyer ...

Serier serie Mathematics and Statistics (R0)
This book introduces the reader to the most important concepts and problems in the field of ℓ²-invariants. After some foundational material on group von Neumann algebras, ℓ²-Betti numbers are defined and their use is illustrated by several examples. The text continues with Atiyah's question on possible values of ℓ²-Betti numbers and the relation to Kaplansky's zero divisor conjecture. The general ... Læs mere

466,97 kr.

This book introduces the reader to the most important concepts and problems in the field of ℓ²-invariants. After some foundational material on group von Neumann algebras, ℓ²-Betti numbers are defined and their use is illustrated by several examples. The text continues with Atiyah's question on possible values of ℓ²-Betti numbers and the relation to Kaplansky's zero divisor conjecture. The general
... Læs mere
Sequence Space Theory with Applications

Redigeret af S. A. Mohiuddine, Bipan Hazarika ...

The book features original chapters on sequence spaces involving the idea of ideal convergence, modulus function, multiplier sequences, Riesz mean, Fibonacci difference matrix etc., and illustrate their involvement in various applications. The preliminaries have been presented in the beginning of each chapter and then the advanced discussion takes place, so it is useful for both expert and ... Læs mere

1.904,90 kr.

The book features original chapters on sequence spaces involving the idea of ideal convergence, modulus function, multiplier sequences, Riesz mean, Fibonacci difference matrix etc., and illustrate their involvement in various applications. The preliminaries have been presented in the beginning of each chapter and then the advanced discussion takes place, so it is useful for both expert and
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Order Analysis, Deep Learning, and Connections to Optimization

af Johannes Jahn ...

Serier serie Business and Management (R0)
This book introduces readers to order analysis and various aspects of deep learning, and describes important connections to optimization, such as nonlinear optimization as well as vector and set optimization. Besides a review of the essentials, this book consists of two main parts.The first main part focuses on the introduction of order analysis as an application-driven theory, which allows to ... Læs mere

1.214,26 kr.

This book introduces readers to order analysis and various aspects of deep learning, and describes important connections to optimization, such as nonlinear optimization as well as vector and set optimization. Besides a review of the essentials, this book consists of two main parts.The first main part focuses on the introduction of order analysis as an application-driven theory, which allows to
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Inequalities In Analysis And Probability

af Odile Pons ...

The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to ... Læs mere

320,71 kr.

The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to
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Introduction to Measure Theory and Functional Analysis

af Piermarco Cannarsa, Teresa D'Aprile ...

Serier serie Mathematics and Statistics (R0)
This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two ... Læs mere

607,08 kr.

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two
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Jump SDEs and the Study of Their Densities

A Self-Study Book

af Arturo Kohatsu-Higa, Atsushi Takeuchi ...

Serier serie Mathematics and Statistics (R0)
The present book deals with a streamlined presentation of Lévy processes and their densities. It is directed at advanced undergraduates who have already completed a basic probability course. Poisson random variables, exponential random variables, and the introduction of Poisson processes are presented first, followed by the introduction of Poisson random measures in a simple case. With these tools ... Læs mere

653,79 kr.

The present book deals with a streamlined presentation of Lévy processes and their densities. It is directed at advanced undergraduates who have already completed a basic probability course. Poisson random variables, exponential random variables, and the introduction of Poisson processes are presented first, followed by the introduction of Poisson random measures in a simple case. With these tools
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Isometries in Banach Spaces

Vector-valued Function Spaces and Operator Spaces, Volume Two

af Richard J. Fleming, James E. Jamison ...

Serier serie Monographs and Surveys in Pure and Applied Mathematics
A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces.Picking up where the first volume left off, the book begins with a chapter on the Banach-Stone property. ... Læs mere

1.904,90 kr.

A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces.Picking up where the first volume left off, the book begins with a chapter on the Banach-Stone property.
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P-Adic Functional Analysis

Redigeret af 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. ... Læs mere

3.121,20 kr.

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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Almost Periodic Solutions of Differential Equations in Banach Spaces

af Yoshiyuki Hino, Toshiki Naito, Nguyen VanMinh, Jong Son Shin ...

Serier serie Stability and Control: Theory, Methods and Applications
This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with ... Læs mere

1.851,09 kr.

This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with
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Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

af Daniel Alpay, Fabrizio Colombo, Irene Sabadini ...

Serier serie Mathematics and Statistics (R0)
The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications.The book is divided into three parts. In ... Læs mere

1.494,50 kr.

The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications.The book is divided into three parts. In
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A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering

af H.T. Banks ...

A Modern Framework Based on Time-Tested MaterialA Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering presents functional analysis as a tool for understanding and treating distributed parameter systems. Drawing on his extensive research and teaching from the past 20 years, the author explains how functional ... Læs mere

742,52 kr.

A Modern Framework Based on Time-Tested MaterialA Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering presents functional analysis as a tool for understanding and treating distributed parameter systems. Drawing on his extensive research and teaching from the past 20 years, the author explains how functional
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Nonlinear and Convex Analysis

Proceedings in Honor of Ky Fan

Redigeret af Bor-Luh Lin, Stephen Simone ...

Serier serie Lecture Notes in Pure and Applied Mathematics
This book contains expanded versions of the talks given at the conference held in honour of professor Ky Fan in California in 1985, as well as papers on nonlinear and convex analysis as contributions to Ky Fan. It also includes a list of publications by Ky Fan. ... Læs mere

2.130,92 kr.

This book contains expanded versions of the talks given at the conference held in honour of professor Ky Fan in California in 1985, as well as papers on nonlinear and convex analysis as contributions to Ky Fan. It also includes a list of publications by Ky Fan.
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Quantum Field Theory and Functional Integrals

An Introduction to Feynman Path Integrals and the Foundations of Axiomatic Field Theory

af Nima Moshayedi ...

Serier serie Physics and Astronomy (R0)
Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view. Therein lies the main focus of Euclidean field theory. The notion of Gaussian measure and the construction of the Wiener measure are covered. As well, the notion of classical mechanics and the Schrödinger picture of quantum mechanics are recalled. There, the ... Læs mere

560,38 kr.

Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view. Therein lies the main focus of Euclidean field theory. The notion of Gaussian measure and the construction of the Wiener measure are covered. As well, the notion of classical mechanics and the Schrödinger picture of quantum mechanics are recalled. There, the
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Hardy Operators on Euclidean Spaces and Related Topics

af Shanzhen Lu, Zunwei Fu, Fayou Zhao, Shaoguang Shi ...

Serier Bog 11 - Series on Analysis, Applications and Computation
In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy ... Læs mere

497,10 kr.

In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy
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From Complex Analysis to Operator Theory: A Panorama

In Memory of Sergey Naboko

Redigeret af Malcolm Brown, Fritz Gesztesy, Pavel Kurasov, Ari Laptev, Barry Simon, Gunter Stolz, Ian Wood ...

Serier serie Mathematics and Statistics (R0)
This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will ... Læs mere

1.494,50 kr.

This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will
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Harmonic Analysis and Integral Geometry

Redigeret af Massimo Picardello ...

Serier serie Chapman & Hall/CRC Research Notes in Mathematics Series
Comprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress. This lively and very successful event drew the attendance of many top researchers, who offered both individual lecture ... Læs mere

2.130,92 kr.

Comprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress. This lively and very successful event drew the attendance of many top researchers, who offered both individual lecture
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Born-Jordan Quantization

Theory and Applications

af Maurice A. de Gosson ...

Serier serie 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 ... Læs mere

466,97 kr.

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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Real Analysis

An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers

af Gustavo Da Silva Araújo, Luis Bernal González, José L. Gámez Merino, María E. Martínez Gómez, Gustavo A. Muñoz Fernández, Daniel L. Rodríguez Vidanes, Juan B. Seoane Sepúlveda ...

Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book. This topic has been a compulsory subject for every undergraduate studying mathematics or engineering for a very long time. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve ... Læs mere

677,95 kr.

Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book. This topic has been a compulsory subject for every undergraduate studying mathematics or engineering for a very long time. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve
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partial differential equation methods in control and shape analysis

lecture notes in pure and applied mathematics

Redigeret af Giuseppe Da Prato, Jean-Paul Zolesio ...

Serier serie Lecture Notes in Pure and Applied Mathematics
"Based on the International Federatiojn for Information Processing WG 7.2 Conference, held recently in Pisa, Italy. Provides recent results as well as entirely new material on control theory and shape analysis. Written by leading authorities from various desciplines." ... Læs mere

3.121,20 kr.

"Based on the International Federatiojn for Information Processing WG 7.2 Conference, held recently in Pisa, Italy. Provides recent results as well as entirely new material on control theory and shape analysis. Written by leading authorities from various desciplines."
... Læs mere
Generalized Solutions of Operator Equations and Extreme Elements

af D.A. Klyushin, S.I. Lyashko, D.A. Nomirovskii, Yu.I. Petunin, Vladimir Semenov ...

Serier serie Mathematics and Statistics (R0)
Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. "Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme ... Læs mere

840,61 kr.

Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. "Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme
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Rigorous Time Slicing Approach to Feynman Path Integrals

af Daisuke Fujiwara ...

Serier serie 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 ... Læs mere

1.120,85 kr.

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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Quantum Symmetries

Metabief, France 2014

af Guillaume Aubrun, Adam Skalski, Roland Speicher ...

Serier serie Mathematics and Statistics (R0)
Providing an introduction to current research topics in functional analysis and its applications to quantum physics, this book presents three lectures surveying recent progress and open problems.A special focus is given to the role of symmetry in non-commutative probability, in the theory of quantum groups, and in quantum physics. The first lecture presents the close connection between ... Læs mere

326,85 kr.

Providing an introduction to current research topics in functional analysis and its applications to quantum physics, this book presents three lectures surveying recent progress and open problems.A special focus is given to the role of symmetry in non-commutative probability, in the theory of quantum groups, and in quantum physics. The first lecture presents the close connection between
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On Hilbert-Type and Hardy-Type Integral Inequalities and Applications

af Bicheng Yang, Michael Th. Rassias ...

Serier serie Mathematics and Statistics (R0)
This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type ... Læs mere

466,97 kr.

This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type
... Læs mere
Functional Analytic Methods for Partial Differential Equations

af Hiroki Tanabe ...

Serier serie Chapman & Hall/CRC Pure and Applied Mathematics
Combining both classical and current methods of analysis, this text present discussions on the application of functional analytic methods in partial differential equations. It furnishes a simplified, self-contained proof of Agmon-Douglis-Niremberg's Lp-estimates for boundary value problems, using the theory of singular integrals and the Hilbert transform. ... Læs mere

764,05 kr.

Combining both classical and current methods of analysis, this text present discussions on the application of functional analytic methods in partial differential equations. It furnishes a simplified, self-contained proof of Agmon-Douglis-Niremberg's Lp-estimates for boundary value problems, using the theory of singular integrals and the Hilbert transform.
... Læs mere

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Funktionel analyse e-bøger

Introduction to ℓ²-invariants

Sequence Space Theory with Applications

Order Analysis, Deep Learning, and Connections to Optimization

Inequalities In Analysis And Probability

Introduction to Measure Theory and Functional Analysis

Jump SDEs and the Study of Their Densities

Isometries in Banach Spaces

P-Adic Functional Analysis

Almost Periodic Solutions of Differential Equations in Banach Spaces

Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering

Nonlinear and Convex Analysis

Quantum Field Theory and Functional Integrals

Hardy Operators on Euclidean Spaces and Related Topics

From Complex Analysis to Operator Theory: A Panorama

Harmonic Analysis and Integral Geometry

Born-Jordan Quantization

Real Analysis

partial differential equation methods in control and shape analysis

Generalized Solutions of Operator Equations and Extreme Elements

Rigorous Time Slicing Approach to Feynman Path Integrals

Quantum Symmetries

On Hilbert-Type and Hardy-Type Integral Inequalities and Applications

Functional Analytic Methods for Partial Differential Equations