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Asymptotic Formulae in Spectral Geometry

af Peter B. Gilkey ...

A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content ... Læs mere

2.130,92 kr.

A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content
... Læs mere
Spectral Theory of Guided Waves

af A.S Silbergleit, Y Kopilevich ...

Spectral Theory of Guided Waves represents a distillation of the authors' (and others) efforts over several years to rigorously discuss many of the properties of guided waves. The bulk of the book deals with the properties of eigenwaves of regular waveguiding systems and relates these to a variety of physical situations and applications to illustrate their generality. The book also includes ... Læs mere

2.636,88 kr.

Spectral Theory of Guided Waves represents a distillation of the authors' (and others) efforts over several years to rigorously discuss many of the properties of guided waves. The bulk of the book deals with the properties of eigenwaves of regular waveguiding systems and relates these to a variety of physical situations and applications to illustrate their generality. The book also includes
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Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements

af Ilwoo Cho ...

Serier serie Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the C∗-probability spaces.FeaturesSuitable for graduate students and professional ... Læs mere

1.904,90 kr.

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the C∗-probability spaces.FeaturesSuitable for graduate students and professional
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The Mathematical Theory of Time-Harmonic Maxwell's Equations

Expansion-, Integral-, and Variational Methods

af Andreas Kirsch, Frank Hettlich ...

Serier serie Mathematics and Statistics (R0)
This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful ... Læs mere

466,97 kr.

This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful
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The Golden Ticket

P, NP, and the Search for the Impossible

af Lance Fortnow ...

The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron ... Læs mere

149,61 kr.

The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron
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Completeness of Root Functions of Regular Differential Operators

af Sasun Yakubov ...

Serier serie Monographs and Surveys in Pure and Applied Mathematics
The precise mathematical investigation of various natural phenomena is an old and difficult problem. This book is the first to deal systematically with the general non-selfadjoint problems in mechanics and physics. It deals mainly with bounded domains with smooth boundaries, but also considers elliptic boundary value problems in tube domains, i.e. in non-smooth domains. This volume will be of ... Læs mere

2.077,11 kr.

The precise mathematical investigation of various natural phenomena is an old and difficult problem. This book is the first to deal systematically with the general non-selfadjoint problems in mechanics and physics. It deals mainly with bounded domains with smooth boundaries, but also considers elliptic boundary value problems in tube domains, i.e. in non-smooth domains. This volume will be of
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Il libro di matematica: volume 1

af Simone Malacrida ...

In questo libro è presentata la maggior parte della matematica, partendo dai concetti basilari ed elementari, fino a sondare i settori più complessi e avanzati. La matematica è affrontata sia dal punto di vista teorico, esponendo i teoremi e le definizioni di ogni particolare tipologia, sia a livello pratico, andando a risolvere oltre 1'000 esercizi. L’approccio alla matematica è dato da una ... Læs mere

96,13 kr.

In questo libro è presentata la maggior parte della matematica, partendo dai concetti basilari ed elementari, fino a sondare i settori più complessi e avanzati. La matematica è affrontata sia dal punto di vista teorico, esponendo i teoremi e le definizioni di ogni particolare tipologia, sia a livello pratico, andando a risolvere oltre 1'000 esercizi. L’approccio alla matematica è dato da una
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Continuous-Time Markov Jump Linear Systems

af Oswaldo Luiz do Valle Costa, Marcelo D. Fragoso, Marcos G. Todorov ...

Serier serie Mathematics and Statistics (R0)
It has been widely recognized nowadays the importance of introducing mathematical models that take into account possible sudden changes in the dynamical behavior of a high-integrity systems or a safety-critical system. Such systems can be found in aircraft control, nuclear power stations, robotic manipulator systems, integrated communication networks and large-scale flexible structures for space ... Læs mere

840,61 kr.

It has been widely recognized nowadays the importance of introducing mathematical models that take into account possible sudden changes in the dynamical behavior of a high-integrity systems or a safety-critical system. Such systems can be found in aircraft control, nuclear power stations, robotic manipulator systems, integrated communication networks and large-scale flexible structures for space
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Distributions, Partial Differential Equations, and Harmonic Analysis

af Dorina Mitrea ...

Serier serie Mathematics and Statistics (R0)
The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e ... Læs mere

653,79 kr.

The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e
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Hysteresis Phenomena in Biology

af Hamid Reza Noori ...

Serier serie Mathematics and Statistics (R0)
The occurrence of hysteresis phenomena has been traditionally associated with mechanical and magnetic properties of materials. However, recent studies on the dynamics of biological processes suggest switch-like behavior that could be described by mathematical models of hysteresis. This book presents the milestones and perspectives of biological hysteresis and provides a comprehensive and ... Læs mere

466,97 kr.

The occurrence of hysteresis phenomena has been traditionally associated with mechanical and magnetic properties of materials. However, recent studies on the dynamics of biological processes suggest switch-like behavior that could be described by mathematical models of hysteresis. This book presents the milestones and perspectives of biological hysteresis and provides a comprehensive and
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Functional Analysis

af Peter D. Lax ...

Serier serie Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.Includes an appendix ... Læs mere

987,86 kr.

Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.Includes an appendix
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The Corona Problem

Connections Between Operator Theory, Function Theory, and Geometry

Redigeret af Eric T. Sawyer, Sergei Treil, Brett D. Wick, Ronald G. Douglas, Steven G. Krantz ...

Serier serie Mathematics and Statistics (R0)
The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop, ... Læs mere

466,97 kr.

The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop,
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Stability of Functional Equations in Banach Algebras

af Themistocles M. Rassias, Reza Saadati, Choonkil Park, Yeol Je Cho ...

Serier serie Mathematics and Statistics (R0)
Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. Since the homomorphisms and derivations in Banach ... Læs mere

466,97 kr.

Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. Since the homomorphisms and derivations in Banach
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Real Analysis

af Peter A. Loeb ...

Serier serie Mathematics and Statistics (R0)
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors.The ... Læs mere

560,38 kr.

This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors.The
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Writing Proofs in Analysis

af Jonathan M. Kane ...

Serier serie Mathematics and Statistics (R0)
This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical ... Læs mere

560,38 kr.

This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical
... Læs mere
Theory of Reproducing Kernels and Applications

af Saburou Saitoh, Yoshihiro Sawano ...

Serier serie Mathematics and Statistics (R0)
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among ... Læs mere

1.214,26 kr.

This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among
... Læs mere
Functional Analysis in Interdisciplinary Applications

Astana, Kazakhstan, October 2017

Redigeret af Tynysbek Sh. Kalmenov, Erlan D. Nursultanov, Michael V. Ruzhansky, Makhmud A. Sadybekov ...

Serier serie Springer Nature Proceedings excluding Computer Science
This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces; ... Læs mere

840,61 kr.

This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces;
... Læs mere
Open Conformal Systems and Perturbations of Transfer Operators

af Mark Pollicott, Mariusz Urbański ...

Serier serie Mathematics and Statistics (R0)
The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more ... Læs mere

420,26 kr.

The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more
... Læs mere
Mathematical Analysis and Applications—Plenary Lectures

ISAAC 2017, Växjö, Sweden

Redigeret af Luigi G. Rodino, Joachim Toft ...

Serier serie Springer Nature Proceedings excluding Computer Science
This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Växjö, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional ... Læs mere

840,61 kr.

This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Växjö, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional
... Læs mere
The Functional Analysis of Quantum Information Theory

A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter

af Ved Prakash Gupta, Prabha Mandayam, V.S. Sunder ...

Serier serie Physics and Astronomy (R0)
This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of ... Læs mere

420,26 kr.

This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of
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Geometric Properties for Parabolic and Elliptic PDE's

GPPEPDEs, Palinuro, Italy, May 2015

Redigeret af Filippo Gazzola, Kazuhiro Ishige, Carlo Nitsch, Paolo Salani ...

Serier serie Springer Nature Proceedings excluding Computer Science
This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the ... Læs mere

1.401,08 kr.

This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the
... Læs mere
Operators, Inequalities and Approximation

Theory and Applications

Redigeret af Binod Chandra Tripathy, Hemen Dutta, Susanta Kumar Paikray, Bidu Bhusan Jena ...

Serier serie Mathematics and Statistics (R0)
The book collects chapters on operator theory as well as related approximation results and analytic inequalities. It discusses the properties of various types of operators, methods for approximating such operators, proximity point problems, applications of approximation methods in other fields such as engineering, and some analytic inequalities. It seeks to capture both the pure and applied ... Læs mere

1.401,08 kr.

The book collects chapters on operator theory as well as related approximation results and analytic inequalities. It discusses the properties of various types of operators, methods for approximating such operators, proximity point problems, applications of approximation methods in other fields such as engineering, and some analytic inequalities. It seeks to capture both the pure and applied
... Læs mere
Functional Analysis and the Feynman Operator Calculus

af Tepper Gill, Woodford Zachary ...

Serier serie Mathematics and Statistics (R0)
This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, ... Læs mere

1.120,85 kr.

This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application,
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Multidimensional Periodic Schrödinger Operator

Perturbation Theories for High Energy Regions and Their Applications

af Oktay Veliev ...

Serier serie Physics and Astronomy (R0)
This book describes the direct and inverse problems of the multidimensional Schrödinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch ... Læs mere

1.214,26 kr.

This book describes the direct and inverse problems of the multidimensional Schrödinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch
... Læs mere

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Funktionel analyse e-bøger

Asymptotic Formulae in Spectral Geometry

Spectral Theory of Guided Waves

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements

The Mathematical Theory of Time-Harmonic Maxwell's Equations

The Golden Ticket

Completeness of Root Functions of Regular Differential Operators

Il libro di matematica: volume 1

Continuous-Time Markov Jump Linear Systems

Distributions, Partial Differential Equations, and Harmonic Analysis

Hysteresis Phenomena in Biology

Functional Analysis

The Corona Problem

Stability of Functional Equations in Banach Algebras

Real Analysis

Writing Proofs in Analysis

Theory of Reproducing Kernels and Applications

Functional Analysis in Interdisciplinary Applications

Open Conformal Systems and Perturbations of Transfer Operators

Mathematical Analysis and Applications—Plenary Lectures

The Functional Analysis of Quantum Information Theory

Geometric Properties for Parabolic and Elliptic PDE's

Operators, Inequalities and Approximation

Functional Analysis and the Feynman Operator Calculus

Multidimensional Periodic Schrödinger Operator