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Harmonic Analysis on Semigroups, C. van den Berg; J. P. R. Christensen; P. Ressel


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Автор: C. van den Berg; J. P. R. Christensen; P. Ressel
Название:  Harmonic Analysis on Semigroups
ISBN: 9781461270171
Издательство: Springer
Классификация: ISBN-10: 1461270170
Обложка/Формат: Paperback
Страницы: 292
Вес: 0.44 кг.
Дата издания: 02.10.2012
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 17
Основная тема: Mathematics
Подзаголовок: Theory of Positive Definite and Related Functions
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact terms in the famous theorems of Bochner, Bernstein-Widder and Hamburger. All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk is positive definite for all finite choices of elements St, . . ., Sn from S. The three basic results mentioned above correspond to (, +, x* = -x), ( 0, 00 , ], x* = x) and (No, +, n* = n). The purpose of this book is to provide a treatment of these positive definite functions on abelian semigroups with involution. In doing so we also discuss related topics such as negative definite functions, completely mono- tone functions and Hoeffding-type inequalities. We view these subjects as important ingredients of harmonic analysis on semigroups. It has been our aim, simultaneously, to write a book which can serve as a textbook for an advanced graduate course, because we feel that the notion of positive definiteness is an important and basic notion which occurs in mathematics as often as the notion of a Hilbert space.


Evolution Equations, Semigroups and Functional Analysis

Автор: Alfredo Lorenzi; Bernhard Ruf
Название: Evolution Equations, Semigroups and Functional Analysis
ISBN: 3034894805 ISBN-13(EAN): 9783034894807
Издательство: Springer
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Описание: Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savar , R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi

Topics in operator semigroups

Автор: Kantorovitz, Shmuel
Название: Topics in operator semigroups
ISBN: 081764931X ISBN-13(EAN): 9780817649319
Издательство: Springer
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Описание: Part I deals with the Hille--Yosida and Lumer--Phillips characterizations of semigroup generators, the Trotter--Kato approximation theorem, Kato`s unified treatment of the exponential formula and the Trotter product formula, the Hille--Phillips perturbation theorem, and Stone`s representation of unitary semigroups.

Commutative Semigroups

Автор: P.A. Grillet
Название: Commutative Semigroups
ISBN: 1441948570 ISBN-13(EAN): 9781441948571
Издательство: Springer
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Описание: The first book on commutative semigroups was Redei's The theory of .finitely generated commutative semigroups, published in Budapest in 1956. Subsequent years have brought much progress. By 1975 the structure of finite commutative semigroups was fairly well understood. Recent results have perfected this understanding and extended it to finitely generated semigroups. Today's coherent and powerful structure theory is the central subject of the present book. 1. Commutative semigroups are more important than is suggested by the stan- dard examples ofsemigroups, which consist ofvarious kinds oftransformations or arise from finite automata, and are usually quite noncommutative. Commutative of factoriza- semigroups provide a natural setting and a useful tool for the study tion in rings. Additive subsemigroups of N and Nn have close ties to algebraic geometry. Commutative rings are constructed from commutative semigroups as semigroup algebras or power series rings. These areas are all subjects of active research and together account for about half of all current papers on commutative semi groups. Commutative results also invite generalization to larger classes of semigroups. Archimedean decompositions, a comparatively small part oftoday's arsenal, have been generalized extensively, as shown for instance in the upcoming books by Nagy 2001] and Ciric 2002].

Operator semigroups meet complex analysis, harmonic analysis and mathematical physics

Название: Operator semigroups meet complex analysis, harmonic analysis and mathematical physics
ISBN: 3319184938 ISBN-13(EAN): 9783319184937
Издательство: Springer
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Цена: 22359.00 р.
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Описание:

This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrodinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor.

The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event.

They will be a valuable and inspiring source of information for graduate students and established researchers.

Harmonic Analysis on Semigroups

Автор: C. van den Berg; J. P. R. Christensen; P. Ressel
Название: Harmonic Analysis on Semigroups
ISBN: 0387909257 ISBN-13(EAN): 9780387909257
Издательство: Springer
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Цена: 8378.00 р.
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Описание: All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk" is positive definite for all finite choices of elements St, .

Convergence of One-Parameter Operator Semigroups

Автор: Bobrowski
Название: Convergence of One-Parameter Operator Semigroups
ISBN: 1107137438 ISBN-13(EAN): 9781107137431
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: Written by a leading expert in the field, this book presents the classical theory of convergence of semigroups and then uses real examples to show how it can be applied to models of mathematical biology as well as other branches of mathematics.

Probability Measures on Semigroups

Автор: G?ran H?gn?s; Arunava Mukherjea
Название: Probability Measures on Semigroups
ISBN: 1461427320 ISBN-13(EAN): 9781461427322
Издательство: Springer
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Цена: 21661.00 р.
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Описание: This book presents up-to-date material on the theory of weak convergence of convolution products of probability measures in semigroups, the theory of random walks on semigroups, and their applications to products of random matrices. Includes exercises.

Numerical Semigroups

Автор: J.C. Rosales; P. A. Garc?a-S?nchez
Название: Numerical Semigroups
ISBN: 1461424569 ISBN-13(EAN): 9781461424567
Издательство: Springer
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Цена: 14673.00 р.
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Описание: Focused specifically on the development of the numerical semigroup theory, this monograph provides a concise, self-contained overview for graduate students and researchers. Effective calculations are presented through algorithms and examples.

Representations of Commutative Semitopological Semigroups

Автор: C.F. Dunkl; D.E. Ramirez
Название: Representations of Commutative Semitopological Semigroups
ISBN: 3540071326 ISBN-13(EAN): 9783540071327
Издательство: Springer
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Цена: 3492.00 р.
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Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators

Автор: Andreas Eberle
Название: Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators
ISBN: 3540666281 ISBN-13(EAN): 9783540666288
Издательство: Springer
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Цена: 6282.00 р.
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Описание: This work addresses both probabilists working on diffusion processes, and analysts interested in linear parabolic partial differential equations with singular coefficients.

Lattices, Semigroups, and Universal Algebra

Автор: Jorge Almeida; Gabriela Bordalo; Philip Dwinger
Название: Lattices, Semigroups, and Universal Algebra
ISBN: 1489926100 ISBN-13(EAN): 9781489926104
Издательство: Springer
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Описание: Proceedings of an international conference held in Lisbon, Portugal, June 20-24, 1988


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