Representations of Commutative Semitopological Semigroups
Author: C.F. Dunkl
Publisher: Springer
Published: 2006-11-15
Total Pages: 188
ISBN-13: 3540374027
DOWNLOAD EBOOK →Author: C.F. Dunkl
Publisher: Springer
Published: 2006-11-15
Total Pages: 188
ISBN-13: 3540374027
DOWNLOAD EBOOK →Author: C. F. Dunkl
Publisher:
Published: 2014-01-15
Total Pages: 128
ISBN-13: 9783662173343
DOWNLOAD EBOOK →Author: Charles F. Dunkl
Publisher: Springer
Published: 1975
Total Pages: 181
ISBN-13: 9780387071329
DOWNLOAD EBOOK →Author: John F. Berglund
Publisher: Wiley-Interscience
Published: 1989-05-03
Total Pages: 360
ISBN-13:
DOWNLOAD EBOOK →This treatment of analysis on semigroups stresses the functional analytical and dynamical theory of continuous representations of semitopological semigroups. Topics covered include compact semitopological semigroups, invariant means and idempotent means on compact semitopological semigroups, affine compactifications, left multiplicatively continuous functions and weakly left continuous functions, compactifications of infinite direct products, and weakly almost periodic semigroups of Markov operators. Contains over 200 exercises, from simple applications and examples to further developments of the theory.
Author: Wolfgang Ruppert
Publisher: Springer
Published: 2006-11-14
Total Pages: 266
ISBN-13: 3540389385
DOWNLOAD EBOOK →Author: J. F. Berglund
Publisher: Springer
Published: 2006-11-14
Total Pages: 166
ISBN-13: 3540351841
DOWNLOAD EBOOK →Author: Karl H. Hofmann
Publisher: Walter de Gruyter
Published: 2011-05-03
Total Pages: 413
ISBN-13: 3110856042
DOWNLOAD EBOOK →The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Author: Alfred Hoblitzelle Clifford
Publisher: American Mathematical Soc.
Published: 1961-12-31
Total Pages: 242
ISBN-13: 0821802712
DOWNLOAD EBOOK →The material in this volume was presented in a second-year graduate course at Tulane University, during the academic year 1958-1959. The book aims at being largely self-contained, but it is assumed that the reader has some familiarity with sets, mappings, groups, and lattices. Only in Chapter 5 will more preliminary knowledge be required, and even there the classical definitions and theorems on the matrix representations of algebras and groups are summarized.
Author: C. van den Berg
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 299
ISBN-13: 146121128X
DOWNLOAD EBOOK →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.
Author: Helge Glöckner
Publisher: American Mathematical Soc.
Published: 2003
Total Pages: 150
ISBN-13: 0821832565
DOWNLOAD EBOOK →A memoir that studies positive definite functions on convex subsets of finite- or infinite-dimensional vector spaces. It studies representations of convex cones by positive operators on Hilbert spaces. It also studies the interplay between positive definite functions and representations of convex cones.