Probability Measures on Groups X

  • Herbert Heyer

Table of contents

  1. Front Matter
    Pages i-ix
  2. James V. Bondar
    Pages 39-43
  3. W. C. Connett, C. Markett, A. L. Schwartz
    Pages 45-81
  4. R. W. R. Darling, Arunava Mukherjea
    Pages 83-94
  5. I. L. Dryden, K. V. Mardia
    Pages 95-116
  6. P. Feinsilver, R. Schott
    Pages 129-135
  7. Colin C. Graham, Kari Ylinen
    Pages 169-176

About this book

Introduction

The present volume contains the transactions of the lOth Oberwolfach Conference on "Probability Measures on Groups". The series of these meetings inaugurated in 1970 by L. Schmetterer and the editor is devoted to an intensive exchange of ideas on a subject which developed from the relations between various topics of mathematics: measure theory, probability theory, group theory, harmonic analysis, special functions, partial differential operators, quantum stochastics, just to name the most significant ones. Over the years the fruitful interplay broadened in various directions: new group-related structures such as convolution algebras, generalized translation spaces, hypercomplex systems, and hypergroups arose from generalizations as well as from applications, and a gradual refinement of the combinatorial, Banach-algebraic and Fourier analytic methods led to more precise insights into the theory. In a period of highest specialization in scientific thought the separated minds should be reunited by actively emphasizing similarities, analogies and coincidences between ideas in their fields of research. Although there is no real separation between one field and another - David Hilbert denied even the existence of any difference between pure and applied mathematics - bridges between probability theory on one side and algebra, topology and geometry on the other side remain absolutely necessary. They provide a favorable ground for the communication between apparently disjoint research groups and motivate the framework of what is nowadays called "Structural probability theory".

Keywords

Abelian group Group theory Probability theory Symmetry group algebra measure theory

Editors and affiliations

  • Herbert Heyer
    • 1
  1. 1.University of TübingenTübingenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4899-2364-6
  • Copyright Information Springer-Verlag US 1991
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4899-2366-0
  • Online ISBN 978-1-4899-2364-6
  • About this book