Probability Measures on Groups X

Editors: Heyer, H. (Ed.)

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About this book

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".

Table of contents (35 chapters)

  • Homoclinic Points Cr-Created under Hypotheses by Probability Measures

    Aoki, Nobuo (et al.)

    Pages 1-9

  • An Approximate Martingale Convergence Theorem on Locally Compact Abelian Groups

    Bingham, Michael S.

    Pages 11-17

  • Positive Definite Functions and the Lévy Continuity Theorem for Commutative Hypergroups

    Bloom, Walter R. (et al.)

    Pages 19-38

  • A Hunt-Stein Theorem for Amenable Semigroups

    Bondar, James V.

    Pages 39-43

  • Jacobi Polynomials and Related Hypergroup Structures

    Connett, W. C. (et al.)

    Pages 45-81

Buy this book

eBook $169.00
price for USA in USD (gross)
  • ISBN 978-1-4899-2364-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
price for USA in USD
  • ISBN 978-0-306-44059-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $219.99
price for USA in USD
  • ISBN 978-1-4899-2366-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Probability Measures on Groups X
Editors
  • H. Heyer
Copyright
1991
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4899-2364-6
DOI
10.1007/978-1-4899-2364-6
Hardcover ISBN
978-0-306-44059-5
Softcover ISBN
978-1-4899-2366-0
Edition Number
1
Number of Pages
IX, 498
Topics