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Probability Measures on Groups X (Paperback, Softcover reprint of the original 1st ed. 1991)
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Probability Measures on Groups X (Paperback, Softcover reprint of the original 1st ed. 1991)
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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."
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