Harmonic Analysis of Probability Measures on Hypergroups

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Editorial Reviews

Booknews
A systematic presentation of the applications of the hypergroup method to problems in probability theory that deals exclusively with topological hypergroups, focusing on those that are commutative. It considers hypergroups as locally compact spaces with a group-like structure on which the bounded measures convolve in a similar way to that on a locally compact group. The volume covers hypergroups and their measure algebras, the dual of a commutative hypergroup, some special classes of hypergroups, positive and negative definite functions and measures, convolution semigroups and divisibility of measures, transience of convolution semigroups, and randomized sums of hypergroup-valued random variables. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Introduction 1
1 Hypergroups and their measure algebras 6
2 The dual of a commutative hypergroup 74
3 Some special classes of hypergroups 133
4 Positive and negative definite functions and measures 258
5 Convolution semigroups and divisibility of measures 317
6 Transience of convolution semigroups 382
7 Randomized sums of hypergroup-valued random variables 446
8 Further topics 534
Bibliography 553
Examples 581
Symbols 589
Index 597
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