Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences
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A01=Rupert Lasser
Approximation
Author_Rupert Lasser
Category=PBKS
Difference Equations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Harmonic Analysis
Hypergroups
Orthogonal Expansions
Polynomial Hypergroups
Stationary Random Sequences
Product details
- ISBN 9789811266195
- Publication Date: 16 Jan 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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The book aims at giving a monographic presentation of the abstract harmonic analysis of hypergroups, while combining it with applied topics of spectral analysis, approximation by orthogonal expansions and stochastic sequences. Hypergroups are locally compact Hausdorff spaces equipped with a convolution, an involution and a unit element. Related algebraic structures had already been studied by Frobenius around 1900. Their axiomatic characterisation in harmonic analysis was later developed in the 1970s. Hypergoups naturally emerge in seemingly different application areas as time series analysis, probability theory and theoretical physics.The book presents harmonic analysis on commutative and polynomial hypergroups as well as weakly stationary random fields and sequences thereon. For polynomial hypergroups also difference equations and stationary sequences are considered. At greater extent than in the existing literature, the book compiles a rather comprehensive list of hypergroups, in particular of polynomial hypergroups. With an eye on readers at advanced undergraduate and graduate level, the proofs are generally worked out in careful detail. The bibliography is extensive.
