Harmonic Analysis on Hypergroups: Approximation and Stochastic Sequences - Couverture rigide

Lasser, Rupert

 
9789811266195: Harmonic Analysis on Hypergroups: Approximation and Stochastic Sequences
Couverture rigide
ISBN 10 : 9811266190 ISBN 13 : 9789811266195
Editeur : World Scientific Publishing Co Pte Ltd, 2023

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2023
Langue
anglais
ISBN 10 
9811266190
ISBN 13 
9789811266195
Reliure
Relié
Nombre de pages
620
Coordonnées du fabricant
non disponible
Personne responsable
non disponible