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On positive definite and stationary sequences with respect to polynomial hypergroups.

J. Appl. Anal. 17, 207-230 (2011)
Verlagsversion DOI
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
We study bounded positive definite double sequences which are stationary with respect to a polynomial hypergroup structure generated by . Connected with bounded positive definite and Rn-stationary double sequences is an Rn-stationary sequence of elements in a Hilbert space. We derive an ergodic theorem for such Rn-stationary sequences and we give a complete characterization of the space of multipliers defined by such an Rn-stationary sequence. Further we give examples of bounded positive definite double sequences.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Positive definite; ergodic theorem; multiplier; polynomial hypergroup
ISSN (print) / ISBN 1425-6908
e-ISSN 1869-6082
Quellenangaben Band: 17, Heft: 2, Seiten: 207-230 Artikelnummer: , Supplement: ,
Verlag de Gruyter
Begutachtungsstatus Peer reviewed