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/lp/de-gruyter/on-positive-definite-and-stationary-sequences-with-respect-to-eODDs0X0E9
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- Publisher
- de Gruyter
- Copyright
- Copyright © 2011 by the
- ISSN
- 1425-6908
- eISSN
- 1869-6082
- DOI
- 10.1515/jaa.2011.013
- Publisher site
- See Article on Publisher Site
Abstract
Abstract 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 R n -stationary double sequences is an R n -stationary sequence of elements in a Hilbert space. We derive an ergodic theorem for such R n -stationary sequences and we give a complete characterization of the space of multipliers defined by such an R n -stationary sequence. Further we give examples of bounded positive definite double sequences.
Journal
Journal of Applied Analysis – de Gruyter
Published: Dec 1, 2011