On positive definite and stationary sequences with respect to polynomial hypergroups

• Autorzy: Lasser R.
• Języki publikacji: EN

Abstrakty

EN

We study bounded positive definite double sequences which are stationary with respect to a polynomial hypergroup structure generated by (Rn(t)) ∈nNo. 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.

Słowa kluczowe

EN

positive definite; ergodic theorem; multiplier; polynomial hypergroup

PL

twierdzenie ergodyczne; nadgrupa wielomianowa

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2011
• Tom: Vol. 17, nr 2
• Strony: 207--230
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Lasser R.

• Helmholtz National Research Center for Environment and Health, Institute of Biomathematics and Biometry, Ingolstadter Landstrasse 1, 85764 Neuherberg, Germany,

Bibliografia

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