Generalized weighted Besov spaces on the Gegenbauer hypergroup

• Autorzy: Ibrahimov E. J.

Identyfikatory

DOI

10.14708/cm.v54i1.765

• Języki publikacji: EN

Abstrakty

EN

In this paper we study generalized weighted Besov type spaces on the Gegenbauer hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces. Obtained results are analogies of the results for generalized Bessel shifts obtained in the work [5].

Słowa kluczowe

EN

Gegenbauer transformations; Gegenbauer hypergroup; generalized Gegenbauer shifts operators; Besov spaces; generalized convolution

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: Vol 54, No. 1
• Strony: 95--128
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Ibrahimov E. J.

• Azerbaijan State Oil Academy Prosp. Azadliq, 20, Baku 370010

Bibliografia

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