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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].
Wydawca
Czasopismo
Rocznik
Tom
Strony
95--128
Opis fizyczny
Bibliogr. 35 poz.
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autor
- Azerbaijan State Oil Academy Prosp. Azadliq, 20, Baku 370010
Bibliografia
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- [5] M. Assal, H. B. Abdallah, Generalised weighted Besov spaces on the Bessel hypergroup, Journal of Function spaces and Application, 4(9) (2006), 91-111.
- [6] M. Assal, H. Ben Abdallah, Generalized Besov Type Spaces on the Laguerre Hypergroup, Annales Mathematiques Blaise Pascal, 12 (2005), 117-145.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-259a3377-b106-4cb0-84d1-9b58e4bde6d8