Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators


Autoria(s): Assal, Miloud; Bouguila, Raouya
Data(s)

29/08/2010

29/08/2010

2006

Resumo

2000 Mathematics Subject Classification: 35E45

In this paper we study generalized Sobolev spaces H^sG of exponential type associated with the Dunkl operators based on the space G of test functions for generalized hyperfunctions and investigate their properties. Moreover, we introduce a class of symbols of exponential type and their associated pseudodifferential operators related to the Dunkl operators, which act naturally on H^sG.

Identificador

Fractional Calculus and Applied Analysis, Vol. 9, No 3, (2006), 237p-245p

1311-0454

http://hdl.handle.net/10525/1281

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Dunkl Operators #Pseudodifferential Operator #Sobolev Spaces #35E45
Tipo

Article