Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators

Assal, Miloud, and Bouguila, Raouya. "Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators." Fractional Calculus and Applied Analysis 9.3 (2006): 237-245. <http://eudml.org/doc/11274>.

@article{Assal2006,
abstract = {2000 Mathematics Subject Classification: 35E45In 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.},
author = {Assal, Miloud, Bouguila, Raouya},
journal = {Fractional Calculus and Applied Analysis},
keywords = {35E45},
language = {eng},
number = {3},
pages = {237-245},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators},
url = {http://eudml.org/doc/11274},
volume = {9},
year = {2006},
}

TY - JOUR
AU - Assal, Miloud
AU - Bouguila, Raouya
TI - Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators
JO - Fractional Calculus and Applied Analysis
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 9
IS - 3
SP - 237
EP - 245
AB - 2000 Mathematics Subject Classification: 35E45In 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.
LA - eng
KW - 35E45
UR - http://eudml.org/doc/11274
ER -