An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform

Mejjaoli, Hatem. "An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform." Fractional Calculus and Applied Analysis 9.3 (2006): 247-264. <http://eudml.org/doc/11276>.

@article{Mejjaoli2006,
abstract = {Mathematics Subject Classification: Primary 35R10, Secondary 44A15We establish an analogue of Beurling-Hörmander’s theorem for the Dunkl-Bessel transform FD,B on R(d+1,+). We deduce an analogue of Gelfand-Shilov, Hardy, Cowling-Price and Morgan theorems on R(d+1,+) by using the heat kernel associated to the Dunkl-Bessel-Laplace operator.},
author = {Mejjaoli, Hatem},
journal = {Fractional Calculus and Applied Analysis},
keywords = {35R10; 44A15},
language = {eng},
number = {3},
pages = {247-264},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform},
url = {http://eudml.org/doc/11276},
volume = {9},
year = {2006},
}

TY - JOUR
AU - Mejjaoli, Hatem
TI - An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform
JO - Fractional Calculus and Applied Analysis
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 9
IS - 3
SP - 247
EP - 264
AB - Mathematics Subject Classification: Primary 35R10, Secondary 44A15We establish an analogue of Beurling-Hörmander’s theorem for the Dunkl-Bessel transform FD,B on R(d+1,+). We deduce an analogue of Gelfand-Shilov, Hardy, Cowling-Price and Morgan theorems on R(d+1,+) by using the heat kernel associated to the Dunkl-Bessel-Laplace operator.
LA - eng
KW - 35R10; 44A15
UR - http://eudml.org/doc/11276
ER -