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

Fractional Calculus and Applied Analysis (2006)

- Volume: 9, Issue: 3, page 247-264
- ISSN: 1311-0454

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topMejjaoli, 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 -

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