# Spectrum of Functions for the Dunkl Transform on R^d

Mejjaoli, Hatem; Trimèche, Khalifa

Fractional Calculus and Applied Analysis (2007)

- Volume: 10, Issue: 1, page 19-38
- ISSN: 1311-0454

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topMejjaoli, Hatem, and Trimèche, Khalifa. "Spectrum of Functions for the Dunkl Transform on R^d." Fractional Calculus and Applied Analysis 10.1 (2007): 19-38. <http://eudml.org/doc/11294>.

@article{Mejjaoli2007,

abstract = {Mathematics Subject Classification: 42B10In this paper, we establish real Paley-Wiener theorems for the Dunkl
transform on R^d. More precisely, we characterize the functions in the Schwartz space S(R^d) and in L^2k(R^d) whose Dunkl transform has bounded, unbounded, convex and nonconvex support.},

author = {Mejjaoli, Hatem, Trimèche, Khalifa},

journal = {Fractional Calculus and Applied Analysis},

keywords = {Dunkl Transform On R^d; Real Paley-Wiener Theorems; Dunkl transform; real Paley-Wiener theorem},

language = {eng},

number = {1},

pages = {19-38},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Spectrum of Functions for the Dunkl Transform on R^d},

url = {http://eudml.org/doc/11294},

volume = {10},

year = {2007},

}

TY - JOUR

AU - Mejjaoli, Hatem

AU - Trimèche, Khalifa

TI - Spectrum of Functions for the Dunkl Transform on R^d

JO - Fractional Calculus and Applied Analysis

PY - 2007

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 10

IS - 1

SP - 19

EP - 38

AB - Mathematics Subject Classification: 42B10In this paper, we establish real Paley-Wiener theorems for the Dunkl
transform on R^d. More precisely, we characterize the functions in the Schwartz space S(R^d) and in L^2k(R^d) whose Dunkl transform has bounded, unbounded, convex and nonconvex support.

LA - eng

KW - Dunkl Transform On R^d; Real Paley-Wiener Theorems; Dunkl transform; real Paley-Wiener theorem

UR - http://eudml.org/doc/11294

ER -

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