Spectrum of Functions for the Dunkl Transform on R^d

Mejjaoli, 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 -