On the Range of the Fourier Transform Associated with the Spherical Mean Operator

Jelassi, M., and Rachdi, L.. "On the Range of the Fourier Transform Associated with the Spherical Mean Operator." Fractional Calculus and Applied Analysis 7.4 (2004): 339-402. <http://eudml.org/doc/11255>.

@article{Jelassi2004,
abstract = {We characterize the range of some spaces of functions by the Fourier transform associated with the spherical mean operator R and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schawrtz theorems.},
author = {Jelassi, M., Rachdi, L.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {42B35; 43A32; 35S30},
language = {eng},
number = {4},
pages = {339-402},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Range of the Fourier Transform Associated with the Spherical Mean Operator},
url = {http://eudml.org/doc/11255},
volume = {7},
year = {2004},
}

TY - JOUR
AU - Jelassi, M.
AU - Rachdi, L.
TI - On the Range of the Fourier Transform Associated with the Spherical Mean Operator
JO - Fractional Calculus and Applied Analysis
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 7
IS - 4
SP - 339
EP - 402
AB - We characterize the range of some spaces of functions by the Fourier transform associated with the spherical mean operator R and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schawrtz theorems.
LA - eng
KW - 42B35; 43A32; 35S30
UR - http://eudml.org/doc/11255
ER -