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

Fractional Calculus and Applied Analysis (2004)

- Volume: 7, Issue: 4, page 339-402
- ISSN: 1311-0454

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topJelassi, 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 -

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