Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets

Fitouhi, Ahmed; Bettaibi, Néji; Binous, Wafa

Fractional Calculus and Applied Analysis (2007)

  • Volume: 10, Issue: 4, page 327-342
  • ISSN: 1311-0454

Abstract

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Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60This paper aims to study the q-wavelets and the continuous q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. Using the q-Riemann-Liouville and the q-Weyl transforms, we give some relations between the continuous q-wavelet transform, studied in [3], and the continuous q-wavelet transform associated with the q-Bessel operator, and we deduce formulas which give the inverse operators of the q-Riemann-Liouville and the q-Weyl transforms.

How to cite

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Fitouhi, Ahmed, Bettaibi, Néji, and Binous, Wafa. "Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets." Fractional Calculus and Applied Analysis 10.4 (2007): 327-342. <http://eudml.org/doc/11331>.

@article{Fitouhi2007,
abstract = {Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60This paper aims to study the q-wavelets and the continuous q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. Using the q-Riemann-Liouville and the q-Weyl transforms, we give some relations between the continuous q-wavelet transform, studied in [3], and the continuous q-wavelet transform associated with the q-Bessel operator, and we deduce formulas which give the inverse operators of the q-Riemann-Liouville and the q-Weyl transforms.},
author = {Fitouhi, Ahmed, Bettaibi, Néji, Binous, Wafa},
journal = {Fractional Calculus and Applied Analysis},
keywords = {42A38; 42C40; 33D15; 33D60},
language = {eng},
number = {4},
pages = {327-342},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets},
url = {http://eudml.org/doc/11331},
volume = {10},
year = {2007},
}

TY - JOUR
AU - Fitouhi, Ahmed
AU - Bettaibi, Néji
AU - Binous, Wafa
TI - Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets
JO - Fractional Calculus and Applied Analysis
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 10
IS - 4
SP - 327
EP - 342
AB - Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60This paper aims to study the q-wavelets and the continuous q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. Using the q-Riemann-Liouville and the q-Weyl transforms, we give some relations between the continuous q-wavelet transform, studied in [3], and the continuous q-wavelet transform associated with the q-Bessel operator, and we deduce formulas which give the inverse operators of the q-Riemann-Liouville and the q-Weyl transforms.
LA - eng
KW - 42A38; 42C40; 33D15; 33D60
UR - http://eudml.org/doc/11331
ER -

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