# 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

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topFitouhi, 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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