Wavelet packets on locally compact abelian groups.
Shah, Firdous Ahmad, Wahid, Abdul (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Shah, Firdous Ahmad, Wahid, Abdul (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Fitouhi, Ahmed, Bettaibi, Néji, Binous, Wafa (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60 This 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...
Cattani, Carlo (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Upadhyay, S.K., Yadav, R.N., Debnath, L. (2009)
Surveys in Mathematics and its Applications
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Navarro, Jaime (1998)
Revista Colombiana de Matemáticas
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Parsian, H. (2005)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Mourou, Mohamed Ali (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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R. Roopkumar (2009)
Colloquium Mathematicae
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We construct a new Boehmian space containing the space 𝓢̃'(ℝⁿ×ℝ₊) and define the extended wavelet transform 𝓦 of a new Boehmian as a tempered Boehmian. In analogy to the distributional wavelet transform, it is proved that the extended wavelet transform is linear, one-to-one, and continuous with respect to δ-convergence as well as Δ-convergence.
Schmeelk, John, Takači, Arpad (1997)
International Journal of Mathematics and Mathematical Sciences
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Rajeshwari Dubey, Aparna Vyas (2010)
Matematički Vesnik
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Cattani, Carlo, Ciancio, Armando (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Cornelia Kaiser, Lutz Weis (2008)
Studia Mathematica
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We extend the classical theory of the continuous and discrete wavelet transform to functions with values in UMD spaces. As a by-product we obtain equivalent norms on Bochner spaces in terms of g-functions.
Matthias Holschneider (1994)
Recherche Coopérative sur Programme n°25
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