Abelian theorems for fractional wavelet transform

DOI10.1142/S179355711750019XzbMath1376.42053MaRDI QIDQ2979779

Akhilesh Prasad, Praveen Kumar

Publication date: 26 April 2017

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformtempered distributionsfractional Fourier transformfractional wavelet transformabelian theorems

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Numerical methods for wavelets (65T60) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Linear operators on function spaces (general) (47B38)

Related Items (3)

Abelian theorems for quadratic-phase Fourier wavelet transform ⋮ Unnamed Item ⋮ Abelian theorems and Calderón's reproducing formula for linear canonical wavelet transform

Cites Work

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• A novel fractional wavelet transform and its applications
• Asymptotic expansions of the wavelet transform for large and small values of \(b\)
• Abelian theorems for one sided Laplace Hardy transformations
• Distributional Abelian theorems for the generalized Stieltjes transform
• Namias' fractional Fourier transforms on \(L^ 2\) and applications to differential equations
• Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator
• Product of two generalized pseudo-differential operators involving fractional Fourier transform
• The generalized continuous wavelet transform associated with the fractional Fourier transform
• Fractional fourier transform of generalized functions
• NewL^p-boundedness properties for the Kontorovich–Lebedev and Mehler–Fock transforms

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