Pseudo-differential operators associated with the Jacobi differential operator and Fourier-cosine wavelet transform
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Publication:5247075
DOI10.1142/S1793557115500102zbMath1484.47078OpenAlexW2154588352MaRDI QIDQ5247075
Akhilesh Prasad, Manoj Kumar Singh
Publication date: 22 April 2015
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557115500102
pseudo-differential operatorSobolev type spaceFourier-Jacobi transformFourier-cosine wavelet transformJacobi wavelet transform
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Pseudodifferential operators (47G30)
Related Items (6)
Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform ⋮ Integral representations of pseudo-differential operator associated with the Jacobi differential operator ⋮ Wavelet transforms associated with the Kontorovich–Lebedev transform ⋮ Local Price uncertainty principle and time-frequency localization operators for the Hankel–Stockwell transform ⋮ Pseudo-differential operators involving Fractional Fourier cosine (sine) transform ⋮ Composition of pseudo-differential operators associated with Kontorovich–Lebedev transform
Cites Work
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- Jacobi functions: the addition formula and the positivity of the dual convolution structure
- Pseudo-differential operators associated with the Jacobi differential operator
- Convolution semigroups and central limit theorem associated with a dual convolution structure
- Continuous and discrete Bessel wavelet transforms.
- Hypoelliptic Jacobi convolution operators on Schwartz distributions
- Paley-Wiener type theorems for a differential operator connected with symmetric spaces
- The convolution structure for Jacobi function expansions
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