Abelian theorems and Calderón's reproducing formula for linear canonical wavelet transform
DOI10.1007/s11868-021-00373-3zbMath1477.46046OpenAlexW3127815358MaRDI QIDQ2029995
Publication date: 4 June 2021
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-021-00373-3
tempered distributionSchwartz spacelinear canonical transformabelian theoremCalderón's formulalinear canonical wavelet transform
Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for wavelets (65T60) Other transforms and operators of Fourier type (43A32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Calderon's reproducing formula for Watson wavelet transform
- A novel fractional wavelet transform and its applications
- Calderón's reproducing formula for Hankel convolution
- Linear canonical transforms. Theory and applications
- The wavelet transform
- Abelian theorems for one sided Laplace Hardy transformations
- Distributional Abelian theorems for the generalized Stieltjes transform
- A family of pseudo-differential operators on the Schwartz space associated with the fractional Fourier transform
- Product of two generalized pseudo-differential operators involving fractional Fourier transform
- Calderón's reproducing formula and uncertainty principle for the continuous wavelet transform associated with the \(q\)-Bessel operator
- Approximation of linear canonical wavelet transform on the generalized Sobolev spaces
- The generalized continuous wavelet transform associated with the fractional Fourier transform
- A new class of abelian theorems for the Mehler-Fock transforms
- Abelian theorems for fractional wavelet transform
- Integrability of the continuum Bessel wavelet kernel
- The continuous fractional wavelet transform on generalized weighted Sobolev spaces
- Continuity and inversion of the wavelet transform
- Integrability of the continuum wavelet kernel
- The linear canonical wavelet transform on some function spaces
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- On the Range of Some Fractional Integrals
- Canonical Hankel wavelet transformation and Calderón’s reproducing formula
- Relations between fractional operations and time-frequency distributions, and their applications
- Intermediate spaces and interpolation, the complex method
- Linear Canonical Transformations and Their Unitary Representations
This page was built for publication: Abelian theorems and Calderón's reproducing formula for linear canonical wavelet transform