Fractional wavelet frames in \(L^{2}(\mathbb{R})\)
From MaRDI portal
Publication:1799745
DOI10.1515/fca-2018-0023zbMath1402.42047OpenAlexW2807840356MaRDI QIDQ1799745
Lokenath Debnath, Firdous Ahmad Shah
Publication date: 19 October 2018
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2018-0023
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Fractional derivatives and integrals (26A33) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) General harmonic expansions, frames (42C15)
Related Items (6)
Fractional wave packet systems in L2(R) ⋮ Nonuniform multiresolution analysis associated with linear canonical transform ⋮ Clifford-valued wave-packet transform with applications to benchmark signals ⋮ AB-wavelet frames in L2(Rn) ⋮ Two-dimensional fractional shearlet transforms in \(L^2({\mathbb{R}}^2)\) ⋮ Fractional vector-valued nonuniform MRA and associated wavelet packets on \(L^2\big({\mathbb{R}},{\mathbb{C}}^M\big)\)
Cites Work
- A novel fractional wavelet transform and its applications
- A new fractional wavelet transform
- The generalized continuous wavelet transform associated with the fractional Fourier transform
- Wavelet Transforms and Their Applications
- Inequalities for Wavelet Frames
- Dyadic wavelet frames on a half-line using the Walsh–Fourier transform
- The Fractional Order Fourier Transform and its Application to Quantum Mechanics
- Ten Lectures on Wavelets
- Inequalities of Littlewood–Paley Type for Frames and Wavelets
- Generalized wavelet frames
- Lecture Notes on Wavelet Transforms
- Sufficient Conditions for Irregular Wavelet Frames
- An introduction to frames and Riesz bases
This page was built for publication: Fractional wavelet frames in \(L^{2}(\mathbb{R})\)
