Square-integrability of metaplectic wave-packet representations on \(L^2(\mathbb{R})\)
From MaRDI portal
Publication:504898
DOI10.1016/j.jmaa.2016.12.033zbMath1359.42017OpenAlexW2566525240MaRDI QIDQ504898
Publication date: 17 January 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.12.033
metaplectic operatorsmetaplectic wave-packet groupmetaplectic wave-packet representationmetaplectic wave-packet transformspecial linear group \(\mathrm{SL}(2, \mathbb{R})\)wavelet (Gabor) transform
Related Items (8)
Operator-valued continuous Gabor transforms over non-unimodular locally compact groups ⋮ Convolution theorems for the free metaplectic transformation and its application ⋮ Abstract relative Gabor transforms over canonical homogeneous spaces of semidirect product groups with Abelian normal factor ⋮ Theoretical frame properties of wave-packet matrices over prime fields ⋮ Square-integrability of multivariate metaplectic wave-packet representations ⋮ Manufacturing pairs of woven frames applying duality principle on Hilbert spaces ⋮ Fourier-Zernike series of compactly supported convolutions on \(SE(2)\) ⋮ Existence of representation frames based on wave packet groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Coherent states, wavelets, and their generalizations
- Zak transform for semidirect product of locally compact groups
- Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms
- Banach spaces related to integrable group representations and their atomic decompositions. I
- Lectures on Gaussian integral operators and classical groups
- Fractional processes and fractional-order signal processing. Techniques and applications
- Abstract harmonic analysis of wave-packet transforms over locally compact abelian groups
- Banach spaces related to integrable group representations and their atomic decompositions. II
- The geometry of sets of parameters of wave packet frames
- Wave packet transforms over finite cyclic groups
- Linear canonical transforms. Theory and applications
- Frame properties of wave packet systems in \(L^2({\mathbb R}^d)\)
- Metaplectic operators for finite Abelian groups and \(\mathbb R^d\)
- Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
- Foundations of time-frequency analysis
- Abstract harmonic analysis of continuous wavelet transforms
- Continuous Gabor transform for a class of non-abelian groups
- Relative convolutions. I: Properties and applications
- Wavelets in Banach spaces
- Signal processing by alternate dual Gabor frames
- Generalized Weyl-Heisenberg (GWH) groups
- On the square integrability of quasi regular representation on semidirect product groups
- Continuous partial Gabor transform for semi-direct product of locally compact groups
- Calculus of operators: covariant transform and relative convolutions
- Symplectic geometry and quantum mechanics
- Linear Canonical Transforms on Quantum States of Light
- Operator covariant transform and local principle
- Geometry of Möbius Transformations
- Wave Packet Transform over Finite Fields
- Symplectic Methods in Harmonic Analysis and in Mathematical Physics
- Transforms associated to square integrable group representations. I. General results
- Harmonic analysis of the de Rham complex on the sphere.
- Wavelets associated with representations of the affine Weyl–Heisenberg group
- Continuous and Discrete Wavelet Transforms
- Wavelets from Square-Integrable Representations
- Wavelets beyond admissibility
- Cyclic wave packet transform on finite Abelian groups of prime order
- METAPLECTIC OPERATORS ON Cn
This page was built for publication: Square-integrability of metaplectic wave-packet representations on \(L^2(\mathbb{R})\)
