Abstract relative Gabor transforms over canonical homogeneous spaces of semidirect product groups with Abelian normal factor
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Publication:5356933
DOI10.1142/S0219530517500075zbMath1372.43006MaRDI QIDQ5356933
Publication date: 12 September 2017
Published in: Analysis and Applications (Search for Journal in Brave)
Gabor transformtime-frequency analysisdual groupsemi-direct product grouprho-functiondual homogeneous spacecanonical homogeneous space (left coset space)
Harmonic analysis on homogeneous spaces (43A85) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)
Related Items (3)
Abstract Banach convolution function modules over coset spaces of compact subgroups in locally compact groups ⋮ Abstract measure algebras over homogeneous spaces of compact groups ⋮ Fourier-Stieltjes transforms over homogeneous spaces of compact groups
Cites Work
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- Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms
- Square-integrability of metaplectic wave-packet representations on \(L^2(\mathbb{R})\)
- Functions of variable bandwidth via time-frequency analysis tools
- Abstract harmonic analysis of wave-packet transforms over locally compact abelian groups
- Painless Gabor expansions on homogeneous manifolds
- Gabor analysis over finite Abelian groups
- Foundations of time-frequency analysis
- Connection between two-sided and one-sided convolution type operators on non-commutative groups
- Continuous Gabor transform for a class of non-abelian groups
- The continuous Zak transform and generalized Gabor frames
- Relative convolutions. I: Properties and applications
- Signal processing by alternate dual Gabor frames
- On the square integrability of quasi regular representation on semidirect product groups
- Continuous partial Gabor transform for semi-direct product of locally compact groups
- Image processing by alternate dual Gabor frames
- Calculus of operators: covariant transform and relative convolutions
- Operator covariant transform and local principle
- ABSTRACT RELATIVE FOURIER TRANSFORMS OVER CANONICAL HOMOGENEOUS SPACES OF SEMI-DIRECT PRODUCT GROUPS WITH ABELIAN NORMAL FACTOR
- ABSTRACT HARMONIC ANALYSIS OF RELATIVE CONVOLUTIONS OVER CANONICAL HOMOGENEOUS SPACES OF SEMIDIRECT PRODUCT GROUPS
- Square-integrability of multivariate metaplectic wave-packet representations
- Geometry of Möbius Transformations
- Continuous and Discrete Wavelet Transforms
- Gabor Frames in Finite Dimensions
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