Wavelet transform on the torus: a group theoretical approach
DOI10.1016/j.acha.2014.03.001zbMath1309.42046arXiv1310.8543OpenAlexW3106529697MaRDI QIDQ466972
Daniela Roşca, Manuel Calixto, Julio Guerrero
Publication date: 3 November 2014
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.8543
continuous wavelet transform on the spherecontinuous wavelet transform on the torusharmonic analysis on groupsmodular transformations on the torustensor representation of wavelets
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral transforms of special functions (44A20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantization of pseudo-differential operators on the torus
- Wavelet analysis on some surfaces of revolution via area preserving projection
- Wavelet transform on the circle and the real line: a unified group-theoretical treatment
- Painless Gabor expansions on homogeneous manifolds
- Wavelets on discrete fields
- A characterization of functions that generate wavelet and related expansion
- Abstract harmonic analysis of continuous wavelet transforms
- Wavelets on the 2-sphere: A group-theoretical approach
- Smooth tight frame wavelets and image microanalysis in the Fourier domain
- Wavelets on the sphere: implementation and approximations
- Algebraic quantization, good operators and fractional quantum numbers
- Coherent states, wavelets and their generalizations
- Wavelet transform on manifolds: old and new approaches
- Continuous wavelet transform on the hyperboloid
- Continuous curvelet transform. II: Discretization and frames
- Stereographic wavelet frames on the sphere
- Frames and semi-frames
- Transforms associated to square integrable group representations. I. General results
- Modular invariance on the torus and Abelian Chern–Simons theory
- Wavelets on the n-sphere and related manifolds
- On Hilbert, Fourier, and wavelet transforms
- Continuous wavelet transforms on the sphere
- Wavelets
- An introduction to frames and Riesz bases
