CONTINUOUS ACTION OF LIE GROUPS ON ℝn AND FRAMES

DOI10.1142/S0219691305000786zbMath1089.42023arXivmath/0304360WikidataQ115245532 ScholiaQ115245532MaRDI QIDQ5312601

Gestur Olafsson

Publication date: 1 September 2005

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304360

zbMATH Keywords

Lie groupswavelet transformframesreductive groupssquare integrable representations

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Harmonic analysis on homogeneous spaces (43A85)

Related Items (3)

Frames, biorthogonal dual and other properties associated with wavelet system on ℝ ⋮ Equivalence of the metaplectic representation with sums of wavelet representations for a class of subgroups of the symplectic group ⋮ MULTIRESOLUTION ANALYSIS AND HAAR WAVELETS ON THE PRODUCT OF HEISENBERG GROUP

Cites Work

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• Banach spaces related to integrable group representations and their atomic decompositions. I
• Arithmetic subgroups of algebraic groups
• Fourier and Poisson transformation associated to a semisimple symmetric space
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• Transforms associated to square integrable group representations. I. General results
• Painless nonorthogonal expansions
• Wavelet transforms and discrete frames associated to semidirect products
• Continuous wavelet transforms with Abelian dilation groups
• Continuous and Discrete Wavelet Transforms
• Wavelets from Square-Integrable Representations
• Wavelet frames and admissibility in higher dimensions

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