Harmonic analysis on the affine group of the plane

DOI10.1007/s00041-023-10007-5zbMath1527.43006arXiv2112.10839OpenAlexW4376602514MaRDI QIDQ6103437

Raja Milad, Keith F. Taylor

Publication date: 5 June 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10839

zbMATH Keywords

affine groupsquare-integrable representationinduced representation

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Induced representations for locally compact groups (22D30)

Cites Work

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• Groups with Completely Reducible Regular Representation
• Continuous and Discrete Wavelet Transforms
• Wavelets from Square-Integrable Representations
• Wavelet frames and admissibility in higher dimensions
• The plancherel formula for group extensions

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