Wavelets and the Poincaré half-plane

DOI10.1063/1.530794zbMath0805.42020OpenAlexW2056552554MaRDI QIDQ4296103

R. F. Streater, John R. Klauder

Publication date: 18 July 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530794

zbMATH Keywords

waveletsholomorphic discrete seriesPoincaré complex upper half-planesquare-integrable signal

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Coherent states (81R30) Abstract harmonic analysis (43A99)

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Study of multiplication operator on \(\mathcal H_{\frac 12}\oplus \mathcal H_{-\frac 12}\) ⋮ Rational wavelet decompositions of transfer functions in Hardy-Sobolev classes ⋮ The density theorem for discrete series representations restricted to lattices

Cites Work

• A wavelet transform for the Poincaré group
• Square-integrable representations of non-unimodular groups
• Application of the Kirillov Theory to the Representations of O(2, 1)
• Continuous Representation Theory Using the Affine Group