A composite Fourier-wavelet transform and square-integrable group representations

DOI10.1063/1.530849zbMath0874.22004OpenAlexW2056491434MaRDI QIDQ4318024

L. V. Denisov, Syed Twareque Ali

Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1063/1.530849

zbMATH Keywords

Fourier transformvon Neumann algebraHilbert spacewavelet transformlocally compact groupHilbert-Schmidt operatorsquantum probabilityWigner transformunitary irreducible representation

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Unitary representations of locally compact groups (22D10)

Cites Work

• Transforms associated to square integrable group representations. I. General results
• Infinitely Divisible Measurements in Quantum Probability Theory
• The wavelet transform, time-frequency localization and signal analysis

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