Polar decomposition and isometric integral transforms∗

DOI10.1080/10652460008819265zbMath0969.43008OpenAlexW2092348505MaRDI QIDQ4513751

Shun Long Luo

Publication date: 2 October 2001

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460008819265

zbMATH Keywords

Hilbert spacesoperatorcoherent statesheat semigrouppolar decompositionsisometrical integral transform

Mathematics Subject Classification ID

Coherent states (81R30) Linear operators on function spaces (general) (47B38) Other transforms and operators of Fourier type (43A32)

Related Items (2)

Unnamed Item ⋮ The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group

Cites Work

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• The Segal-Bargmann ``coherent state transform for compact Lie groups
• On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms
• On a Hilbert space of analytic functions and an associated integral transform part I
• Harmonic Analysis in Phase Space. (AM-122)
• On the Bargmann Transform and the Wigner Transform
• Mathematical Aspects of the Weyl Correspondence
• WICK AND ANTI-WICK OPERATOR SYMBOLS

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