Quantum Hermite functions and a Fourier transform for operators | Vidéo | Carmin.tv

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Quantum Hermite functions and a Fourier transform for operators

By Sundaram Thangavelu

Appears in collection : Representation theory and analysis on homogeneous spaces / Théorie des représentations et Analyse sur les espaces homogènes

Using an irreducible unitary representation of the twisted Heisenberg group acting on twisted Fock spaces we define a Fourier transform on the space of all Hilbert–Schmidt operators acting on $L^{2}(\mathbb{R}^{n})$. We describe some of the main features of this transform including an analogue of Hardy's theorem.

Information about the video

Date of recording 30/09/2026
Date of publication 30/10/2026
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20537803
Cite this video Thangavelu, Sundaram (30/09/2026). Quantum Hermite functions and a Fourier transform for operators. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20537803
URL https://dx.doi.org/10.24350/CIRM.V.20537803

Domain(s)

Functional Analysis

Bibliography

GARG, Rahul et THANGAVELU, Sundaram. Quantum Hermite functions and Fourier Transform of operators. arXiv preprint arXiv:2602.12626, 2026. - https://doi.org/10.48550/arXiv.2602.12626
GARG, Rahul et THANGAVELU, Sundaram. Boundedness of certain linear operators on twisted Fock spaces: R. Garg, S. Thangavelu. Mathematische Zeitschrift, 2024, vol. 307, no 2, p. 39. - https://doi.org/10.1007/s00209-024-03500-0

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