Tuning co- and contra-variant transforms: the Heisenberg group illustration

DOI10.3842/SIGMA.2022.065zbMath1506.43005arXiv2105.13811OpenAlexW3169239474MaRDI QIDQ2674840

Amerah A. Al Ameer, G.V.P.Khmelevskaya

Publication date: 14 September 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13811

zbMATH Keywords

Heisenberg groupcoherent statesZak transformcovariant transformFock-Segal-Bargmann space

Mathematics Subject Classification ID

Coherent states (81R30) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80)

Related Items

Transmutations from the covariant transform on the Heisenberg group and an extended umbral principle ⋮ Metamorphism as a covariant transform for the SSR group ⋮ Cross-Toeplitz operators on the Fock-Segal-Bargmann spaces and two-sided convolutions on the Heisenberg group

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