Invariance of Fock spaces under the action of the Heisenberg group

DOI10.1016/j.bulsci.2011.04.002zbMath1236.30041OpenAlexW2001191633MaRDI QIDQ554229

K. H. Zhu

Publication date: 29 July 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2011.04.002

zbMATH Keywords

Heisenberg groupatomic decompositionreproducing kernelFock spacesGaussian measures

Mathematics Subject Classification ID

Bergman spaces and Fock spaces (30H20)

Related Items (3)

An application of a Diederich-Ohsawa theorem in characterizing some Hartogs domains ⋮ Cross-Toeplitz operators on the Fock-Segal-Bargmann spaces and two-sided convolutions on the Heisenberg group ⋮ Atomic decomposition for the harmonic Fock spaces in the plane

Cites Work

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• The uniqueness of the Dirichlet space among Möbius-invariant Hilbert spaces
• Hankel forms and the Fock space
• The $S^p$-criterion for Hankel forms on the Fock space, $0 < p < 1$.
• Mobius Invariant Hilbert Spaces of Holomorphic Functions in the Unit Ball of ℂ n
• Theory of Reproducing Kernels

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