An inequality for Fourier-Laplace transforms of entire functions, and the existence of exponential frames in Fock space

DOI10.1006/jfan.1996.3086zbMath0910.46019OpenAlexW2044206751MaRDI QIDQ1370394

Bo Berndtsson

Publication date: 15 December 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3086

zbMATH Keywords

HessianFourier-Laplace transformLegendre transformKähler formMonge-Ampère measuregeneralized Fock spacesexponential framesampling problem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items

Application of the fundamental principle to complex Cauchy problem ⋮ A Paley-Wiener theorem for convex sets in \({\mathbb{C}}^{n}\) ⋮ Bergman kernel asymptotics for generalized Fock spaces ⋮ Complex integrals and Kuperberg's proof of the Bourgain-Milman theorem ⋮ Strong hypercontractivity and relative subharmonicity

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