Duality in Segal-Bargmann spaces

DOI10.1016/j.jfa.2011.05.014zbMath1236.46021arXiv1211.6061OpenAlexW2060208044WikidataQ108369218 ScholiaQ108369218MaRDI QIDQ639530

William E. Gryc, Todd Kemp

Publication date: 22 September 2011

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

Full work available at URL: https://arxiv.org/abs/1211.6061

zbMATH Keywords

integral operatorsSegal-Bargmann spaces

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (7)

Study of twisted Bargmann transform via Bargmann transform ⋮ Fredholmness of Toeplitz operators on the Fock space ⋮ Beurling-type density criteria for system identification ⋮ Sharp constant for the Bergman projection onto the minimal Möbius invariant space ⋮ On sharp constants for dual Segal-Bargmann \(L^p\) spaces ⋮ Fock-Sobolev spaces and their Carleson measures ⋮ Atomic decomposition for the harmonic Fock spaces in the plane

Cites Work

• Unnamed Item
• Unnamed Item
• Gaussian kernels have only Gaussian maximizers
• Hankel forms and the Fock space
• Some integral identities and inequalities for entire functions and their application to the coherent state transform
• Integral operators induced by the Fock kernel
• Construction of nonlinear local quantum processes. I
• On a Hilbert space of analytic functions and an associated integral transform part I
• Matrix Analysis

This page was built for publication: Duality in Segal-Bargmann spaces