On the reproducing kernel of the Segal-Bargmann space

DOI10.1063/1.532824zbMath0953.46016OpenAlexW1979853397MaRDI QIDQ4701811

Stephen Bruce Sontz

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532824

zbMATH Keywords

operator normGaussian measureSegal-Bargmann spaceintegral kernelHille-Tamarkin norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Applications of operator theory in the physical sciences (47N50) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Linear operators on function spaces (general) (47B38) Applications of functional analysis in quantum physics (46N50) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Banach spaces of continuous, differentiable or analytic functions (46E15) Kernel operators (47B34) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (2)

DIRECT AND REVERSE LOG-SOBOLEV INEQUALITIES IN μ-DEFORMED SEGAL–BARGMANN ANALYSIS ⋮ A reverse log-Sobolev inequality in the Segal-Bargmann space

Cites Work

• Gaussian kernels have only Gaussian maximizers
• On the theory of linear integral equations. II
• On a Hilbert space of analytic functions and an associated integral transform part I
• Entropy and the Segal-Bargmann transform
• Heat Flow and Berezin-Toeplitz Estimates
• A reverse log-Sobolev inequality in the Segal-Bargmann space

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