Inversions of Hermite Semigroup

DOI10.2307/2160320zbMath0804.47041OpenAlexW4236116457MaRDI QIDQ5288047

Du-Won Byun

Publication date: 30 August 1993

Full work available at URL: https://doi.org/10.2307/2160320

zbMATH Keywords

Gaussian measureinversionsHermite semigroup on the real line

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) Kernel functions in one complex variable and applications (30C40)

Related Items (9)

Study of twisted Bargmann transform via Bargmann transform ⋮ Frames in Hermite-Bergman and special Hermite-Bergman spaces ⋮ Segal–Bargmann transforms and holomorphic Sobolev spaces of fractional order ⋮ On the structure of analytic vectors for the Schrödinger representation ⋮ Heat kernel transform for nilmanifolds associated to the Heisenberg group ⋮ On the images of Sobolev spaces under the Schrödinger semigroup ⋮ Toeplitz operators with special symbols on Segal-Bargmann spaces ⋮ Image of \(L^{p}(\mathbb R^{n})\) under the Hermite semigroup ⋮ Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform

Cites Work

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• Integral transforms in Hilbert spaces
• Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup
• Inequalities in Fourier analysis
• The free Markoff field
• On a Hilbert space of analytic functions and an associated integral transform part I
• Hilbert Spaces Induced by Hilbert Space Valued Functions
• Theory of Reproducing Kernels

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