On the images of Sobolev spaces under the Schrödinger semigroup

DOI10.1515/apam-2016-0116zbMath1418.46018OpenAlexW2907094689MaRDI QIDQ669267

C. Sivaramakrishnan, Venku Naidu Dogga, Daniel Sukumar

Publication date: 15 March 2019

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2016-0116

zbMATH Keywords

Sobolev spaceweighted Bergman spaceBargmann transformSchrödinger semigroupholomorphic Sobolev space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

Sampling in the image of Sobolev space in \(L^2(\mathbb{R}, e^{u^2}du)\) under Schrödinger semigroup \(e^{it\Delta } \)

Cites Work

• Unnamed Item
• Unnamed Item
• The inverse Segal-Bargmann transform for compact Lie groups
• Holomorphic Sobolev spaces and the generalized Segal-Bargmann transform
• Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform
• An introduction to the uncertainty principle. Hardy's theorem on Lie groups. With a foreword by Gerald B. Folland
• Analyticity of the Schrödinger propagator on the Heisenberg group
• The heat kernel transform for the Heisenberg group
• On the images of Sobolev spaces under the heat kernel transform on the Heisenberg group
• On a Hilbert space of analytic functions and an associated integral transform part I
• Harmonic Analysis in Phase Space. (AM-122)
• Inversions of Hermite Semigroup

This page was built for publication: On the images of Sobolev spaces under the Schrödinger semigroup