Diagonalization of Weyl transforms and heat equations for time-dependent Hermite operators

DOI10.1007/s11785-009-0028-yzbMath1217.35090OpenAlexW2021197899MaRDI QIDQ537671

Shahla Molahajloo, Man-Wah Wong

Publication date: 20 May 2011

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-009-0028-y

zbMATH Keywords

Fock spaceBargmann transforms

Mathematics Subject Classification ID

Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Pseudodifferential operators (47G30)

Related Items (5)

\( Q_\alpha^{- 1}\) spaces for Hermite operator and their applications in a class of Hermite-dissipative equations ⋮ Images of some subspaces of \(L^2(\mathbb{R}^m)\) under Grushin and Hermite semigroup ⋮ Capacity \& perimeter from \(\alpha\)-Hermite bounded variation ⋮ Weyl transforms and solutions to Schrödinger equations for time-dependent Hermite operators ⋮ Sobolev and variational capacities in the Hermite setting and their applications

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