The heat equation for the generalized Hermite and the generalized Landau operators

DOI10.1007/s00020-009-1737-3zbMath1226.47043OpenAlexW2127932140MaRDI QIDQ989935

Viorel Catană

Publication date: 23 August 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-009-1737-3

zbMATH Keywords

Wigner transformFourier-Wigner transformgeneralized Hermite operatorsgeneralized Landau operatorsWeyl transformone-parameter strongly continuous semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Integral operators (47G10) Pseudodifferential operators (47G30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (2)

The Heat Kernel and Green Function of the Generalized Hermite Operator, and the Abstract Cauchy Problem for the Abstract Hermite Operator ⋮ On the local well-posedness of the nonlinear heat equation associated to the fractional Hermite operator in modulation spaces

Cites Work

• Unnamed Item
• Wavelet transforms and localization operators
• Symplectic geometry and quantum mechanics
• The heat equation for the Hermite operator on the Heisenberg group
• Spectral Properties of a Class of Generalized Landau Operators
• The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group

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