The heat equation for the generalized Hermite and the generalized Landau operators
Stimulated by the paper [\textit{M. W. Wong}, Hokkaido Math. J. 34, No.~2, 393--404 (2005; Zbl 1084.35027)], the author gives a representation of the strongly continuous semigroups generated by a class of generalized Hermite operators. A similar result is also given for the strongly continuous semigroups generated by some generalized Landau operators based on the work [\textit{M. A. de Gosson}, Commun. Partial Differ. Equations 33, No.~11, 2096--2104 (2008; Zbl 1159.35077)].
generalized Landau operatorsWeyl transform
one-parameter strongly continuous semigroup
scientific article; zbMATH DE number 5774242