The heat semigroup and integrability of Lie algebras

DOI10.1016/0022-1236(88)90018-3zbMath0662.22009OpenAlexW2044577689MaRDI QIDQ1113298

Ola Bratteli, Derek W. Robinson, Frederick M. Goodman, Palle E. T. Jorgensen

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90018-3

zbMATH Keywords

heat equationHeisenberg algebraBanach spaceheat kernelLaplacianregular representationcontinuous representationclosed operatorsfinite-dimensional Lie algebrasimply connected Lie groupdifferential representation

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (9)

The heat semigroup and integrability of Lie algebras: Lipschitz spaces and smoothness properties ⋮ Heat kernels on Lie groups ⋮ Projective analytic vectors and infinitesimal generators ⋮ Lipschitz operators ⋮ Elliptic differential operators on Lie groups ⋮ Second-Order Elliptic Operators and Heat Kernels on Lie Groups ⋮ Comparison of Commuting One-Parameter Groups of Isometries ⋮ Conservative derivations and dissipative Laplacians ⋮ Lie groups and Lipschitz spaces

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