Projective Lie algebra bases of a locally compact group and uniform differentiability

DOI10.1007/BF01230288zbMath0645.22002OpenAlexW2062811545WikidataQ115393821 ScholiaQ115393821MaRDI QIDQ1103057

Eike Born

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174008

zbMATH Keywords

Banach spacesLie algebralocally compact groupprojective basistestfunctionsuniformly differentiable functions

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General properties and structure of locally compact groups (22D05)

Related Items (10)

An explicit Lévy-Hinčin formula for convolution semigroups on locally compact groups ⋮ Perturbation results concerning Gaussian estimates and hypoellipticity for left-invariant Laplacians on compact groups ⋮ Invariant local Dirichlet forms on locally compact groups ⋮ Spaces of smooth functions and distributions on infinite-dimensional compact groups ⋮ Gaussian bounds for derivatives of central Gaussian semigroups on compact groups ⋮ Central Gaussian semigroups of measures with continuous density ⋮ Hemigroups of probability measures on a locally compact group ⋮ CENTRAL GAUSSIAN CONVOLUTION SEMIGROUPS ON COMPACT GROUPS: A SURVEY ⋮ GENERAL SOLUTION OF THE FUNCTIONAL CENTRAL LIMIT PROBLEMS ON A LIE GROUP ⋮ Structure of differential operators on a locally compact abelian group

Cites Work

• Lie algebras of locally compact groups
• Spaces of differentiable functions on compact groups
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
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