Représentations de semi-groupes de mesures sur un groupe localement compact

DOI10.5802/aif.712zbMath0368.22006OpenAlexW2322944413MaRDI QIDQ1243005

Michel Duflo

Publication date: 1978

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1978__28_3_225_0

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Analysis on real and complex Lie groups (22E30) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (17)

The algebra of Calderón-Zygmund kernels on a homogeneous group is inverse-closed ⋮ The Lévy-Khintchine-formula for dissipative distributions ⋮ Invariant dissipative operators on locally compact groups ⋮ Hypergroups and hypergroup algebras ⋮ Asymptotic behavior of the transition density for jump type processes in small time ⋮ Unnamed Item ⋮ The Rockland condition for nondifferential convolution operators ⋮ Asymptotic behaviour of densities of stable semigroups of measures ⋮ Continuous convolution semigroups integrating a submultiplicative function ⋮ Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups ⋮ Invertibility of convolution operators on homogeneous groups groups ⋮ Convergence of semigroups of complex measures on a Lie group ⋮ Fermeture des opérateurs dissipatifs invariants. (Closure of invariant dissipative operators) ⋮ Mehler semigroups, Ornstein-Uhlenbeck processes and background driving Lévy processes on locally compact groups and on hypergroups ⋮ Die Existenz einer Lévy-Abbildung auf einem homogenen Raum ⋮ Classical theorems of probability on Gelfand pairs -- Khinchin's theorem and Cramér's theorem ⋮ Semigroups of measures in non-commutative harmonic analysis

Cites Work

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• Familles résolvantes, générateurs, cogénérateurs, potentiels
• On the generation of semigroups of linear operators
• Semi-Groups of Measures on Lie Groups
• Representation of Elliptic Operators in an Enveloping Algebra
• Behavior of diffusion semi-groups at infinity
• Subalgebra of $L_1(G)$ associated with Laplacian on a Lie group
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
• [https://portal.mardi4nfdi.de/wiki/Publication:5653396 �ber die L�vy-Hin?in-Formel auf lokalkompakten topologischen Gruppen]

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