Transformation de Fourier des distributions de type positif sur un groupe de Lie unimodulaire

DOI10.1016/0022-1236(84)90011-9zbMath0531.43001OpenAlexW1988266790MaRDI QIDQ788236

Pierre Bonnet

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90011-9

zbMATH Keywords

Bochner theoremoperator valued measure\(C^{\infty}\) vectordistribution of positive typeinfinitesimal representation

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

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Résolubilité d'équations différentielles et représentation induites. (Solubility of differential equations and induced representations) ⋮ Analysis of some monomial representations of exponential solvable Lie groups ⋮ A unified approach to concrete Plancherel theory of homogeneous spaces ⋮ Unnamed Item

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