Analyse harmonique sur les espaces symétriques nilpotents
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Publication:760631
DOI10.1016/0022-1236(84)90073-9zbMath0555.43012OpenAlexW1984955153MaRDI QIDQ760631
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)90073-9
Plancherel formulaunitary representationssymmetric spaceinvariant differential operatorpositive definite distributionsquasi regular representation
Fundamental solutions to PDEs (35A08) Harmonic analysis on homogeneous spaces (43A85) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)
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Cites Work
- Abstract Plancherel theorems and a Frobenius reciprocity theorem
- A general character formula for irreducible projections on \(L^2\) of a nilmanifold
- The analytic continuation of generalized functions with respect to a parameter
- Transformation groups and \(C^ *\)-algebras
- On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
- UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
- Multiplicité un pour les espaces symétriques exponentiels
- Opérateurs différentiels invariants sur un espace homogène
- Distributions centrales de type positif sur un groupe de Lie nilpotent
- Resolution of Singularities and Division of Distributions
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