Das Syntheseproblem für invariante Distributionen

DOI10.1007/BF01389296zbMath0475.22009OpenAlexW2012968791MaRDI QIDQ1159778

Rainer Felix

Publication date: 1981

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142841

zbMATH Keywords

nilpotent Lie groupsHeisenberg groupscentral tempered distributionscharacters of unitary irreducible representations

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Measures on groups and semigroups, etc. (43A05) Nilpotent and solvable Lie groups (22E25) Spectral synthesis on groups, semigroups, etc. (43A45)

Related Items (4)

Solvability of Differential Equations with Linear Coefficients of Nilpotent Type ⋮ Lokale Auflösbarkeit von Differentialoperatoren erster Ordnung in einem kritischen Punkt. (Local solvability of first order differential operators in a critical point) ⋮ Zentrale Distributionen auf nilpotenten Liegruppen ⋮ Transformationsgruppen mit affinen Bahnen. (Transformation groups with affine orbits)

Cites Work

• Zerlegung von Distributionen, die unter einer unipotenten Gruppenoperation invariant sind
• Sur les distributions invariantes dans le groupe des rotations de Lorentz
• Sur la division de formes et de courants par une forme linéaire
• Sur Les Représentations Unitaires Des Groupes De Lie Nilpotents. III
• Distributions Invariant under an Orthogonal Group of Arbitrary Signature.
• Functions Which are Divergences
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