On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
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Publication:2552575
DOI10.1016/0022-1236(72)90016-XzbMath0237.22013MaRDI QIDQ2552575
Publication date: 1972
Published in: Journal of Functional Analysis (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic vectors
- A theorem on the measurability of group-invariant operators
- Non-unitary dual spaces of groups
- An extension of a theorem of L. O'Raifeartaigh
- Nonlinear functions of weak processes. II
- Analytic composition kernels on Lie groups
- A class of operator algebras which are determined by groups
- Induced representation of locally compact groups. I
- Sur les représentations induites des groupes de Lie
- Representation of Elliptic Operators in an Enveloping Algebra
- SOME HOLOMORPHIC SEMI-GROUPS
- Sur Les Représentations Unitaires Des Groupes De Lie Nilpotents. III
- Infinite-dimensional group representations
- Analytic and Entire Vectors for Representations of Lie Groups
- THE ANALYSIS OF IRREDUCIBILITY IN THE CLASS OF ELEMENTARY REPRESENTATIONS OF A COMPLEX SEMISIMPLE LIE GROUP
- On Induced Representations
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