Eigenfunction Expansions Associated with the Second-Order Invariant Operator on Hyperboloids and Cones. III
- 1 May 1967
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (5), 1079-1093
- https://doi.org/10.1063/1.1705320
Abstract
The eigenfunction expansions associated with the second‐order invariant operator on hyperboloids and cones are derived. The global unitary irreducible representations of the SO0(p, q) groups related to hyperboloids and cones are obtained. The decomposition of the quasi‐regular representations into the irreducible ones is given and the connection with the Mautner theorem and nuclear spectral theory is discussed.Keywords
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