Rational subspaces of induced representations and nilmanifolds
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- by R. Penney PDF
- Trans. Amer. Math. Soc. 246 (1978), 439-450 Request permission
Abstract:
Recently, Auslander and Brezin developed a technique of distinguishing between certain unitarily equivalent irreducible subspaces of ${L^2}$ of the Heisenberg nilmanifold. In this paper we extend the Auslander-Brezin technique to arbitrary induced representations of arbitrary locally compact groups. We then return to nilmanifolds, showing that the existence of a βniceβ theory of distinguished subspaces is equivalent to the existence of square integrable representations for the group.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 246 (1978), 439-450
- MSC: Primary 22D10; Secondary 22E27
- DOI: https://doi.org/10.1090/S0002-9947-1978-0515550-X
- MathSciNet review: 515550