Non-homeomorphic nilmanifolds with identical unitary spectrum

Journal of Functional Analysis

Volumn 144, Issue 2, 1997, Pages 424-447

  Vijayan, Colathur R ^a  

^a Department of Biology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031092236     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.3009     Document Type: Article

References (9)

1. L. J. Corwin, F. P. Greenleaf, 1990, Representations of Nilpotent Lie Groups and Their Applications, Part I: Basic Theory and Examples, Cambridge Univ. Press.
2. Gornet R. Equivalence of quasi-regular representations of two and three-step nilpotent Lie groups. J. Funct. Anal. 119:1994;121-137.
3. Gelfand, Graev, Pyatetskii-Shapiro. Representation Theory and Automorphic Functions. 1969;Saunders, Philadelphia.
4. Howe R. On Frobenius reciprocity for unipotent algebraic groups overQ. Amer. J. Math. 93:1971;163-172.
5. Malcev A. I. On a class of homogeneous spaces. Amer. Math. Soc. Transl. 39:1951.
6. Moore C. C., Wolf J. A. Square integrable representations of nilpotent groups. Trans. Amer. Math. Soc. 185:1973;445-462.
7. L. S. Pontriagin, 1966, Topological Groups, Gordon and Breach, New York.
8. R. R. Park, A Paley - Wiener theorem for all two and three-step nilpotent Lie groups, J. Funct. Anal.
9. 2. Amer. J. Math. 93:1971;173-190.