Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Singular invariant eigendistributions as characters


Authors: R. A. Herb and P. J. Sally Jr.
Journal: Bull. Amer. Math. Soc. 83 (1977), 252-254
MSC (1970): Primary 22E45
DOI: https://doi.org/10.1090/S0002-9904-1977-14287-0
MathSciNet review: 0480875
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Harish-Chandra, Discrete series for semisimple Lie groups. I, Acta Math. 113 (1965), 241-318. MR 36 #2744. MR 219665
  • 2. Harish-Chandra, Two theorems on semi-simple Lie groups, Ann. of Math. (2) 83 (1966), 74-128. MR 33 #2766. MR 194556
  • 3. R. A, Herb, Fourier inversion on semisimple Lie groups of real rank two, Thesis, Univ. of Washington, 1974.
  • 4. R. A, Herb, A uniqueness theorem for tempered invariant eigendistributions, Pacific J. Math. 67 (1967). MR 486319
  • 5. T. Hirai, Invariant eigendistributions of Laplace operators on real simple Lie groups. III (to appear).
  • 6. A. W. Knapp, Commutativity of interwining operators. II, Bull. Amer. Math. Soc. 82 (1976), 271-273. MR 407203
  • 7. A. W. Knapp and G. Zuckerman, Classification of irreducible tempered representations of semisimple Lie groups, Proc. Nat. Acad. Sci. U.S.A. 73 (1976), 2178-2180. MR 460545
  • 8. P. J. Sally and G. Warner, The Fourier transform on semisimple Lie groups of real rank one, Acta Math. 131 (1973), 1-26. MR 450461
  • 9. W. Schmid, On the characters of the discrete series, Invent. Math. 30 (1975), 47-144. MR 396854
  • 10. G. Warner, Harmonic analysis on semisimple Lie groups, Vols. I, II, Springer-Verlag, Berlin and New York, 1972.
  • 11. J. A. Wolf, Unitary representations on partially holomorphic cohomology spaces, Mem. Amer. Math. Soc. No. 138 (974).
  • 12. G. Zuckerman, Tensor products of infinite-dimensional and finite-dimensional representations of semisimple Lie groups (to appear).

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 22E45

Retrieve articles in all journals with MSC (1970): 22E45


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1977-14287-0

American Mathematical Society