Pacific Journal of Mathematics

Some properties of distributions on Lie groups.

Leon Ehrenpreis

Article information

Source
Pacific J. Math., Volume 6, Number 4 (1956), 591-605.

Dates
First available in Project Euclid: 14 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1103043792

Mathematical Reviews number (MathSciNet)
MR0087891

Zentralblatt MATH identifier
0075.01701

Subjects
Primary: 17.0X

Citation

Ehrenpreis, Leon. Some properties of distributions on Lie groups. Pacific J. Math. 6 (1956), no. 4, 591--605. https://projecteuclid.org/euclid.pjm/1103043792


Export citation

References

  • [1] S. Banach, Theorie des operation lineaires, Warsaw, 1932.
  • [2] C. Chevalley, Theory of Lie groups, Princeton, 1946.
  • [3] J. Dieudonne, Recent developments in the theory of locally convex vector spaces, Bull. Amer. Math. Soc, 59 (1954), 495-512
  • [4] J. Dieudonne, La dualitedans les espaces (F) et (LF), Annales de lnstitut Fourier de Grenoble, 1 (1949), 61-101.
  • [5] L. Ehrenpreis, Theory of distributions for locally compact spaces, Columbia University Thesis (to appear in Memoirs Amer. Math. Soc.)
  • [6] L. Ehrenpreis, Analytic functionsand the Fourier transform of distributions,I, Ann. of Math., 63 (1956), 129-159.
  • [7] L. Ehrenpreis, Analytic functionsand the Fouriertransformof distributionsII, (to appear).
  • [8] L. Ehrenpreis, Some propertiesof the Fouriertransformon semi- simple Lie groups, (to appear).
  • [9] F. I. Mautner, Unitary representationsof locally compact groups I, Ann. of Math., 51 (1950), 1-25.
  • [10] F. I. Mautner, Unitary representationsof locally compact groups II, Ann. of Math., 52, (1950), 528-556.
  • [11] L. Pontrjagin, Topological groups, Princeton, 1939.
  • [12] G. de Rham and K. Kodaira, Harmonic integrals, The Institute for Advanced Study, 1950 (mimeographed).
  • [13] L. Schwartz, Theorie des distributions,vols. I and II, Paris, 1950-51.
  • [14] A. Weil, L'Integrationsdans les groupes topologiques et ses applications,Paris, 1940.