ArticleOriginal scientific text

Title

Singular integrals on the complex affine group

Authors 1, 2

Affiliations

  1. School of Mathematics, University of New South Wales, Sydney, New South Wales 2052, Australia
  2. Department of Mathematics, Chalmers University of Technology, and Göteborg University, S-412 96 Göteborg, Sweden

Bibliography

  1. Ph. Bougerol, Exemples de théorèmes locaux sur les groupes résolubles, Ann. Inst. H. Poincaré Probab. Statist. 19 (1983), 369-391.
  2. J.-L. Clerc, P. Eymard, J. Faraut, M. Raïs et R. Takahashi, Analyse harmonique, Cours du CIMPA, CIMPA/ICPAM, Nice, 1982.
  3. M. Cowling, G. Gaudry, S. Giulini and G. Mauceri, Weak type (1,1) estimates for heat kernel maximal functions on Lie groups, Trans. Amer. Math. Soc. 323 (1991), 637-649.
  4. P. Crepel, Récurrence des marches aléatoires sur les groupes de Lie, in: Théorie ergodique (Rennes 1973/74), Lecture Notes in Math. 532, Springer, 1976, 50-69.
  5. E. B. Davies, Heat Kernels and Semigroups, Cambridge Univ. Press, 1989.
  6. G. I. Gaudry, T. Qian and P. Sjögren, Singular integrals related to the Laplacian on the affine group ax+b, Ark. Mat. 30 (1992), 259-281.
  7. G. Gaudry and P. Sjögren, Singular integrals on Iwasawa NA groups of rank 1, J. Reine Angew. Math. 479 (1996), 39-66.
  8. G. Mackey, The Theory of Unitary Group Representations, Univ. of Chicago Press, 1976.
  9. N. Th. Varopoulos, Estimations du noyau de la chaleur sur les groupes de Lie, C. R. Acad. Sci. Paris Sér. I Math. 315 (1992), 969-971.
  10. N. Th. Varopoulos, T. Coulhon and L. Saloff-Coste, Analysis and Geometry on Groups, Cambridge Univ. Press, 1992.
Pages:
133-148
Main language of publication
English
Received
1996-08-14
Accepted
1997-04-03
Published
1998
Exact and natural sciences