Singular integrals on the complex affine group

Garth Gaudry; Peter Sjögren

Colloquium Mathematicae (1998)

  • Volume: 75, Issue: 1, page 133-148
  • ISSN: 0010-1354

How to cite

top

Gaudry, Garth, and Sjögren, Peter. "Singular integrals on the complex affine group." Colloquium Mathematicae 75.1 (1998): 133-148. <http://eudml.org/doc/210523>.

@article{Gaudry1998,
author = {Gaudry, Garth, Sjögren, Peter},
journal = {Colloquium Mathematicae},
keywords = {singular integrals; complex affine group; Lie algebra; right-invariant differential operators; Riesz operators; symmetric space},
language = {eng},
number = {1},
pages = {133-148},
title = {Singular integrals on the complex affine group},
url = {http://eudml.org/doc/210523},
volume = {75},
year = {1998},
}

TY - JOUR
AU - Gaudry, Garth
AU - Sjögren, Peter
TI - Singular integrals on the complex affine group
JO - Colloquium Mathematicae
PY - 1998
VL - 75
IS - 1
SP - 133
EP - 148
LA - eng
KW - singular integrals; complex affine group; Lie algebra; right-invariant differential operators; Riesz operators; symmetric space
UR - http://eudml.org/doc/210523
ER -

References

top
  1. [1] Ph. Bougerol, Exemples de théorèmes locaux sur les groupes résolubles, Ann. Inst. H. Poincaré Probab. Statist. 19 (1983), 369-391. Zbl0533.60010
  2. [2] J.-L. Clerc, P. Eymard, J. Faraut, M. Raïs et R. Takahashi, Analyse harmonique, Cours du CIMPA, CIMPA/ICPAM, Nice, 1982. 
  3. [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. Zbl0722.22006
  4. [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. [5] E. B. Davies, Heat Kernels and Semigroups, Cambridge Univ. Press, 1989. Zbl0699.35006
  6. [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. Zbl0776.43003
  7. [7] G. Gaudry and P. Sjögren, Singular integrals on Iwasawa NA groups of rank 1, J. Reine Angew. Math. 479 (1996), 39-66. Zbl0855.43010
  8. [8] G. Mackey, The Theory of Unitary Group Representations, Univ. of Chicago Press, 1976. Zbl0344.22002
  9. [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. [10] N. Th. Varopoulos, T. Coulhon and L. Saloff-Coste, Analysis and Geometry on Groups, Cambridge Univ. Press, 1992. Zbl0813.22003

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.