Fonctions sphériques associées à une mesure bornée, hermitienne et idempotente

Mohamed Akkouchi; Allal Bakali

Compositio Mathematica (1994)

  • Volume: 90, Issue: 3, page 245-266
  • ISSN: 0010-437X

How to cite

top

Akkouchi, Mohamed, and Bakali, Allal. "Fonctions sphériques associées à une mesure bornée, hermitienne et idempotente." Compositio Mathematica 90.3 (1994): 245-266. <http://eudml.org/doc/90274>.

@article{Akkouchi1994,
author = {Akkouchi, Mohamed, Bakali, Allal},
journal = {Compositio Mathematica},
keywords = {Gelfand measure; spherical function; Hermitian idempotent bounded complex measure},
language = {fre},
number = {3},
pages = {245-266},
publisher = {Kluwer Academic Publishers},
title = {Fonctions sphériques associées à une mesure bornée, hermitienne et idempotente},
url = {http://eudml.org/doc/90274},
volume = {90},
year = {1994},
}

TY - JOUR
AU - Akkouchi, Mohamed
AU - Bakali, Allal
TI - Fonctions sphériques associées à une mesure bornée, hermitienne et idempotente
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 90
IS - 3
SP - 245
EP - 266
LA - fre
KW - Gelfand measure; spherical function; Hermitian idempotent bounded complex measure
UR - http://eudml.org/doc/90274
ER -

References

top
  1. [A, B] Mohamed Akkouchi et Allal Bakali, Une généralisation des pairs de Guelfand, dans le B.U.M.I. (7) 6 -B(1992), 795-822. Zbl0788.43004MR1200735
  2. [Ba] A. Bakali, Analyse harmonique sur les groupes ax + b matriciels. Thèse d'etat. Université deNancy 1. 1984. 
  3. [D, M] M. Duflo et C.C. Moore, On the regular representation of a nonunimodular locally compact group. Journal of functional analysis, 21, 209-243 (1976). Zbl0317.43013MR393335
  4. [E] P. Eymard, On the Fourier transform for the ax + b group. Proceed. of Symposia in Pure Mathematics. Vol. XXXV, Part 2, 379-386 (1979). Zbl0415.43008MR545328
  5. [E, T] P. Eymard et M. Terp, La transformation de Fourier et son inverse sur le groupe ax + b d'un corps local. L.N.M. no. 739. Zbl0442.43014
  6. [Fa] J. Faraut, Analyse harmonique sur les espaces Riemanniens symétriques de rang un. Cours C.I.M.P.A., Univ. de Nancy1 (1980). 
  7. [Gaa] S.A. Gaal, Linear analysis and representation theory. Springer-Verlag, Berlin, 1973. Zbl0275.43008MR447465
  8. [Ga-Va] R. Gangolli et V.S. Varadarajan, Harmonic Analysis of Spherical functions on real Reductive Groups. Springer-Verlag, Berlin, 1988. Zbl0675.43004MR954385
  9. [Go] R. Godement, A Theory of Spherical Functions I. Trans. Am. Math. Soc.73, 496-536 (1952). Zbl0049.20103MR52444
  10. [He-Ro] E. Hewitt and K.A. Ross, Abstract Harmonic Analysis. Vol. I. Springer-Verlag, Berlin, 1979. Zbl0213.40103MR551496
  11. [Ri] D. Rider, Central idempotent measures on unitary groups. Can. J. Math., Vol. XXII, No. 4, 1970, pp. 719-725. Zbl0213.31401MR264333
  12. [Ru] W. Rudin, Fourier analysis on groups (Interscience, New York, 1962). Zbl0107.09603MR152834
  13. [Wa] G. Warner, Harmonic analysis on Semi-simple Lie Groups I-II. Springer-Verlag, Berlin, 1972. Zbl0265.22020MR498999

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.