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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

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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

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  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

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