Tohoku Mathematical Journal

Bochner-Riesz means on symmetric spaces

Christopher Meaney and Elena Prestini

Full-text: Open access

Article information

Tohoku Math. J. (2), Volume 50, Number 4 (1998), 557-570.

First available in Project Euclid: 3 May 2007

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 43A50: Convergence of Fourier series and of inverse transforms
Secondary: 22E30: Analysis on real and complex Lie groups [See also 33C80, 43-XX] 43A85: Analysis on homogeneous spaces 46M35: Abstract interpolation of topological vector spaces [See also 46B70]


Meaney, Christopher; Prestini, Elena. Bochner-Riesz means on symmetric spaces. Tohoku Math. J. (2) 50 (1998), no. 4, 557--570. doi:10.2748/tmj/1178224898.

Export citation


  • [1] M COWLING, The Kunze-Stein phenomenon, Ann of Math 107 (1978), 209-234
  • [2] S GIULINI AND G. MAUCERi, Almost everywhere convergence of Riesz means on certain noncompac symmetric spaces, Ann Mat Pura Appl 159 (1991), 357-369
  • [3] G H HARDY AND M. RIESZ, The general theory of Dirichlet's series, Camb Tracts in Maths an Physics 18 (1915), Cambridge Univ Press
  • [4] Y KANJIN, Convergence almost everywhere of Bochner-Riesz means for radial functions, Ann Sc Kanazawa Univ 25 (1988), 11-15
  • [5] C E KENIG, R J STANTON AND P. A TOMAS, Divergence of eigenfunction expansions, J Func Anal 46 (1982), 28-44
  • [6] C MEANEY AND E. PRESTINI, On almost everywhere convergence of the inverse spherical transfor for SL(2, R), Ark Mat 32 (1994), 195-211
  • [7] C MEANEY AND E. PRESTINI, On almost everywhere convergence of inverse spherical transforms o symmetric spaces, J Funct Anal 149 (1997), 277-304
  • [8] R. J. STANTON AND P. A TOMAS, Expansions for spherical functions on non-compact symmetric spaces, Acta Math 140 (1978), 251-276
  • [9] E M STEIN AND G WEISS, Fourier Analysis, Princeton Univ Press 197