Besov spaces and function series on Lie groups II

• Autores: Leszek Skrzypczak
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 44, Fasc. 1-3, 1993, págs. 269-278
• Idioma: inglés
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• Resumen

  • In the paperweinvestigate the absolute convergence in the sup-norm of two-sided Harish-Chandra’s Fourier series of functions belonging to Zygmund-Hölder spaces defined on non-compact connected Lie groups.

• Referencias bibliográficas
  • T. Aubin, Nonlinear Analysis on Manifolds, Monge-Ampere Equations. Springer Verlag, New York, 1982.
  • Harish-Chandra, Discrete series for semi-simple Lie groups II, Acta Math. 116 (1966), 1–111.
  • J.F. Price, Lie Groups and Compact Groups, University Press, Cambridge 1979.
  • D.W. Robinson, Lie group and Lipschitz spaces, Duke J. Math. 57 (1988), 357–395.
  • D.W. Robinson, Lipschitz operators, J. Funct. Anal. 85 (1989), 179–211.
  • H.J. Schmeisser, H. Triebel, Topics in Fourier Analysis and Function Spaces, Wiley, Chichester 1987.
  • L. Skrzypczak, Besov Spaces and function series on Lie Group, Comment. Math. Univ. Carolinae 34 (1993), 193–147.
  • L. Skrzypczak, Traces of function spaces of $F^s\_{p,q}-B^s\_{p,q}$ type on submanifolds, Math. Nachr. 146 (1990), 137–147.
  • H. Triebel, Diffeomorphism properties and pointwise multiplier for function spaces, In: Function Spaces. Proc. Inter. Conf. Poznań 1986, Teubner-Texte,...
  • H. Triebel, Functions spaces on Lie groups, the Riemannian approach, J. London Math. Soc. 35 (1987), 327–338.
  • H. Triebel, How to measure smoothness of distributions on Riemannian symmetric manifolds and Lie groups? Zeitsch. Anal. ihre Anwend. 7 (1988),...
  • H. Triebel, Spaces of Besov-Hardy Sobolev type on complete Riemannian manifolds, Ark. Mat. 24 (1986), 299–337.
  • H. Triebel, Theory of function spaces, Birkhäuser, Basel 1983.
  • G. Warner, Harmonic Analysis on Semi-simple Lie groups I, Springer Verlag, Berlin 1972.