Monatshefte für Mathematik

, Volume 87, Issue 3, pp 181–207

Banach convolution algebras of functions II

  • Hans G. Feichtinger

DOI: 10.1007/BF01303075

Cite this article as:
Feichtinger, H.G. Monatshefte f#x00FC;r Mathematik (1979) 87: 181. doi:10.1007/BF01303075


LetG be a noncompact, locally compact group. By means of “generalized dyadic decompositions” ofG, translation invariant Banach spacesF(B, B, X) of (classes of) measurable functions onG are constructed, e. g. certain weighted amalgams ofLp-spaces. Basic properties of these spaces are derived and connections with spaces considered in the literature are indicated. As a main result, sufficient conditions are given which imply that a space of this type is a Banach algebra with respect to convolution.

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Hans G. Feichtinger
    • 1
  1. 1.Institut für Mathematik der Universität WienWienAustria