Monatshefte für Mathematik

, Volume 87, Issue 3, pp 181–207 | Cite as

Banach convolution algebras of functions II

  • Hans G. Feichtinger
Article

Abstract

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.

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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

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

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