Functional Calculus in Weighted Group Algebras

  • Jacek Dziubanski
  • Jean Ludwig
  • Carine Molitor-braun
DOI: https://doi.org/10.5209/rev_REMA.2004.v17.n2.16725
Keywords: weight, weighted group algebra, functional calculus, Wiener property

Abstract

Let G be a compactly generated, locally compact group with polynomial growth and let ! be a weight on G. We look for general conditions on the weight which allow us to develop a functional calculus on a total part of L1(G, !). This functional calculus is then used to study harmonic analysis properties of L1(G, !), such as the Wiener property and Domar’s theorem.
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Published
2004-01-01
How to Cite
Dziubanski, J., Ludwig, J., & Molitor-braun, C. (2004). Functional Calculus in Weighted Group Algebras. Revista Matemática Complutense, 17(2), 321-357. https://doi.org/10.5209/rev_REMA.2004.v17.n2.16725
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Vol. 17 No. 2 (2004)
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