Functional Calculus in Weighted Group Algebras
Département de Mathématiques
Université de Metz |
|
Let
be a compactly generated, locally compact group with polynomial
growth and let
be a weight on
. We look for general conditions on
the weight which allow us to develop a functional calculus on a total part of
. This functional calculus is then used to study harmonic analysis
properties of
, such as the Wiener property and Domar’s theorem.
Key words: weight, weighted group algebra, functional calculus, Wiener property
2000 Mathematics Subject Classification: 43A20.