Functional calculus in weighted group algebras.

Dziubanski, Jacek, Ludwig, Jean, and Molitor-Braun, Carine. "Functional calculus in weighted group algebras.." Revista Matemática Complutense 17.2 (2004): 321-357. <http://eudml.org/doc/44493>.

@article{Dziubanski2004,
abstract = {Let G be a compactly generated, locally compact group with polynomial growth and let ω 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,ω). This functional calculus is then used to study harmonic analysis properties of L1(G,ω), such as the Wiener property and Domar's theorem.},
author = {Dziubanski, Jacek, Ludwig, Jean, Molitor-Braun, Carine},
journal = {Revista Matemática Complutense},
keywords = {Cálculo funcional; Algebra de grupo; Análisis armónico abstracto; functional calculus; weighted -algebra},
language = {eng},
number = {2},
pages = {321-357},
title = {Functional calculus in weighted group algebras.},
url = {http://eudml.org/doc/44493},
volume = {17},
year = {2004},
}

TY - JOUR
AU - Dziubanski, Jacek
AU - Ludwig, Jean
AU - Molitor-Braun, Carine
TI - Functional calculus in weighted group algebras.
JO - Revista Matemática Complutense
PY - 2004
VL - 17
IS - 2
SP - 321
EP - 357
AB - Let G be a compactly generated, locally compact group with polynomial growth and let ω 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,ω). This functional calculus is then used to study harmonic analysis properties of L1(G,ω), such as the Wiener property and Domar's theorem.
LA - eng
KW - Cálculo funcional; Algebra de grupo; Análisis armónico abstracto; functional calculus; weighted -algebra
UR - http://eudml.org/doc/44493
ER -