# Functional calculus in weighted group algebras.

Jacek Dziubanski; Jean Ludwig; Carine Molitor-Braun

Revista Matemática Complutense (2004)

- Volume: 17, Issue: 2, page 321-357
- ISSN: 1139-1138

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topDziubanski, 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 -

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