Interpolation by positive definite functions on locally compact groups with application to SO (3)

1996 ◽  
Vol 29 (1-2) ◽  
pp. 69-77 ◽  
Author(s):  
Tim Gutzmer
Keyword(s):  
Positive Definite ◽  
Positive Definite Functions ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact

On a separation property of positive definite functions on locally compact groups

2003 ◽  
Vol 243 (1) ◽  
pp. 161-177 ◽  
Author(s):  
Eberhard Kaniuth ◽  
Anthony T. Lau
Keyword(s):  
Positive Definite ◽  
Positive Definite Functions ◽  
Locally Compact Groups ◽  
Separation Property ◽  
Compact Groups ◽  
Locally Compact

scholarly journals On Godement's characterisation of amenability

1998 ◽  
Vol 57 (1) ◽  
pp. 153-158 ◽  
Author(s):  
Alain Valette
Keyword(s):  
Positive Definite Function ◽  
Positive Definite ◽  
Locally Compact Groups ◽  
Definite Function ◽  
Compact Groups ◽  
Locally Compact ◽  
Unimodular Group ◽  
Compactly Supported ◽  
Assembly Map

Motivated by a question related to the construction of the Baum-Connes analytical assembly map for locally compact groups, we refine a criterion of Godement for amenability: for a unimodular group G, our criterion says that G is amenable if and only if every compactly supported, positive-definite function has non-negative integral over G.

Invariant $\varphi$-means for abstract Segal algebras related to locally compact groups

2018 ◽  
Vol 25 (5) ◽  
pp. 687-698
Author(s):  
Hossein Javanshiri ◽  
Mehdi Nemati
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Segal Algebras
Sign in / Sign up

Export Citation Format

Share Document