An extension of a non-commutative Choquet-Deny theorem

Proceedings of the American Mathematical Society

Volumn 128, Issue 1, 2000, Pages 111-118

  Willis, G A ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646847534     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-05117-5     Document Type: Article

References (17)

1. [B-D] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer-Verlag, Berlin, Heidelberg, New York, 1973. MR 54:11013
2. [C-D] G. Choquet and J. Deny, Sur l'équation de convolution μ = μ * σ, C. R. Acad. Sci. Paris Sci. Paris I Math. 250 (1960), 799-801. MR 22:9808
3. [D-S] N. Dunford and J. T. Schwartz, Linear Operators. Part I, Interscience, New York, 1957. MR 90g:47001a
4. [F] H. Furstenberg, A Poisson formula for semi-simple Lie groups, Ann. of Math. 77 (1963), 335-386. MR 26:3820
5. [H-R] E. Hewitt and K. A. Ross, Abstract harmonic analysis. I, Springer-Verlag, Berlin, Heidelberg, New York, 1963. MR 28:158
6. [J] B. E. Johnson, Some examples in harmonic analysis, Studia Math. 48 (1973), 181-188. MR 49:3456
7. [K] V. A. Kaimanovich, Bi-harmonic functions on groups, C. R. Acad. Sci. Paris Sér. I Math. 314 (1992), 259-264. MR 93e:60160
8. [M-Z] D. Montgomery and L. Zippin, Topological transformation groups, Interscience, New York, 1955. MR 17:383b
9. [Re1] H. Reiter, Classical harmonic analysis, Oxford University Press.
10. 1 (G), C. R. Acad. Sci. Paris Sér. A-B 267 (1968), A882-A885. MR 39:6025
11. 1 lokalkompakter Gruppen, Comment. Math. Helv. 48 (1973), 492-497. MR 49:1008
12. ∞ + C, Ann. Inst. Fourier (Grenoble) 25, No. 1 (1975), 99-125. MR 57:7134; MR 51:13692
13. [W1] G. A. Willis, Probability measures on groups and some related ideals in group algebras, J. Funct. Analysis 92 (1990), 202-263. MR 91i:43003
14. [W2] G. A. Willis, The structure of totally disconnected, locally compact groups, Math. Ann. 300 (1994), 341-363. MR 95j:22010
15. [W3] G. A. Willis, Factorization in codimension two ideals of group algebras, Proc. Amer. Math. Soc. 89 (1983), 95-100. MR 85c:43005
16. [W4] G. A. Willis, The continuity of derivations from group algebras: factorizable and connected groups, J. Austral. Math. Soc. 52 (1992), 185-204. MR 93b:46096
17. p(G) when G is not amenable, J. Austral. Math. Soc. 41 (1986), 237-250. MR 88b:43002