Article contents
On weak spectral synthesis
Published online by Cambridge University Press: 17 April 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Weak spectral synthesis fails in the group algebra and the generalised group algebra of any non compact locally compact abelian group and also in the Fourier algebra of any infinite compact Lie group.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1991
References
[1]Bloom, W.R., ‘Sets of p−spectral synthesis’, Pacific J. Math. 60 (1975), 7–19.CrossRefGoogle Scholar
[2]Hewitt, E. and Ross, K.A., Abstract Harmonic Analysis II (Springer-Verlag, Berlin, Heidelberg, New York, 1970).Google Scholar
[3]Johnson, G.P., ‘Spaces of functions with values in a Banach algebra’, Trans. Amer. Math. Soc. 92 (1959), 411–429.CrossRefGoogle Scholar
[4]Reiter, H., Classical Harmonic Analysis and Locally Compact Groups (Oxford University Press, Oxford, 1968).Google Scholar
[6]Varopoulos, N. Th., ‘Spectral synthesis on spheres’, Proc. Camb. Phil. Soc. 62 (1966), 379–387.CrossRefGoogle Scholar
[7]Warner, C.R., ‘Weak spectral synthesis’, Proc. Amer. Math. Soc. 99 (1987), 244–247.CrossRefGoogle Scholar
- 11
- Cited by