Abstract
In 1980, J. Esterle proved the Wiener theorem forL 1 (—) by a completely new method using analytic semigroup techniques. We show here how to extend the method in two different ways. First, it is shown that spectral synthesis for points on the real line is also provided by analytic semigroup techniques. Second, Esterle's proof may also be adapted to provide Wiener theorem for some elementary hypergroups.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
W. R. Bloom andH. Heyer, Harmonic Analysis of probability measures on hypergroups. Berlin 1995.
J. Esterle, A complex-variable proof of the Wiener theorem. Ann. Inst. Fourier, Grenoble 1980.
M. O. Gebuhrer, Analyse harmonique sur les espaces de Gelfand-Levitan et application à la théorie des semigroups de convolution. Thèse de Doctorat d'Etat ès sciences Math., Strasbourg 1989.
H. Reiter, Classical harmonic analysis and locally compact groups. Oxford Math. Monographs, Oxford 1968.
Author information
Authors and Affiliations
Additional information
Eine überarbeitete Fassung ging am 24. 4. 2001 ein