Abstract
We prove that spherical spectral synthesis holds on the affine group of \(SU(n)\) over \(\mathbb{C}^n\).
This is a preview of subscription content,
to check access.References
Fechner, Z., Székelyhidi, L.: Spherical and moment functions on the affine group of \(SU(n)\). Acta Math. Hungar. 157, 10–26 (2019)
D. I. Gurevič, Counterexamples to a problem of L. Schwartz, Funkcional. Anal. i Priložen., 9 (1975), 29–35 (in Russian)
Schwartz, L.: Théorie générale des fonctions moyenne-périodiques. Ann. of Math. 48, 857–929 (1947)
L. Székelyhidi, Convolution Type Functional Equations on Topological Abelian Groups, World Scientific Publishing Co. Inc. (Teaneck, NJ, 1991)
Székelyhidi, L.: Spherical spectral synthesis. Acta Math. Hungar. 153, 120–142 (2017)
L. Székelyhidi, Spectral synthesis and Euclidean motions, Math. Pannon. (to appear)
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to the memory of Ákos Császár
The research was supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. K111651.
Rights and permissions
About this article
Cite this article
Székelyhidi, L. Spectral synthesis on the affine group of \(SU(n)\). Acta Math. Hungar. 158, 352–362 (2019). https://doi.org/10.1007/s10474-019-00954-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10474-019-00954-1