Abstract
This chapter is devoted to so-called “freak theorems” and their local analogues. Results due to Radon, Ungar, Schneider, Berenstein, and Zalcman are described. These results are extended to convolution equations on arbitrary compact symmetric spaces. For compact symmetric spaces of rank one, local analogues of “freak theorems” are obtained. It is shown that all the assumptions in these results cannot be relaxed.
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© 2009 Springer-Verlag London Limited
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Volchkov, V.V., Volchkov, V.V. (2009). Spherical Spectral Analysis on Subsets of Compact Symmetric Spaces. In: Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-1-84882-533-8_21
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DOI: https://doi.org/10.1007/978-1-84882-533-8_21
Publisher Name: Springer, London
Print ISBN: 978-1-84882-532-1
Online ISBN: 978-1-84882-533-8
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