Two-radii Theorems in Symmetric Spaces

Valery V. Volchkov and Vitaly V. Volchkov
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Valery V. Volchkov: Donetsk National University, Department of Mathematics
Vitaly V. Volchkov: Donetsk National University, Department of Mathematics

Chapter Chapter 2 in Offbeat Integral Geometry on Symmetric Spaces, 2013, pp 229-264 from Springer

Abstract: Abstract The results in Chapter 1 suggest the general problem of investigating functions with zero ball means on homogeneous spaces. This chapter deals with the case of symmetric spaces with stress on two-point homogeneous spaces. We treat the spaces of the non-compact type in Sections 2.1–2.6 and the compact case in Section 2.7. Interesting analogies and differences appear.

Keywords: Entire Function; Symmetric Space; Exponential Type; Beltrami Operator; Geodesic Ball (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0572-8_7

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DOI: 10.1007/978-3-0348-0572-8_7

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