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Two-radii Theorems in Symmetric Spaces

In: Offbeat Integral Geometry on Symmetric Spaces

Author

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  • Valery V. Volchkov

    (Donetsk National University, Department of Mathematics)

  • Vitaly V. Volchkov

    (Donetsk National University, Department of Mathematics)

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.

Suggested Citation

  • Valery V. Volchkov & Vitaly V. Volchkov, 2013. "Two-radii Theorems in Symmetric Spaces," Springer Books, in: Offbeat Integral Geometry on Symmetric Spaces, edition 127, chapter 0, pages 229-264, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0572-8_7
    DOI: 10.1007/978-3-0348-0572-8_7
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