Comments and Open Problems

V. V. Volchkov
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V. V. Volchkov: Donetsk National University, Department of Mathematics

Chapter Chapter 4 in Integral Geometry and Convolution Equations, 2003, pp 137-142 from Springer

Abstract: Abstract The first example of nonzero function with vanishing integrals over balls with fixed radii was considered by L. Chakalov [C3] (see also [J1]–[J3] for the case of spherical averages). Some properties of the class V r s (B r ), related to expansion in spherical harmonics have been studied by the author [V10], [V18]. In particular, the results of Section 1.1 have been obtained in the papers [V18], [V24]. The examples of functions in the class V r (B r ) constructed in Section 1.1 can be use in studying a nontrivial estimates for the density of packings of balls with fixed radius (see Chapter 5.8).

Keywords: Symmetric Space; Hyperbolic Space; Heisenberg Group; Class Versus; Unbounded Domain (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0023-9_13

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DOI: 10.1007/978-94-010-0023-9_13

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