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Titlebook: Offbeat Integral Geometry on Symmetric Spaces; Valery V. Volchkov,Vitaly V. Volchkov Book 2013 Springer Basel 2013 Pompeiu property.harmon

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Preliminariesasi-analytic classes, distributions and convolutions. In addition, the necessary information concerning the analytic wave front set and spherical harmonics is presented. We shall also give basic formulas for special functions that will be used many times later. The system of notation in this chapter
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The Pompeiu Transform on Symmetric Spaces and Groups for injectivity of the Pompeiu transform on symmetric spaces of the non-compact type. In Section 8.2, the problem of the description of the injectivity sets for a broad class of distributions with support on the unit sphere is solved.
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