Abstract
As mentioned earlier, under the assumptions of Theorem 1.8(i)–(iv) the problem of determining a function f in B R by means of its integrals over balls B ri (x) (∣x∣ < R-r i , i = 1, 2) has a unique solution. In Section 3.1, we present an inversion procedure due to Berenstein, Gay and Yger [B20].
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© 2013 Springer Basel
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Volchkov, V.V., Volchkov, V.V. (2013). The Problem of Findinga Function from Its Ball Means. In: Offbeat Integral Geometry on Symmetric Spaces. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0572-8_8
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DOI: https://doi.org/10.1007/978-3-0348-0572-8_8
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0571-1
Online ISBN: 978-3-0348-0572-8
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