Abstract
The statement of Proposition 1.1 shows that in the case where A is a ball, the map \(\mathcal{P}\,:\,\mathcal{C}(\mathbb{R}^n)\,\rightarrow\,\mathcal{C}\left(\rm M(n)\right){\rm \,ginen \, by }\,(\mathcal{P}f)(g)\,=\,\int_{g^-1A}f(x)dx\)
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© 2013 Springer Basel
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Volchkov, V.V., Volchkov, V.V. (2013). Sets with the Pompeiu Property. In: Offbeat Integral Geometry on Symmetric Spaces. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0572-8_9
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DOI: https://doi.org/10.1007/978-3-0348-0572-8_9
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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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