The Spherical Mean Value Operators on Euclidean and Hyperbolic Spaces.

Lim, Kyung-Taek.


  • Abstract: On Euclidean space, we prove the surjectivity of the spherical mean value operator from the class of smooth functions to itself, and from the class of distributions to itself, and obtain range characterizations of this operator on the class of compactly supported distributions and functions, respectively. On the three dimensional hyperbolic space, we obtain a range characterization of th... read more
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