Convolution equations and the local Pompeiu property on symmetric spaces and on phase space associated to the Heisenberg group (Q948858)

This is a monograph-type article devoted to various problems and results arising in integral geometry that are (in one way or another) related to convolution equations. Among the main results of the paper the following ones should be mentioned: new uniqueness results related to geometric aspects of mean periodicity on various homogeneous spaces; the equivalence of the local and the Pompeiu property for arbitrary families of compactly supported distributions; the solution of the local Pompeiu property for the class of non-real analytic functions; local versions of the two-radii theorem on symmetric spaces of arbitrary rank.