Inversion of the local Pompeiu transformation on Riemannian symmetric spaces of rank one

We study the problem of inversion of the local Pompeiu transform on Riemannian symmetric spaces of rank one. The explicit formula for the reconstruction of a function by its averages over balls and spheres with a single fixed radius is obtained.     

On the Pompeiu problem and its generalizations

Functions are investigated whose integrals over a given collection of sets are zero. Pompeiu sets are described in terms of the approximation of their indicators by linear combinations of the indicators of balls with special radii.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 10, pp. 1444–1448, October, 1993.     

Uniqueness Theorems for Periodic (in Mean) Functions on Quaternion Hyperbolic Space

New uniqueness theorems for periodic (in mean) functions on quaternion hyperbolic space are obtained.     

A fluorescence study of the excited-state dynamics of boron dipyrrin molecular rotors

Noticeable viscosity dependence has been revealed for fluorescence spectra of three phenyl derivatives of boron dipyrrin in aqueous glycerol solutions. This dependence is less pronounced for the fluorescence lifetimes. Such behavior is characteristic of molecular rotors used as media microviscosity sensors. A significant growth of the radiative deactivation constant is observed in the range 298-150 K. Quantumchemical calculation of the model fluorophore support the assumption on barrier-free relaxation of the excited state from the pretwisted to the flattened conformation. The spectral-kinetic parameters of fluorophores have been determined, and viscosity graduation curves are presented.     

Vortex cavity aerodynamics

The flow structure in a vortex cavity is investigated numerically and the results are compared with experiment.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 158–164, May–June, 1991.     

Uniqueness theorems for mean periodic functions on complex hyperbolic spaces

New uniqueness theorems are obtained for mean periodic functions on complex hyperbolic spaces.