Volchkova N. Inversion of the local Pompeiu transform on Euclidean and hyperbolic spaces

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U003586

Thesis Registration Form

0405U003586.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

21-09-2005

Specialized Academic Board

К 11.193.02

Essay

3. The dissertation is devoted to inversion of the local Pompeiu transform.The solution of the problem on inversion of the local Pompeiu transform on quaternion hyperbolic space for some families of distributions are obtained. Local one radius and local two-radii theorems on quaternion hyperbolic space are proved. Theorems on inversion of the local Pompeiu transform on the Euclidean space are obtained. New applications to the multidimensional complex analysis, to the theory of approximations and to the measure preserving transformation theory are found.

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Files

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