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On symmetry condition of images of Fourier – Gelfand – Graev integral transformation
-
A. S. Blagovestchenskii
and
F.N. Podymaka
Published/Copyright:
September 7, 2013
Abstract
- Considering some integral geometry problems it is used a so-called Fourier - Gelfand - Graev transformation. This mapping transforms an arbitrary function defined on the Lobachevsky space into a homogeneous function on a cone. For a function to be the Fourier -Gelfand -Graev image it is necessary and sufficient for some condition (symmetry condition) to be valid. In the present paper different forms of the symmetry condition are studied. A relation between the symmetry condition and a theorem of the expansion in continuous spectrum eigenfunctions of the Beltrami - Laplace operator on the Lobachevsky space is established.
Published Online: 2013-09-07
Published in Print: 2000-06
© 2013 by Walter de Gruyter GmbH & Co.
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- Stability results for solutions of a linear parabolic noncharacteristic Cauchy problem
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Articles in the same Issue
- Contents
- On symmetry condition of images of Fourier – Gelfand – Graev integral transformation
- Subdifferential inverse problems for evolution Navier – Stokes systems
- Stability results for solutions of a linear parabolic noncharacteristic Cauchy problem
- Identification of the curve of discontinuity of the determinant of the anisotropic conductivity
- Group analysis and formulas in inverse problems of mathematical physics
- A numerical method for solving the inverse scattering problem with fixed-energy phase shifts
- A multifunctional extension of function spaces: chaotic systems are maximally ill-posed
- Integral geometry problems for symmetric tensor fields with incomplete data
