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Spectral analysis of operators with the two-point Bohr spectrum |
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| Authors: | A.G. Baskakov |
| Affiliation: | a Department of Applied Mathematics and Mechanics, Voronezh State University, Universitetskaya Ploshad 1, Voronezh 394006, Russia b Department of Mathematics, Washington University in St. Louis, One Brookings Drive, Campus Box 1146, St. Louis, MO 63130, USA |
| Abstract: | In this paper the representation theory of locally compact Abelian groups is used to introduce linear operators with the two-point Bohr spectrum and to study their spectral properties. In particular, the structure of the inverse operators is considered and the applications to the theory of difference operators are discussed. |
| Keywords: | Almost periodic operators Difference operators Bohr spectrum Spectrum of a linear relation Inverse operator Estimates for the elements of the inverse operator |
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