Telman Gasymov
Department of Non-harmonic analysis,Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
[ 1 ] - On an atomic decomposition in Banach spaces
An atomic decomposition is considered in Banach space. A method for constructing an atomic decomposition of Banach space, starting with atomic decomposition of subspaces is presented. Some relations between them are established. The proposed method is used in the study of the frame properties of systems of eigenfunctions and associated functions of discontinuous differential operators.
[ 2 ] - Generalized concept of $J$-basis
A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined. Also, corresponding concept of the space of coefficients is introduced. Under certain conditions for the corresponding operators, some properties of the space of coefficients and basicity crite...
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