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http://hdl.handle.net/20.500.12323/4663| Title: | On Necessary Conditions Of Basicity Of A System Of Eigen-Functions Of Second Order Discontinuous Operators |
| Authors: | Kerimov, Nazim B. Ibadov, Elchin J. |
| Issue Date: | 2006 |
| Citation: | Transactions of National Academy of Sciences of Azerbaijan |
| Series/Report no.: | Vol. 26; |
| Abstract: | In the paper the basicity properties of a system of eigen-functions of the differential operator Lu = u 00+q (x) u are investigated, where q (x) is a complexvalued potential from the space L1 (0, 1). Following V.A.Ilin we proceed from the generalized treatment of eigen-functions and they can have discontinuity of the first order. The necessary conditions of basicity of a system of eigen-functions in the space Lp (1 < p < ∞) in terms of eigen-values are obtained. |
| URI: | http://hdl.handle.net/20.500.12323/4663 |
| Appears in Collections: | Publication |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| On Necessary Conditions Of Basicity Of A System Of Eigen-Functions Of Second Order Discontinuous Operators.pdf | 138.32 kB | Adobe PDF | View/Open |
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