On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems
We consider the nonself-adjoint Sturm-Liouville operator with q∈L1[0,1] and either periodic or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in L2[0,1] in terms of the Fourier coefficients of q.
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/945049 |
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| _version_ | 1832559790127054848 |
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| author | Alp Arslan Kıraç |
| author_facet | Alp Arslan Kıraç |
| author_sort | Alp Arslan Kıraç |
| collection | DOAJ |
| description | We consider the nonself-adjoint Sturm-Liouville operator with q∈L1[0,1] and either periodic or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in L2[0,1] in terms of the Fourier coefficients of q. |
| format | Article |
| id | doaj-art-c438214c52a94228b0f4d88be2886ed7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c438214c52a94228b0f4d88be2886ed72025-02-03T01:29:14ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/945049945049On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value ProblemsAlp Arslan Kıraç0Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, 20070 Denizli, TurkeyWe consider the nonself-adjoint Sturm-Liouville operator with q∈L1[0,1] and either periodic or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in L2[0,1] in terms of the Fourier coefficients of q.http://dx.doi.org/10.1155/2015/945049 |
| spellingShingle | Alp Arslan Kıraç On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems Abstract and Applied Analysis |
| title | On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems |
| title_full | On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems |
| title_fullStr | On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems |
| title_full_unstemmed | On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems |
| title_short | On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems |
| title_sort | on the riesz basisness of systems composed of root functions of periodic boundary value problems |
| url | http://dx.doi.org/10.1155/2015/945049 |
| work_keys_str_mv | AT alparslankırac ontherieszbasisnessofsystemscomposedofrootfunctionsofperiodicboundaryvalueproblems |