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RESOLVENT OPERATOR OF SINGULAR DIRAC SYSTEM WITH TRANSMISSION CONDITIONS

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dc.creator Allahverdiev, Bilender
dc.creator Tuna, Huseyin
dc.date 2018-12-31T21:00:00Z
dc.date.accessioned 2020-10-06T10:39:58Z
dc.date.available 2020-10-06T10:39:58Z
dc.identifier 7de4bb3a-070c-4be0-977e-17ca54397908
dc.identifier 10.21857/mnlqgc00ny
dc.identifier https://avesis.sdu.edu.tr/publication/details/7de4bb3a-070c-4be0-977e-17ca54397908/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/64462
dc.description This paper is concerned with the resolvent operator of one dimensional singular Dirac operator with transmission conditions. We study the Titchmarsh-Weyl function of this problem. Later, we construct a Green function and a spectral function for regular and singular problems. With the help of these functions, we obtain an expansion into a Fourier series of resolvent in regular case. Furthermore, we give integral representations in terms of the spectral function for the resolvent of this operator with transmission conditions in singular case. Finally, we obtain a formula for the Titchmarsh-Weyl function in terms of the spectral function of the singular Dirac system.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title RESOLVENT OPERATOR OF SINGULAR DIRAC SYSTEM WITH TRANSMISSION CONDITIONS
dc.type info:eu-repo/semantics/article


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