Dissipative Dirac operator with general boundary conditions on time scales
Keyword(s):
UDC 517.9 In this paper, we consider the symmetric Dirac operator on bounded time scales. With general boundary conditions, we describe extensions (dissipative, accumulative, self-adjoint and the other) of such symmetric operators. We construct a self-adjoint dilation of dissipative operator. Hence, we determine the scattering matrix of dilation. Later, we construct a functional model of this operator and define its characteristic function. Finally, we prove that all root vectors of this operator are complete.
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2017 ◽
Vol 447
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pp. 84-108
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2017 ◽
Vol 41
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pp. 239-255
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1977 ◽
Vol 50
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pp. 445-454
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1989 ◽
Vol 108
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pp. 281-291
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2016 ◽
Vol 40
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pp. 9228-9253
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1984 ◽
Vol 39
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pp. 1581-1597
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2005 ◽
Vol 47
(11)
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pp. 1740-1755
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