On the solution of Nevanlinna Pick problem with selfadjoint extensions of symmetric linear relations in Hilbert space
1997 ◽
Vol 20
(3)
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pp. 457-464
Keyword(s):
The representation of Nevanlinna Pick Problem is well known, see [7], [8] and [11]. The aim of this paper is to find the necessary and sufficient condition for the solution of Nevanlinna Pick Problem and to show that there is a one-to-one correspondence between the solutions of the Nevanlinna Pick Problem and the minimal selfadjoint extensions of symmetric linear relation in Hilbert space. Finally, we define the resolvent matrix which gives the solutions of the Nevanlinna Pick Problem.
1981 ◽
Vol 89
(3-4)
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pp. 201-215
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1978 ◽
Vol 30
(01)
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pp. 22-31
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1990 ◽
Vol 116
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pp. 177-191
1998 ◽
Vol 12
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pp. 1751-1754
1975 ◽
Vol 73
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pp. 301-306
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2011 ◽
Vol 09
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pp. 947-964
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2017 ◽
Vol E100.A
(12)
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pp. 2764-2775
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