On the solution of Nevanlinna Pick problem with selfadjoint extensions of symmetric linear relations in Hilbert space
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 P...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000628 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |