GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS
We define a minimal operator L0 generated by an integral equation with an operator measure and give a description of the adjoint operator L∗0. We prove that every generalized resolvent of L0 is an integral operator and give a description of boundary value problems associated to generalized resolv...
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| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2018-04-01
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| Series: | Проблемы анализа |
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| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=4630&lang=ru |
| Summary: | We define a minimal operator L0 generated by an integral equation with an operator measure and give a description of
the adjoint operator L∗0. We prove that every generalized resolvent
of L0 is an integral operator and give a description of boundary
value problems associated to generalized resolvents. |
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| ISSN: | 2306-3424 2306-3432 |