Chains of reproducing kernel Hilbert spaces generated by unimodular functions
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866914101059387392 |
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| author | Suzuki, Masatoshi |
| author_facet | Suzuki, Masatoshi |
| contents | We present a method to construct a chain of reproducing kernel Hilbert spaces controlled by a first-order system of differential equations from a given unimodular function satisfying several conditions. One of the applications of that method is a conditional but richly general solution to the inverse problem of recovering the structure Hamiltonian from a given de Branges space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_11121 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Chains of reproducing kernel Hilbert spaces generated by unimodular functions Suzuki, Masatoshi Functional Analysis Classical Analysis and ODEs Number Theory 34A55, 31A10, 34L40, 47B35 We present a method to construct a chain of reproducing kernel Hilbert spaces controlled by a first-order system of differential equations from a given unimodular function satisfying several conditions. One of the applications of that method is a conditional but richly general solution to the inverse problem of recovering the structure Hamiltonian from a given de Branges space. |
| title | Chains of reproducing kernel Hilbert spaces generated by unimodular functions |
| topic | Functional Analysis Classical Analysis and ODEs Number Theory 34A55, 31A10, 34L40, 47B35 |
| url | https://arxiv.org/abs/2012.11121 |