Scattering theory for difference equations with operator coefficients
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913656366694400 |
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| author | Sher, David Silva, Luis Vertman, Boris Winklmeier, Monika |
| author_facet | Sher, David Silva, Luis Vertman, Boris Winklmeier, Monika |
| contents | We consider a second order difference equation with operator-valued coefficients. More precisely, we study either compact or trace class perturbations of the discrete Laplacian in the Hilbert space of bi-infinite square-summable sequence with entries in a fixed Hilbert space. We discuss its continuous and discrete spectrum, as well as properties of the associated scattering matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11194 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scattering theory for difference equations with operator coefficients Sher, David Silva, Luis Vertman, Boris Winklmeier, Monika Spectral Theory 39Axx, 47B39 We consider a second order difference equation with operator-valued coefficients. More precisely, we study either compact or trace class perturbations of the discrete Laplacian in the Hilbert space of bi-infinite square-summable sequence with entries in a fixed Hilbert space. We discuss its continuous and discrete spectrum, as well as properties of the associated scattering matrix. |
| title | Scattering theory for difference equations with operator coefficients |
| topic | Spectral Theory 39Axx, 47B39 |
| url | https://arxiv.org/abs/2501.11194 |