Periodic GMP Matrices
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Periodic GMP Matrices
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| Creator |
Eichinger, B.
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| Description |
We recall criteria on the spectrum of Jacobi matrices such that the corresponding isospectral torus consists of periodic operators. Motivated by those known results for Jacobi matrices, we define a new class of operators called GMP matrices. They form a certain Generalization of matrices related to the strong Moment Problem. This class allows us to give a parametrization of almost periodic finite gap Jacobi matrices by periodic GMP matrices. Moreover, due to their structural similarity we can carry over numerous results from the direct and inverse spectral theory of periodic Jacobi matrices to the class of periodic GMP matrices. In particular, we prove an analogue of the remarkable ''magic formula'' for this new class.
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| Date |
2019-02-15T19:16:00Z
2019-02-15T19:16:00Z 2016 |
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| Type |
Article
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| Identifier |
Periodic GMP Matrices / B. Eichinger // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 25 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 30E05; 30F15; 47B36; 42C05; 58J53 DOI:10.3842/SIGMA.2016.066 http://dspace.nbuv.gov.ua/handle/123456789/147763 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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