Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Jan Janas"'
Publikováno v:
Integral Equations and Operator Theory. 92
This paper provides decay bounds for Green matrices and generalized eigenvectors of block Jacobi operators when the real part of the spectral parameter lies in a bounded gap of the operator's essential spectrum. The case of the spectral parameter bei
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80b0c544e83deb38a20cae5ed5a1daa8
https://doi.org/10.1007/s00020-020-02576-7
https://doi.org/10.1007/s00020-020-02576-7
Publikováno v:
Journal of Approximation Theory. 227:51-69
We consider some unbounded Jacobi matrices J with zero main diagonal and off diagonal entries defined by two different rules and calculate their essential spectrum by extending Last and Simon’s ideas from the bounded to the unbounded case. We show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::401a790ccad0e6a371a2b29a1bbc83d2
https://doi.org/10.1016/j.jat.2017.12.002
https://doi.org/10.1016/j.jat.2017.12.002
Publikováno v:
Integral Equations and Operator Theory. 90
This paper provides decay bounds for Green matrices and generalized eigenvectors of block Jacobi operators when the real part of the spectral parameter lies in a bounded gap of the operator’s essential spectrum. The case of the spectral parameter b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f6e72de6d3733eb8bb00bde14464f96
https://doi.org/10.1007/s00020-018-2476-0
https://doi.org/10.1007/s00020-018-2476-0
Autor:
Serguei Naboko, Jan Janas
Publikováno v:
Journal of Difference Equations and Applications. 21:1103-1118
This work consists of two parts. The first one contains a characterization (localization) of the point spectrum of one sided, infinite and periodic Jacobi matrices with scalar entries. The second one deals with the same questions about one sided, inf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f40ff63b798082afb567866218538a7d
https://doi.org/10.1080/10236198.2015.1066341
https://doi.org/10.1080/10236198.2015.1066341
Autor:
Jan Janas
Publikováno v:
Acta Scientiarum Mathematicarum. 80:261-273
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6091659f81d20ec9c6cdc773c0799ce0
https://doi.org/10.14232/actasm-012-610-2
https://doi.org/10.14232/actasm-012-610-2
Autor:
Jan Janas, Serguei Naboko
Publikováno v:
Mathematika. 59:191-212
In this paper we prove sharp estimates for generalized eigenvectors of Hermitian Jacobi matrices associated with the spectral parameter lying in a gap of their essential spectra. The estimates do not depend on the main diagonals of these matrices. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48a32a9c9bd94d1c490caf75539ad30e
https://doi.org/10.1112/s0025579312000113
https://doi.org/10.1112/s0025579312000113
Autor:
Jan Janas, Marcin Moszyński
Publikováno v:
Studia Mathematica. 209:107-133
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f5d065cea0e28b872571b9575e8d2dd
https://doi.org/10.4064/sm209-2-2
https://doi.org/10.4064/sm209-2-2
Publikováno v:
Operators and Matrices. :543-565
This work contains a constructive example of a class of Jacobi operators with an arbitrary finite number of gaps in its unbounded essential spectrum. The construction of this class is based on elementary ideas of gluing finite-dimensional Jacobi matr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d106431722f1f2a5f7e08403d4a657d1
https://doi.org/10.7153/oam-06-37
https://doi.org/10.7153/oam-06-37
Publikováno v:
Integral Equations and Operator Theory. 69:151-170
We give explicit examples of unbounded Jacobi operators with a few gaps in their essential spectrum. More precisely a class of Jacobi matrices whose absolutely continuous spectrum fills any finite number of bounded intervals is considered. Their poin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96e5d0e8b418b984dde960fe67c5670a
https://doi.org/10.1007/s00020-010-1856-x
https://doi.org/10.1007/s00020-010-1856-x
A Weyl–Titchmarsh type formula for a discrete Schrödinger operator with Wigner–von Neumann potential
Autor:
Sergey Simonov, Jan Janas
Publikováno v:
Studia Mathematica. 201:167-189
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6ffa664c352015abb5d2238a0b1fc77
https://doi.org/10.4064/sm201-2-4
https://doi.org/10.4064/sm201-2-4