Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Henk De Snoo"'
Publikováno v:
Opuscula Mathematica, Vol 28, Iss 3, Pp 233-245 (2008)
The class of Nevanlinna families consists of \(\mathbb{R}\)-symmetric holomorphic multivalued functions on \(\mathbb{C} \setminus \mathbb{R}\) with maximal dissipative (maximal accumulative) values on \(\mathbb{C}_{+}\) (\(\mathbb{C}_{-}\), respectiv
Externí odkaz:
https://doaj.org/article/29547fd7a1f643958672fe6d3ed02fbc
This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theor
Autor:
Seppo Hassi, Henk De Snoo
Publikováno v:
Acta scientiarum mathematicarum, 88(1-2), 469-503. UNIV SZEGED, BOLYAI INSTITUTE
For a pair of bounded linear Hilbert space operators A and B one considers the Lebesgue type decompositions of B with respect to A into an almost dominated part and a singular part, analogous to the Lebesgue decomposition for a pair of measures in wh
Publikováno v:
Advances in Operator Theory, 5(3), 1193-1228. SPRINGER BASEL AG
Columns and rows are operations for pairs of linear relations in Hilbert spaces, modelled on the corresponding notions of the componentwise sum and the usual sum of such pairs. The introduction of matrices whose entries are linear relations between u
Publikováno v:
Boundary Value Problems, Weyl Functions, and Differential Operators ISBN: 9783030367138
For the multi-dimensional Schrodinger operator -∆+V with a bounded real potential V on a bounded domain \( \varOmega \subset {\mathbb{R}}^{n} \) with a C2-smooth boundary a boundary triplet and a Weyl function will be constructed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78e1a17fef90fee51ffa9a35abba6820
https://doi.org/10.1007/978-3-030-36714-5_9
https://doi.org/10.1007/978-3-030-36714-5_9
Publikováno v:
Boundary Value Problems, Weyl Functions, and Differential Operators ISBN: 9783030367138
The classes of Weyl functions and more generally of Nevanlinna functions will be studied from the point of view of reproducing kernel Hilbert spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff04c4a281c9da442132889c9101047f
https://doi.org/10.1007/978-3-030-36714-5_5
https://doi.org/10.1007/978-3-030-36714-5_5
Publikováno v:
Boundary Value Problems, Weyl Functions, and Differential Operators ISBN: 9783030367138
Semibounded relations in a Hilbert space automatically have equal defect numbers, so that there are always self-adjoint extensions. In this chapter the semibounded self-adjoint extensions of a semibounded relation will be investigated.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57a18649e78bcef92da45f036e802377
https://doi.org/10.1007/978-3-030-36714-5_6
https://doi.org/10.1007/978-3-030-36714-5_6
Publikováno v:
Boundary Value Problems, Weyl Functions, and Differential Operators ISBN: 9783030367138
In this chapter the spectrum of a self-adjoint operator or relation will be completely characterized in terms of the analytic behavior and the limit properties of the Weyl function.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e90f8e79cb6e797a08dd376a7744da5a
https://doi.org/10.1007/978-3-030-36714-5_4
https://doi.org/10.1007/978-3-030-36714-5_4
Publikováno v:
Boundary Value Problems, Weyl Functions, and Differential Operators ISBN: 9783030367138
The basic properties of boundary triplets for closed symmetric operators or relations in Hilbert spaces are presented. These triplets give rise to a parametrization of the intermediate extensions of symmetric relations, in particular of the self-adjo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23f9fe641049918aef7be2f4458095c2
https://doi.org/10.1007/978-3-030-36714-5_3
https://doi.org/10.1007/978-3-030-36714-5_3
Publikováno v:
Boundary Value Problems, Weyl Functions, and Differential Operators ISBN: 9783030367138
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ade80c7499ead8160abdcfa00adb8e7
https://doi.org/10.1007/978-3-030-36714-5_1
https://doi.org/10.1007/978-3-030-36714-5_1