Discrete symplectic systems, boundary triplets, and self-adjoint extensions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00129119" target="_blank" >RIV/00216224:14310/22:00129119 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.impan.pl/en/publishing-house/journals-and-series/dissertationes-mathematicae/online/114677/discrete-symplectic-systems-boundary-triplets-and-self-adjoint-extensions" target="_blank" >https://www.impan.pl/en/publishing-house/journals-and-series/dissertationes-mathematicae/online/114677/discrete-symplectic-systems-boundary-triplets-and-self-adjoint-extensions</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4064/dm838-12-2021" target="_blank" >10.4064/dm838-12-2021</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Discrete symplectic systems, boundary triplets, and self-adjoint extensions

Popis výsledku v původním jazyce

An explicit characterization of all self-adjoint extensions of the minimal linear relation associated with a discrete symplectic system is provided using the theory of boundary triplets with special attention paid to the quasiregular and limit point cases. A particular example of the system (the second order Sturm–Liouville difference equation) is also investigated thoroughly, while higher order equations or linear Hamiltonian difference systems are discussed briefly. Moreover, the corresponding gamma field and Weyl relations are established and their connection with the Weyl solution and the classical M(λ)-function is discussed. To make the paper reasonably self-contained, an extensive introduction to the theory of linear relations, self-adjoint extensions, and boundary triplets is included.

Název v anglickém jazyce

Discrete symplectic systems, boundary triplets, and self-adjoint extensions

Popis výsledku anglicky

An explicit characterization of all self-adjoint extensions of the minimal linear relation associated with a discrete symplectic system is provided using the theory of boundary triplets with special attention paid to the quasiregular and limit point cases. A particular example of the system (the second order Sturm–Liouville difference equation) is also investigated thoroughly, while higher order equations or linear Hamiltonian difference systems are discussed briefly. Moreover, the corresponding gamma field and Weyl relations are established and their connection with the Weyl solution and the classical M(λ)-function is discussed. To make the paper reasonably self-contained, an extensive introduction to the theory of linear relations, self-adjoint extensions, and boundary triplets is included.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA19-01246S" target="_blank" >GA19-01246S: Nová oscilační teorie pro lineární hamiltonovské a symplektické systémy</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Dissertationes Mathematicae

ISSN

0012-3862

e-ISSN

1730-6310

Svazek periodika

579

Číslo periodika v rámci svazku

May

Stát vydavatele periodika

PL - Polská republika

Počet stran výsledku

87

Strana od-do

1-87

Kód UT WoS článku

000797015300001

EID výsledku v databázi Scopus

2-s2.0-85134510638