J 2021

Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter

ZEMÁNEK, Petr

Basic information

Original name

Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter

Authors

ZEMÁNEK, Petr (203 Czech Republic, guarantor, belonging to the institution)

Edition

Journal of Mathematical Analysis and Applications, Elsevier, 2021, 0022-247X

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 1.417

RIV identification code

RIV/00216224:14310/21:00118861

Organization unit

Faculty of Science

DOI

UT WoS

000631268200016

Keywords in English

Discrete symplectic system; Eigenvalue; Eigenfunction; Expansion theorem; M(lambda)-function

Tags

Tags

International impact, Reviewed
Změněno: 17/9/2021 08:57, doc. Mgr. Petr Zemánek, Ph.D.

Abstract

V originále

Eigenfunctions expansion for discrete symplectic systems on a finite discrete interval is established in the case of a general linear dependence on the spectral parameter as a significant generalization of the Expansion theorem given by Bohner et al. (2009) [14]. Subsequently, an integral representation of the Weyl-Titchmarsh M(lambda)-function is derived explicitly by using a suitable spectral function and a possible extension to the half-line case is discussed. The main results are illustrated by several examples.

Links

GA19-01246S, research and development project
Name: Nová oscilační teorie pro lineární hamiltonovské a symplektické systémy
Investor: Czech Science Foundation