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Resolvent and spectrum for discrete symplectic systems in the limit point case

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The spectrum of an arbitrary self-adjoint extension of the minimal linear relation associated with the discrete symplectic system in the limit point case is completely characterized by using the limiting Weyl-Titchmarsh M+(lambda)-function. Furthermore, a dependence of the spectrum on a boundary condition is investigated and, consequently, several results of the singular Sturmian theory are derived. (C) 2021 Elsevier Inc. All rights reserved.

Discrete symplectic systemSpectrumEigenvalueLimit point caseM(lambda)-functionWEYL-TITCHMARSH THEORYSINGULAR DIFFERENTIAL-OPERATORSEQUATIONS

Zemanek, Petr

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Masaryk Univ

2022

Linear Algebra and its Applications

Linear Algebra and its Applications

EISCI
ISSN:0024-3795
年,卷(期):2022.634
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