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Symplectic difference systemsoscilla...

Dosly, Ondrej.

Symplectic difference systemsoscillation and spectral theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Symplectic difference systemsby Ondrej Dosly, Julia Elyseeva, Roman Simon Hilscher.
Reminder of title:	oscillation and spectral theory /
Author:	Dosly, Ondrej.
other author:	Elyseeva, Julia.
Published:	Cham :Springer International Publishing :2019.
Description:	xv, 593 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Symplectic groups.
Online resource:	https://doi.org/10.1007/978-3-030-19373-7
ISBN:	9783030193737$q(electronic bk.)

Symplectic difference systemsoscillation and spectral theory /
Dosly, Ondrej.

Symplectic difference systemsoscillation and spectral theory /[electronic resource] :by Ondrej Dosly, Julia Elyseeva, Roman Simon Hilscher. - Cham :Springer International Publishing :2019. - xv, 593 p. :ill., digital ;24 cm. - Pathways in mathematics,2367-3451. - Pathways in mathematics..

Motivation and Preliminaries -- Basic Theory of Symplectic Systems -- Comparative Index Theory -- Oscillation Theory of Symplectic Systems -- Discrete Symplectic Eigenvalue Problems -- Miscellaneous Topics on Symplectic Systems.

This monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory. As a pioneer monograph in this field it contains nowadays standard theory of symplectic systems, as well as the most current results in this field, which are based on the recently developed central object - the comparative index. The book contains numerous results and citations, which were till now scattered only in journal papers. The book also provides new applications of the theory of matrices in this field, in particular of the Moore-Penrose pseudoinverse matrices, orthogonal projectors, and symplectic matrix factorizations. Thus it brings this topic to the attention of researchers and students in pure as well as applied mathematics.

ISBN: 9783030193737$q(electronic bk.)

Standard No.: 10.1007/978-3-030-19373-7doiSubjects--Topical Terms:

878816
Symplectic groups.

LC Class. No.: QA431 / .D6 2019

Dewey Class. No.: 515.45

Symplectic difference systemsoscillation and spectral theory /
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245 1 0 $a Symplectic difference systems $h [electronic resource] : $b oscillation and spectral theory / $c by Ondrej Dosly, Julia Elyseeva, Roman Simon Hilscher.
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490 1 $a Pathways in mathematics, $x 2367-3451
505 0 $a Motivation and Preliminaries -- Basic Theory of Symplectic Systems -- Comparative Index Theory -- Oscillation Theory of Symplectic Systems -- Discrete Symplectic Eigenvalue Problems -- Miscellaneous Topics on Symplectic Systems.
520 $a This monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory. As a pioneer monograph in this field it contains nowadays standard theory of symplectic systems, as well as the most current results in this field, which are based on the recently developed central object - the comparative index. The book contains numerous results and citations, which were till now scattered only in journal papers. The book also provides new applications of the theory of matrices in this field, in particular of the Moore-Penrose pseudoinverse matrices, orthogonal projectors, and symplectic matrix factorizations. Thus it brings this topic to the attention of researchers and students in pure as well as applied mathematics.
650 0 $a Symplectic groups. $3 878816
650 0 $a Hamiltonian systems. $3 207807
650 0 $a Sturm-Liouville equation. $3 274844
650 0 $a Difference equations $x Oscillation theory. $3 878817
650 1 4 $a Difference and Functional Equations. $3 274826
650 2 4 $a Operator Theory. $3 274795
700 1 $a Elyseeva, Julia. $3 878814
700 1 $a Simon Hilscher, Roman. $3 878815
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a Pathways in mathematics. $3 750319
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950 $a Mathematics and Statistics (SpringerNature-11649)