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Symplectic difference systems = osci...

Dosly, Ondrej.

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Symplectic difference systems = oscillation and spectral theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Symplectic difference systems/ by 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.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Symplectic groups. -
Online resource:	https://doi.org/10.1007/978-3-030-19373-7
ISBN:	9783030193737

Symplectic difference systems = oscillation 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

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

740911
Symplectic groups.

LC Class. No.: QA431 / .D6 2019

Dewey Class. No.: 515.45

Symplectic difference systems = oscillation and spectral theory /
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100 1 $a Dosly, Ondrej. $3 2165641
245 1 0 $a Symplectic difference systems $h [electronic resource] : $b oscillation and spectral theory / $c by Ondrej Dosly, Julia Elyseeva, Roman Simon Hilscher.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2019.
300 $a xv, 593 p. : $b ill., digital ; $c 24 cm.
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 740911
650 0 $a Hamiltonian systems. $3 629810
650 0 $a Sturm-Liouville equation. $3 705282
650 0 $a Difference equations $x Oscillation theory. $3 2047430
650 1 4 $a Difference and Functional Equations. $3 897290
650 2 4 $a Operator Theory. $3 897311
700 1 $a Elyseeva, Julia. $3 3503180
700 1 $a Simon Hilscher, Roman. $3 3503181
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Pathways in mathematics. $3 2200293
856 4 0 $u https://doi.org/10.1007/978-3-030-19373-7
950 $a Mathematics and Statistics (SpringerNature-11649)