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Symplectic difference systemsoscilla...

Dosly, Ondrej.

Symplectic difference systemsoscillation and spectral theory /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Symplectic difference systemsby Ondrej Dosly, Julia Elyseeva, Roman Simon Hilscher.
其他題名:	oscillation and spectral theory /
作者:	Dosly, Ondrej.
其他作者:	Elyseeva, Julia.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xv, 593 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Symplectic groups.
電子資源:	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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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.
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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
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