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＜電子ブック＞
Symplectic Difference Systems: Oscillation and Spectral Theory / by Ondřej Došlý, Julia Elyseeva, Roman Šimon Hilscher
(Pathways in Mathematics. ISSN:2367346X)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2019
本文言語	英語
大きさ	XV, 593 p. 7 illus. in color : online resource
著者標目	*Došlý, Ondřej author Elyseeva, Julia author Šimon Hilscher, Roman author SpringerLink (Online service)
件　名	LCSH:Difference equations LCSH:Functional equations LCSH:Operator theory FREE:Difference and Functional Equations FREE:Operator Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-19373-7

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