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Symplectic Difference Systems: Oscillation and Spectral Theory [[electronic resource] /] / by Ondřej Došlý, Julia Elyseeva, Roman Šimon Hilscher



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Autore: Došlý Ondřej Visualizza persona
Titolo: Symplectic Difference Systems: Oscillation and Spectral Theory [[electronic resource] /] / by Ondřej Došlý, Julia Elyseeva, Roman Šimon Hilscher Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019
Edizione: 1st ed. 2019.
Descrizione fisica: 1 online resource (XV, 593 p. 7 illus. in color.)
Disciplina: 515.625
515.75
Soggetto topico: Difference equations
Functional equations
Operator theory
Difference and Functional Equations
Operator Theory
Persona (resp. second.): ElyseevaJulia
Šimon HilscherRoman
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Symplectic Difference Systems: Oscillation and Spectral Theory  Visualizza cluster
ISBN: 3-030-19373-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910349321503321
Lo trovi qui: Univ. Federico II
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Serie: Pathways in Mathematics, . 2367-3451