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024 7 $a10.1007/978-3-030-19373-7
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035   $a(DE-He213)978-3-030-19373-7
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101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
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200 10$aSymplectic Difference Systems: Oscillation and Spectral Theory /$fby Ond?ej Do?lı, Julia Elyseeva, Roman ?imon Hilscher
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019.
215   $a1 online resource (XV, 593 p. 7 illus. in color.) 
225 1 $aPathways in Mathematics,$x2367-3451
311   $a3-030-19372-1 
327   $aMotivation and Preliminaries -- Basic Theory of Symplectic Systems -- Comparative Index Theory -- Oscillation Theory of Symplectic Systems -- Discrete Symplectic Eigenvalue Problems -- Miscellaneous Topics on Symplectic Systems.
330   $aThis monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory. As a pioneer monograph in this field it contains nowadays standard theory of symplectic systems, as well as the most current results in this field, which are based on the recently developed central object - the comparative index. The book contains numerous results and citations, which were till now scattered only in journal papers. The book also provides new applications of the theory of matrices in this field, in particular of the Moore-Penrose pseudoinverse matrices, orthogonal projectors, and symplectic matrix factorizations. Thus it brings this topic to the attention of researchers and students in pure as well as applied mathematics.
410  0$aPathways in Mathematics,$x2367-3451
606   $aDifference equations
606   $aFunctional equations
606   $aOperator theory
606   $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aOperator theory.
615 14$aDifference and Functional Equations.
615 24$aOperator Theory.
676   $a515.625
676   $a515.75
676   $a515.45
700   $aDo?lı$b Ond?ej$4aut$4http://id.loc.gov/vocabulary/relators/aut$0499453
702   $aElyseeva$b Julia$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $a?imon Hilscher$b Roman$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910349321503321
996   $aSymplectic Difference Systems: Oscillation and Spectral Theory$92499261
997   $aUNINA