Titlebook: Spectral Methods for Operators of Mathematical Physics; Jan Janas,Pavel Kurasov,Sergei Naboko Conference proceedings 2004 Springer Basel A

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On Some Asymptotic Properties of Solutions for a Particular Class of Finite Difference Equations,od used in the spectral analysis of discrete Sturm-Liouville operators. We apply this asymptotic method to show, that the analog of the Bellinger-Wall theorem of invariance in .. is not valid in .. for . > 2.

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On a Transformation of the Sturm-Liouville Equation with Slowly Decaying Potentials and the Titchmas existence of the Weyl solution with higher order WKB-type asymptotic behavior (spatial and spectral parameter). We apply our approach to the study of high-energy asymptotics for the Titchmarsh-Weyl .-function, improving on some relevant results of others.

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Uniform Levinson Type Theorems for Discrete Linear Systems,ameter. This result is an extension of the discrete Levinson theorem and allows us, in particular, to study the parametric discrete linear systems that arise when dealing with the generalized eigenvectors of Jacobi matrices.

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Jacobi Block Matrices with Constant Matrix Terms,ix Chebyshev polynomials of the second kind. The above equation cannot be easily simplified as in scalar case because . and . do not need to commute. However we are able to compute spectrum of the corresponding orthogonality measure which is very important to investigate discrete Schrödinger operator related to ...

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978-3-0348-9632-0Springer Basel AG 2004

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Small-Intestine

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Dariusz Cichoń,Jan Stochel,Franciszek Hugon Szafraniec

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Aad Dijksma,Heinz Langer,Annemarie Luger,Yuri Shondin