Reduced transfer operators for singular difference equations

Schulz-Baldes H (2022)


Publication Type: Journal article

Publication year: 2022

Journal

DOI: 10.1080/10236198.2022.2147002

Abstract

For tridiagonal block Jacobi operators, the standard transfer operator techniques only work if the off-diagonal entries are invertible. Under suitable assumptions on the range and kernel of these off-diagonal operators which assure a homogeneous minimal coupling between the blocks, it is shown how to construct reduced transfer operators that have the usual Krein space unitarity property and also a crucial monotonicity in the energy variable. This allows to extend the results of oscillation theory to such systems.

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How to cite

APA:

Schulz-Baldes, H. (2022). Reduced transfer operators for singular difference equations. Journal of Difference Equations and Applications. https://dx.doi.org/10.1080/10236198.2022.2147002

MLA:

Schulz-Baldes, Hermann. "Reduced transfer operators for singular difference equations." Journal of Difference Equations and Applications (2022).

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