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Finite Gap Jacobi Matrices and the Schottky–Klein Prime Function

Finite Gap Jacobi Matrices and the Schottky–Klein Prime Function A covering map formalism for studying the spectral curves associated with finite gap Jacobi matrices is presented. We advocate a constructive function theoretic framework based on use of the Schottky–Klein prime function. The single gap, or genus-one, case is studied in explicit detail. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Finite Gap Jacobi Matrices and the Schottky–Klein Prime Function

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Publisher
Springer Journals
Copyright
Copyright © 2016 by The Author(s)
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-016-0186-7
Publisher site
See Article on Publisher Site

Abstract

A covering map formalism for studying the spectral curves associated with finite gap Jacobi matrices is presented. We advocate a constructive function theoretic framework based on use of the Schottky–Klein prime function. The single gap, or genus-one, case is studied in explicit detail.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Nov 8, 2016

References