Finite gap Jacobi matrices and the Schottky-Klein
prime function
prime function
File(s)
Published version
Accepted version
Author(s)
Crowdy, DG
Type
Journal Article
Abstract
A covering map formalism for studying the spectral curves assocaited
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.
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.
Date Issued
2016-11-08
Date Acceptance
2016-09-18
Citation
Computational Methods and Function Theory, 2016, 17 (2), pp.319-341
ISSN
1617-9447
Publisher
Springer Verlag (Germany)
Start Page
319
End Page
341
Journal / Book Title
Computational Methods and Function Theory
Volume
17
Issue
2
Copyright Statement
© The Author(s) 2016. This article is published with open access at Springerlink.com
License URL
Sponsor
Engineering & Physical Science Research Council (EPSRC)
The Royal Society
Grant Number
EP/K019430/1
WM120037
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Jacobi matrix
Finite gap
Isospectral torus
Schottky-Klein prime function
MULTIPLY CONNECTED DOMAINS
POLYNOMIALS
Publication Status
Published