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The variational theory of higher-order linear differential equations

Published online by Cambridge University Press:  22 January 2016

Yasuo Teranishi*
Affiliation:
Department of Mathematics Faculty of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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In his paper [2], [3], D. A. Hejhal investigated the variational theory of linear polynomic functions. In this paper we are concerned with the variational theory of higher-order differential equations. To be more precise, consider a compact Riemann surface having genus g > 1. As is well known, we can choose a projective coordinate covering U = (Ua, za ). Fix this coordinate covering of X. We shall be concerned with linear ordinary differential operators of order n defined in each projective coordinate open set Ua

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984