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Generalized factorization for N×N Daniele–Khrapkov matrix functions

✍ Scribed by M. C. Câmara; A. F. dos Santos; N. Manojlović

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
197 KB
Volume
24
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

A generalization to N×N of the 2×2 Daniele–Khrapkov class of matrix‐valued functions is proposed. This class retains some of the features of the 2×2 Daniele–Khrapkov class, in particular, the presence of certain square‐root functions in its definition. Functions of this class appear in the study of finite‐dimensional integrable systems. The paper concentrates on giving the main properties of the class, using them to outline a method for the study of the Wiener–Hopf factorization of the symbols of this class. This is done through examples that are completely worked out. One of these examples corresponds to a particular case of the motion of a symmetric rigid body with a fixed point (Lagrange top). Copyright © 2001 John Wiley & Sons, Ltd.

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