Factorization of a class of symbols with outer functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:413

Article

dos Santos, Antonio F.¹  dos Santos, Pedro F.¹ 

[1] Univ Lisbon, Dept Matemat, Inst Super Tecn, Lisbon, Portugal

关键词: Factorization;    Riemann-Hilbert problems;    Riemann surfaces;   

DOI  :  10.1016/j.jmaa.2013.11.041

来源: Elsevier

【 摘 要 】

In this paper the Wiener-Hopf (or Riemann-Hilbert) factorization of a class of symbols important in applications is studied. The symbols in this class involve outer functions that appear in applications such as diffraction by strip gratings and infinite-dimensional integrable systems. The method proposed is based on the reduction of a vector Riemann-Hilbert to a scalar problem on an appropriate Riemann surface. Two examples are given leading to the Riemann sphere and to an elliptic curve. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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