Generalized factorization for a class of symbols in [pc(Ĺ)]^2x2

Abstract

In this paper it is proved that Daniele' method for factorizing 2x2 matrix-valued functions yields a generalized canonical factorization for non-rational symbols in a certain subclass of [PC(R)]^2x2, Some applications to half-plane diffraction problems of the Sommerfeld type are presented

Keywords:

• Wiener-Hopf factorization
• generalised factorization
• diffraction theory
• Sommerfeld half-plane problems

AMS(MOS):

• 45E48
• 47G78