Generalized factorization for a class of 2 × 2 matrix functions with non-rational entries

References

• Abramowitz and Stegun . 1972 . “ Handbook of Mathematical Functions ” . New York : Dover Publications, Inc .
   Google Scholar
• Bastos , M. A. and dos Santos , A. F. 1990 . Convolution equations of the First Kind on a Finite Interval in Sobolev Spaces . Integral Equations and Operator Theory , 13 : 638 – 659 .
   Google Scholar
• Clancey , K. and Gohberg , I. 1987 . Factorization of Matrix Functions and Singular Integral Operators . Operator Theory: Advances and Applications , 3 Birkauser
   Google Scholar
• Daniele , V. T. 1984 . On the Solution of Two Couple Wiener-Hopf Equations . SIAM J. Appl. Math , 44 ( ⁰4 ) : 667 – 680 .
   Google Scholar
• Èskin , G. I. 1981 . Boundary Value Problems for Elliptic Pseudodifferential Equations . Translations of Mathematical Manographs , 52 ( ⁰4 )
   Google Scholar
• Hormander . 1976 . Linear partial differential operators , Springer-Verlag .
   Google Scholar
• Lebre , A. B. and dos Santos , A. F. 1990 . Generalized Factorization for a Class of Non-Rational 2x2 Matrix Functions . Integral Equations and Operator Theory , 13 : 671 – 700 .
   Web of Science ®Google Scholar
• Mikhlin , S. G. and Pröβdorf , S. 1986 . Singular Operators , Berlin : Springer-Verlag .
   Google Scholar
• Muskhehishvili , N. I. 1977 . Singular Integral Equations , Noordhoff International Publishing .
   Google Scholar
• Pröβdorf , S. and Speck , F.O. 1990 . A Factorization Procedure for two by two Matrix Functions on the Circle with two Rationally Entries . Proc. R. Soc. Edinburgh , 115A : 119 – 138 .
   Google Scholar
• Riesz , M. 1927 . Sur les fonctions conjuguées . Math. Z , 27 : 218 – 244 .
   Google Scholar
• Walter Rudin . 1974 . Real and Complex Analysis , Mc Graw-Hill .
   Google Scholar
• Teixeira , F. S. 1990 . Generalized Factorization for a Class of Symbols in [PC(R)]2×2 . Appl. Anal , 36 : 95 – 117 .
   Google Scholar