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Original Articles

Invertibility properties of matrix wiener‐hopf plus Hankel integral operators

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Pages 7-16 | Received 08 Aug 2007, Published online: 14 Oct 2010

References

  • Bogveradze , G. and Castro , L.P. 2006 . Wiener‐Hopf plus Hankel operators on the real line with unitary and sectorial symbols . Contemp. Math. , 414 : 77 – 85 .
  • Bogveradze , G. and Castro , L.P. 2008 . On the Fredholm index of matrix Wiener‐Hopf plus/minus Hankel operators with semi‐almost periodic symbols . Oper. Theory Adv. Appl. , 181 (16 pp., to appear)
  • Castro , L.P. and Speck , F.‐O. 1998 . Regularity properties and generalized inverses of delta‐related operators . Z. Anal. Anwendungen , 17 : 577 – 598 .
  • Castro , L.P. and Speck , F.‐O. 2005 . Inversion of matrix convolution type operators with symmetry . Port. Math. (N.S. , 62 : 193 – 216 .
  • Castro , L.P. , Speck , F.‐O. and Teixeira , F.S. 2003 . Explicit solution of a Dirichlet‐Neumann wedge diffraction problem with a strip . J. Integral Equations Appl. , 15 : 359 – 383 .
  • Castro , L.P. , Speck , F.‐O. and Teixeira , F.S. 2004 . A direct approach to convolution type operators with symmetry . Math. Nachr. , : 269 – 270 . 73 – 85 .
  • Castro , L.P. , Speck , F.‐O. and Teixeira , F.S. 2004 . On a class of wedge diffraction problems posted by Erhard Meister . Oper. Theory Adv. Appl. , 147 : 213 – 240 .
  • Castro , L.P. , Speck , F.‐O. and Teixeira , F.S. 2006 . Mixed boundary value problems for the Helmholtz equation in a quadrant . Integral Equations Operator Theory , 56 : 1 – 44 .
  • Clancey , K. and Gohberg , I. 1981 . Factorization of Matrix Functions and Singular Integral Operators , Basel : Birkhäuser Verlag .
  • Conceição , A.C. , Kravchenko , V.G. and Teixeira , F.S. 2003 . “ Factorization of some classes of matrix functions and the resolvent of a Hankel operator ” . In Factorization, Singular Operators and Related Problems , 101 – 110 . Dordrecht : Kluwer Acad. Publ. .
  • Douglas , R.G. and Sarason , D. 1970 . Fredholm Toeplitz operators . Proc. Amer. Math. Soc. , 26 : 117 – 120 .
  • Ehrhardt , T. 2004 . Invertibility theory for Toeplitz plus Hankel operators and singular integral operators with flip . J. Funct. Anal. , 208 : 64 – 106 .
  • Karapetiants , N. and Samko , S. 2001 . Equations with Involutive Operators , Boston : Birkhäuser .
  • Kravchenko , V.G. , Lebre , A.B. , Litvinchuk , G.S. and Teixeira , F.S. 1995 . Fredholm theory for a class of singular integral operators with Carleman shift and unbounded coefficients . Math. Nachr. , 172 : 199 – 210 .
  • Kravchenko , V.G. and Litvinchuk , G.S. 1994 . Introduction to the Theory of Singular Integral Operators with Shift , Dordrecht : Kluwer Academic Publishers Group .
  • Lebre , A.B. , Meister , E. and Teixeira , F.S. 1992 . Some results on the invertibility of Wiener‐Hopf‐Hankel operators . Z. Anal. Anwendungen , 11 : 57 – 76 .
  • A.P.Nolasco L.P. Castro A criterion for lateral invertibility of matrix Wiener‐Hopf plus Hankel operators with good Hausdorff sets. (9 pp., to appear)
  • Nolasco , A.P. and Castro , L.P. 2006 . Factorization theory for Wiener‐Hopf plus Hankel operators with almost periodic symbols . Contemp. Math. , 414 : 111 – 128 .
  • Nolasco , A.P. and Castro , L.P. 2007 . ADuduchava‐Saginashvili's type theory for Wiener‐Hopf plus Hankel operators . J. Math. Anal. Appl. , 331 : 329 – 341 .
  • Teixeira , F.S. 1989 . On a class of Hankel operators: Fredholm properties and invertibility . Integral Equations Operator Theory , 12 : 592 – 613 .
  • Wiener , N. and Hopf , E. 1931 . Über eine Klasse Singulärer Integralgleichungen . Sitzungsber. Preuß. Akad. Wiss., Phys.‐Math. , : 30 – 32 . 696 – 706 .

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