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Applicable Analysis
An International Journal
Volume 74, 2000 - Issue 3-4
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Original Articles

A relation between convolution type operators on intervals in sobolev spaces

Pages 393-412 | Published online: 02 May 2007

References

  • Bart , H. and Tsekanovskii , V. “ Matricial coupling and equivalence after extension, in: Operator Theory and Complex Analysis ” . In Oper. Theory Adv. Appl Edited by: Ando , T. and Gohberg , I. 143 – 160 .
  • Bastos , M.A. , Karlovich , Yu.I , dos Santos , A.F. and Tishin , P.M. 1998 . The corona theorem and the canonical factorization of triangular AP matrix functions—Effective criteria and explicit formulas . J. Math. Anal. Appl , 223 : 523 – 550 .
  • Castro , L.P. and Speck , F.O. 1998 . Regularity properties and generalized inverses of delta-related operators . Z. Anal. Anwendungen , 17 : 577 – 598 .
  • Hungerford , T.W. 1980 . Algebra .
  • Karlovich , Yu.I and Spitkovskij , I.M. 1990 . Factorization of almost periodic matrix-valued functions and the Noether theory for certain classes of equations of convolution type . Math. USSR, Izv , 34 : 281 – 316 . translation form Izv. Akad. Nauk SSSR, Ser., Mat. 53 (1989), 276-308
  • Kuijper , A.B. 1991 . A note on first kind convolution equations on a finite interval . Integral Equations Operator Theory , 14 : 146 – 152 .
  • 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 .
  • Meister , E. , Penzel , F. , Speck , F.O. and Teixeira , F.S. “ Two-media scattering problems in a half-space, in: Partial Differential Equations with Real Analysis ” . In Pitman Res. Notes Math. Ser. Edited by: Begehr et al , H. 122 – 146 .
  • Meister , E. , Penzel , F. , Speck , F.O. and Teixeira , F.S. 1993 . Some interior and exterior boundary value problems for the Helmholtz equation in a quadrant . Proc. Roy. Soc. Sect.A , 123 : 275 – 294 .
  • Meister , E. , Penzel , F. , Speck , F.O. and Teixeira , F.S. 1994 . Two canonical wedge problems for the Helmholtz equation . Math. Methods Appl. Sci , 17 : 877 – 899 .
  • Meister , E. and Speck , F.O. 1989 . “ Modern Wiener-Hopf methods in diffraction theory, in: Ordinary and Partial Differential Equations ” . In Pitman Res. Notes Math. Ser Edited by: Sleeman , B. and Jarvis , R. Vol. 216 , 130 – 171 . Longman, , London
  • Meister , E. , Speck , F.O. and Teixeira , F.S. 1992 . Weiner-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions . J. Integral Equations Appl , 4 : 229 – 255 .
  • Moura Santos , A. , Speck , F.O. and Teixeira , F.S. 1996 . “ Compatibility conditions in some diffraction problems, in: Direct and Inverse Electromagnetic Scattering ” . In Pitman Res. Notes Math. Ser Edited by: Serbest et al , A.H. Vol. 361 , 25 – 38 . Longman,Harlow
  • Sarason , D. 1977 . Toeplitz operators with semi-almost periodic symbols . Duke Math. J , 44 : 357 – 364 .
  • Speck , F.O. 1986 . Mixed boundary value problems of the type of Sommerfeld's half-plane problem . Proc. Roy. Soc. Sect. A , 104 : 261 – 277 .
  • Speck , F.O. , Hurd , R.A. and Meister , E. 1989 . Sommerfeld diffraction problems with third kind boundary conditions . SIAM J. Math. Anal. , 20 : 589 – 607 .
  • Teixeira , F.S. 1991 . Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation . Integral Equations Operator Theory , 14 : 436 – 454 .
  • Triebel , H. 1978 . Interpolation Theory, Function Spaces, Differential Operators .

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