Publication Cover
Applicable Analysis
An International Journal
Volume 18, 1984 - Issue 1-2
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Original Articles

Fourier type analysis and the marcenko equation

Pages 39-54 | Published online: 02 May 2007

References

  • Burricige , R. 1980 . Wave Motion , 2 : 305 – 323 .
  • Carroll , R. 1982 . Trail smut at ion, scattering theory, and special functions , Amsterdam : North-Holland .
  • Carroll , R. 1982 . Transmutation via the momentum plane , Amsterdam : Math. Meth. Appl. Sci. , to appear .
  • Carroll , R. 1982 . Rocky Mount. J. Math , 12 : 393 – 427 .
  • Carroll , R. 1982 . Anais Acad. Brasil. Ciencias , 54 : 271 – 280 .
  • Carroll , R. 1981 . Appl. Anal , 12 : 153 – 157 .
  • Carroll , R. 1983 . J. Math. Anal. Appl , 92 : 410 – 428 .
  • Carroll , R. 1983 . Proc. Japan Acad , 59 : 51 – 54 .
  • Carroll , R. 1983 . Appl. Anal , 16 : 85 – 90 .
  • Carroll , R. 1983 . ApplTAnal , 17 : 51 – 62 .
  • Carroll , R. 1982 . CR Roy. Soc, Canada , 4 : 267 – 269 .
  • Carroll , R. 1982 . Rend. Ac cad, hincei , 72 : 65 – 70 .
  • Carroll , R. Least squares, transmutation, and the Marcenko equation , CR Roy. Soc. Canada, to appear .
  • Carroll , R. Some inversion theorans of Fourier type , Rev, Roum. Math. Pures Appl., to appear .
  • Carroll , R. Transmutation and linear stochastic estimation , Appl. Anal., to appear .
  • Carroll , P. 1983 . CR Roy. Soc. Canada , 5 : 87 – 90 .
  • Carroll , R. and Gilbert , J. 1981 . Math. Annalen , 258 : 39 – 54 .
  • Carroll , R. and Santosa , F. 1981 . Math, Meth. Appl.Sci , 3 : 145 – 171 .
  • Carroll , R. and Santosa , F. 1982 . Math. Meth. Appl, Sci , 4 : 33 – 73 .
  • Carroll , R. Transmutation theory, hook in preparation
  • Carroll , R. and Santosa , F. 1983 . Conf. Inverse Scattering . JLAM , 4 : 230 – 244 .
  • Carroll , R. and Santosa , F. 1983 . CU Roy. Soc. Canada , 5 : 223 – 228 .
  • Chadan , K. and Sasatioc , P. 1977 . Inverse problems in quantum scatter-iny theory , n.Y : Springer .
  • Chebli , H. 1979 . J.Math Pures Appl. , 58 : 1 – 19 .
  • Deitf , P. and Trubowitz , E. 1979 . Comm. Pure Appl. Math , 32 : 121 – 250 .
  • Fadeev , L. 1959 . Uspekhi Mat. Nauk , 14 : 57 – 119 .
  • Fadeev , L. 1974 . Uspekhi Mat. Nauk , 31 : 93 – 180 .
  • Flensted-Jansen , M. 1972 . Ark. Mat. , 10 : 143 – 162 .
  • Hutson , V. 1965 . J.Math.Mech , 14 : 807 – 819 .
  • Hutson , V. and Pym , J. 1972 . Proc.Lond.Math.soc. , 24 : 548 – 576 .
  • Kay , I. and Moses , H. 1982 . Inverse scattering papers , Math. Sec. Press .
  • Koornwinder , T. 1979 . Ark.Mat. , 13 : 145 – 159 .
  • Moses , H. 1977 . J.Math.Physics. , 18 : 2243 – 2250 .
  • Moses , H. 1979 . J.Math.Physics. , 20 : 2047 – 2053 .
  • Newton , R. 1979 . Conf. Inverse scattering . SIAM , 20 : 1 – 74 .
  • Stone , M. 1928 . Math.Zeit. , 28 : 654 – 676 .
  • Titchmarsh , E. 1946 . Eigenfunction expansions associated with second order differential equations , Oxford Univ. Press .
  • Trimeche , K . 1981 . J.Math.Pures Appl , 60 : 51 – 98 .
  • Carroll , R. 1984 . J. Math, Physics , 25 : 91 – 93 .
  • Carroll , R. The Marcenko equation as a minimizing criterion
  • Carroll , R. and Santosa , F. Impedance profile recovery from transmission data

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