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The fourier integral and the expansion problem for ordinary differential operators

  • Harold E. Benzinger
Part I
Part of the Lecture Notes in Mathematics book series (LNM, volume 183)

Keywords

Continuous Spectrum Spectral Measure FOURIER Integral Spectral Singularity Ordinary Differential Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    H.E. Benzinger, Green's function for ordinary differential operators, J. Differential Equations 7 (1970), 478–496.MathSciNetCrossRefzbMATHGoogle Scholar
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    H.E. Benzinger, Equiconvergence for singular differential operators, J. Math. Anal. Appl. 32 (1970).Google Scholar
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    R.R.D. Kemp, A singular boundary-value problem for a non-self-adjoint differential operator, Canad. J. Math. 10 (1958), 447–462.MathSciNetCrossRefzbMATHGoogle Scholar
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    M.A. Naimark, Investigation of the spectrum and the expansion in eigenfunctions of a non-self-adjoint operator of the second order on a semi-axis, Trudy Moskov Mat. Obsc. 3 (1954), 181–270; Translations, A.M.S., Series II 16 (1960), 103–194.MathSciNetGoogle Scholar
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    J.T. Schwartz, Some non-self-adjoint operators, Comm. Pure Appl. Math. 21 (1968), 25–49.MathSciNetCrossRefGoogle Scholar
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    V.E. Ljance, A differential operator with spectral singularities, I, II, Mat. Sb. 64 (106) (1964), 521–561; 65 (107) (1964), 47–103; Translations, A.M.S. Series II, 60 (1967), 185–283.MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • Harold E. Benzinger
    • 1
  1. 1.University of IllinoisUSA

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