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Analytic Theory of Differential Equations pp 23–27Cite as

The fourier integral and the expansion problem for ordinary differential operators

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 183))

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References

  1. H.E. Benzinger, Green's function for ordinary differential operators, J. Differential Equations 7 (1970), 478–496.

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  2. H.E. Benzinger, Equiconvergence for singular differential operators, J. Math. Anal. Appl. 32 (1970).

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  3. R.R.D. Kemp, A singular boundary-value problem for a non-self-adjoint differential operator, Canad. J. Math. 10 (1958), 447–462.

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  4. 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.

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  5. J.T. Schwartz, Some non-self-adjoint operators, Comm. Pure Appl. Math. 21 (1968), 25–49.

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  6. 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.

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Authors and Affiliations

  1. University of Illinois, USA

    Harold E. Benzinger

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  1. Harold E. Benzinger
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P. F. Hsieh A. W. J. Stoddart

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© 1971 Springer-Verlag

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Benzinger, H.E. (1971). The fourier integral and the expansion problem for ordinary differential operators. In: Hsieh, P.F., Stoddart, A.W.J. (eds) Analytic Theory of Differential Equations. Lecture Notes in Mathematics, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060407

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  • DOI: https://doi.org/10.1007/BFb0060407

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05369-9

  • Online ISBN: 978-3-540-36454-2

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