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Approximation of the Dirichlet problem on a half space

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Acta Mathematica

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References

  1. Arens, R. &Singer, I. M., Generalized Analytic Functions.Transactions AMS, 81 (1956), 379–393.

    Article  MathSciNet  Google Scholar 

  2. Krein, M. G., Integral Equations on a Half-Line with Kernal Depending on the Difference of the Arguments.Uspehi Mat. Nauk, 13 (1958), 3–120;AMS Translations, 22 (1962), 163–288.

    MATH  Google Scholar 

  3. Levin B. Ja.,Distribution of Zeros Entire Functions, AMS, Providence, 1964.

    Google Scholar 

  4. Lions, J. L. &Magenes, E.,Problèmes aux Limites non Homogènes, vol. 1. Dunod, Paris, 1968.

    Google Scholar 

  5. Rickart, C. E.,Banach Algebras, Van Nostrand, Princeton, 1960.

    Google Scholar 

  6. Thomée, V., Elliptic Difference Operators and Dirichlet's Problem.Contributions to Differential Eq., 3 (1964), 301–324.

    MATH  Google Scholar 

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  1. Massachusetts Institute of Technology, Cambridge, Mass, USA

    David G. Schaeffer

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  1. David G. Schaeffer
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Research supported under NSF grant 22927.

Reference [2] may be helpful to the reader unfamiliar with the Wiener-Hopf theory. In [6] Thomée proved the convergence of the difference scheme described in formula (1.5) of this paper; elliptic difference operators were first defined by him.

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Schaeffer, D.G. Approximation of the Dirichlet problem on a half space. Acta Math. 129, 281–295 (1972). https://doi.org/10.1007/BF02392218

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