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Schwartz distributions as boundary values ofn-harmonic functions

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Bibliography

  1. Bergman, S., Functions of Extended Class in the Theory of Functions of Several Complex Variables,Trans. Amer. Math. Soc., Vol.63 (1948), pp. 523–547.

    Article  MathSciNet  MATH  Google Scholar 

  2. Bergman, S., The Kernel Function and Conformal Mapping,Mathem. Surveys, Amer. Math. Soc, No. 5, New York 1950.

  3. Bremermann, H. J. and Durand, L., III, On Analytic Continuation, Multiplication, and Fourier Transformations of Schwartz Distributions,Journal of Mathem. Phys., Vol.2 (1961), pp. 240–258.

    Article  MathSciNet  MATH  Google Scholar 

  4. Bremermann, H. J., On a generalized Dirichlet problem for plurisubharmonic funtions and pseudo-convex domains,Trans. Amer. Math. Soc, Vol.91 (1959), pp. 246–276.

    MathSciNet  MATH  Google Scholar 

  5. Bremermann, H. J., Distributions, Complex Variables, and Fourier Transforms, monograph to appear at Addison Wesley, Reading, Mass. 1965.

  6. Courant, R. and Hilbert, D., Methods of Mathematical Physics, Vol. II. Interscience Publ., New York 1962.

    MATH  Google Scholar 

  7. Köthe, G., Die Randverteilungen analytischer Funktionen,Math. Zeitschrift, Vol.57 (1952), pp. 13–33.

    Article  MathSciNet  MATH  Google Scholar 

  8. Meschovwski, H., Hilbertsche RÄume mit Kernfunktion, Springer, Berlin, 1962.

    Book  MATH  Google Scholar 

  9. Sato, M., On a generalization of the concept of function,Proc Japan Academy, Vol.34 (1958), pp. 126–130.

    Article  MATH  Google Scholar 

  10. Sato, M., Theory of hyperfunctions I and II,J. Fac Univ. Tokyo, Sect. I 8 (1959), pp. 139–193 and (1960), pp. 387–437.

    MATH  Google Scholar 

  11. Schwartz, L., Théorie des Distributions, Hermann, Paris, Vol.1 and2, 1950, 1951.

  12. Szegö, G., über orthogonale Polynome, die zu einer gegebenen Kurve der komplexen Ebene gehören,Math. Zeitschr., Vol.9 (1921), pp. 218–270.

    Article  MATH  Google Scholar 

  13. Tillmann, H. G., Distributionen als Randverteilungen analytischer Funktionen II,Math. Zeitschr., Vol. (1961), pp. 5–21.

  14. Tillmann, H. G., Darstelung der Schwartzschen Distributionen durch analytische Funktionen,Math. Zeitschr., Vol.77 (1961), pp. 106–124.

    Article  MathSciNet  MATH  Google Scholar 

  15. Vladimirov, V. C., On the Construction of Envelopes of Holomorphy for Fields of Special Form and Applications. (Russian).Akademiia Nauk SSSR, Mathematicheskii Institut, Trudy, Vol.60 (1961), pp. 100–144.

    Google Scholar 

  16. Wightman, A. S., Some mathematical problems of relativistic quantum field theory, Notes Instituto di Fisica Teorica, Universita di Napoli, 1957.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, California, USA

    H. J. Bremermann

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  1. H. J. Bremermann
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Supported in part by the National Science Foundation under grant G-25224.

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Bremermann, H.J. Schwartz distributions as boundary values ofn-harmonic functions. J. Anal. Math. 14, 5–13 (1965). https://doi.org/10.1007/BF02806377

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