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Hyperfunction solutions of differential-operator equations

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Literature Cited

  1. P. Shapiro, The Theory of Hyperfunctions [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  2. S. Ouchi, “On abstract Cauchy problems in the sense of hyperfunctions,” Lect. Notes Math.,287, Springer-Verlag, New York (1973), pp. 135–152.

    Google Scholar 

  3. M. Sato, “Theory of hyperfunctions. I,” J. Fac. Sci. Univ. Tokyo,8, No. 1, 139–193 (1959).

    Google Scholar 

  4. H. Komatsu, “An introduction to the theory of hyperfunctions,” in: Lect. Notes Math.,287, Springer-Verlag, New York (1973), pp. 3–40.

    Google Scholar 

  5. H. G. Tillmann, “Darstellung vektorwertigen Distributionen durch holomorphe Funktionen,” Math. Ann.,151, No. 4, 286–295 (1963).

    Google Scholar 

  6. L. Schwartz, “Distributions à valeurs vectorielles,” Ann. Inst. Fourier,7, 1–141 (1957);8, 1–209 (1958).

    Google Scholar 

  7. E. Hille and R. Phillips, Functional Analysis and Semigroups, Amer. Math. Soc., Rhode Island.

  8. N. I. Akhiezer, Theory of Approximation, Ungar (1956).

  9. B. Ya. Levin, Distribution of Zeros of Entire Functions, Amer. Math. Soc. (1972).

  10. J. Friberg, Estimates for Partially Hypoelliptic Differential Operators, Lund (1963).

  11. E. Bishop, “Analytic functions with values in a Fréchet space,” Pac. J. Math.12, 1177–1192 (1962).

    Google Scholar 

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“Énergoset'proekt” Institute, Kiev. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 4, pp. 778–791, July–August, 1979.

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Kochubei, A.N. Hyperfunction solutions of differential-operator equations. Sib Math J 20, 544–554 (1979). https://doi.org/10.1007/BF00970368

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  • DOI: https://doi.org/10.1007/BF00970368

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