Proceedings of the Japan Academy

A proof of Ehrenpreis' fundamental principle in hyperfunctions

Toshio Oshima

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 50, Number 1 (1974), 16-18.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195519103

Digital Object Identifier
doi:10.3792/pja/1195519103

Mathematical Reviews number (MathSciNet)
MR0369881

Zentralblatt MATH identifier
0302.35069

Subjects
Primary: 35C15: Integral representations of solutions
Secondary: 46F15: Hyperfunctions, analytic functionals [See also 32A25, 32A45, 32C35, 58J15]

Citation

Oshima, Toshio. A proof of Ehrenpreis' fundamental principle in hyperfunctions. Proc. Japan Acad. 50 (1974), no. 1, 16--18. doi:10.3792/pja/1195519103. https://projecteuclid.org/euclid.pja/1195519103


Export citation

References

  • [1] Ehrenpreis, L.: A fundamental principle for systems of linear differential equations with constant coefficients and some of its applications. Proc. Intern. Symp. on Linear Spaces, Jerusalem, pp. 161-174 (1961).
  • [2] Ehrenpreis, L.: Fourier Analysis in Several Complex Variables. Wiley-Interscience, New York (1970).
  • [3] Kaneko, A.: Representation of hyperf unctions by measures and some of its applications. J. Fac. Sci. Univ. Tokyo Sect IA, 19, 321-357 (1972).
  • [4] Kaneko, A.: Fundamental principle and extension of solution of linear differential equations with constant coefficients. Hyperfunctions and Pseudo-Differential Equations, Proceeding of a Conference at Katata, 1971, Lecture Notes in Math. No. 287, Springer, Berlin, pp. 122-134 (1973).
  • [5] Komatsu, H.: Resolution by hyperfunctions of sheaves of solutions of differential equations with constant coefficients. Math. Ann., 176, 77-86 (1968).
  • [6] Palamodov, V. P.: Linear Differential Operators with Constant Coefficients (in Russian, Japanese translation, Yoshioka, Kyoto, 1973). Nauka Moscow (1967).