On continuation of regular solutions of partial differential equations with constant coefficients

Akira KANEKO

doi:10.2969/jmsj/02610092

Akira KANEKO

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1974 Volume 26 Issue 1 Pages 92-123

DOI https://doi.org/10.2969/jmsj/02610092

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Published: 1974 Received: October 04, 1972 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Akira KANEKO¹⁾
Right : Akira KANEKO¹⁾²⁾

Date of correction: September 29, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Mathematics Faculty of Science University of Tokyo

Right :
1) Department of Mathematics Faculty of Science University of Tokyo
2) Department of Mathematics College of General Education University of Tokyo

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) V. V. Grušin, On solutions with isolated singularities for partial differential equations with constant coefficients, Trudy Moskov. Mat. Obšc., 15 (1966), 262-278.
2) L. Hörmander, Linear Partial Differential Operators, Springer, 1963.
3) A. Kaneko, On continuation of regular solutions of partial differential equations to compact convex sets, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 567-580.
4) A. Kaneko, On continuation of regular solutions of partial differential equations to compact convex sets, II, Ibid. 18 (1972), 415-433.
5) A. Kaneko, Representation of hyperfunctions by measures and some of its applications, Ibid., 19 (1972), 321-352.
6) A. Kaneko, On continuation of regular solutions of partial differential equations with constant coefficients, Proc. Japan Acad., 49 (1973), 17-19.
7) T. Kawai, On the theory of Fourier hyperfunctions and its applications to partial differential equations with constant coefficients, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 467-517. 7bis) T. Kawai, On the theory of Fourier transform of hyperfunctions and its applications, Sûrikaiseki-kenkyûsho Kôkyûroku, 108 (1971), 84-288 (Japanese).
8) H. Komatsu, Resolutions by hyperfunctions of sheaves of solutions of differential equations with constant coefficients, Math. Ann. 176 (1968), 77-86.
9) H. Komatsu, Relative cohomology of sheaves of solutions of differential equations, Sém. Lions-Schwartz, 1966/7 (reprinted in Springer Lecture Notes in Mathematics, No. 287, 1973, 192-261).
10) B. Malgrange, Sur les systèmes différentiels à coefficients constants, Sém. Leray,1962/3.
11) B. Malgrange, Ideals of Differentiable Functions, Tata Institute, 1965.
12) A. Martineau, Sur les fonctionnelles analytiques et la transformation de Fourier-Borel, J. d'Anal. Math., 11 (1963), 1-164.
13) V. P. Palamodov, Linear Differential Operators with Constant Coefficients, Nauka, 1967 (Russian; English translation, Springer, 1970).
14) P. Schapira, Théorème d'unicité de Holmgren et opérateurs hyperboliques dansl'espace des hyperfonctions, Anais Acad. Brasil Sc., 43 (1971), 38-44.

Right : [1] V. V. Grušin, On solutions with isolated singularities for partial differential equations with constant coefficients, Trudy Moskov. Mat. Obšc., 15 (1966), 262-278.
[2] L. Hörmander, Linear Partial Differential Operators, Springer, 1963.
[3] A. Kaneko, On continuation of regular solutions of partial differential equations to compact convex sets, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 567-580.
[4] A. Kaneko, On continuation of regular solutions of partial differential equations to compact convex sets, II, J. Fac. Sci. Univ. Tokyo, Sec. IA, 18 (1972), 415-433.
[5] A. Kaneko, Representation of hyperfunctions by measures and some of its applications, J. Fac. Sci. Univ. Tokyo, Sec. IA, 19 (1972), 321-352.
[6] A. Kaneko, On continuation of regular solutions of partial differential equations with constant coefficients, Proc. Japan Acad., 49 (1973), 17-19.
[7] T. Kawai, On the theory of Fourier hyperfunctions and its applications to partial differential equations with constant coefficients, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 467-517.
[7bis] T. Kawai, On the theory of Fourier transform of hyperfunctions and its applications, Sûrikaiseki-kenkyûsho Kôkyûroku, 108 (1971), 84-288 (Japanese).
[8] H. Komatsu, Resolutions by hyperfunctions of sheaves of solutions of differential equations with constant coefficients, Math. Ann. 176 (1968), 77-86.
[9] H. Komatsu, Relative cohomology of sheaves of solutions of differential equations, Sém. Lions-Schwartz, 1966/7 (reprinted in Springer Lecture Notes in Mathematics, No. 287, 1973, 192-261).
[10] B. Malgrange, Sur les systèmes différentiels à coefficients constants, Sém. Leray,1962/3.
[11] B. Malgrange, Ideals of Differentiable Functions, Tata Institute, 1965.
[12] A. Martineau, Sur les fonctionnelles analytiques et la transformation de Fourier-Borel, J. d'Anal. Math., 11 (1963), 1-164.
[13] V. P. Palamodov, Linear Differential Operators with Constant Coefficients, Nauka, 1967 (Russian; English translation, Springer, 1970).
[14] P. Schapira, Théorème d'unicité de Holmgren et opérateurs hyperboliques dans l'espace des hyperfonctions, Anais Acad. Brasil Sc., 43 (1971), 38-44.

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