@incollection{AST_1981__89-90__11_0,
author = {Kaneko, A.},
title = {On continuation of real analytic solutions of linear partial differential equations},
booktitle = {Analytic solutions of partial differential equations - Trento, 1981},
series = {Ast\'erisque},
pages = {11--44},
year = {1981},
publisher = {Soci\'et\'e math\'ematique de France},
number = {89-90},
mrnumber = {666402},
zbl = {0518.35007},
language = {en},
url = {https://www.numdam.org/item/AST_1981__89-90__11_0/}
}
TY - CHAP AU - Kaneko, A. TI - On continuation of real analytic solutions of linear partial differential equations BT - Analytic solutions of partial differential equations - Trento, 1981 AU - Collectif T3 - Astérisque PY - 1981 SP - 11 EP - 44 IS - 89-90 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_1981__89-90__11_0/ LA - en ID - AST_1981__89-90__11_0 ER -
%0 Book Section %A Kaneko, A. %T On continuation of real analytic solutions of linear partial differential equations %B Analytic solutions of partial differential equations - Trento, 1981 %A Collectif %S Astérisque %D 1981 %P 11-44 %N 89-90 %I Société mathématique de France %U https://www.numdam.org/item/AST_1981__89-90__11_0/ %G en %F AST_1981__89-90__11_0
Kaneko, A. On continuation of real analytic solutions of linear partial differential equations, dans Analytic solutions of partial differential equations - Trento, 1981, Astérisque, no. 89-90 (1981), pp. 11-44. https://www.numdam.org/item/AST_1981__89-90__11_0/
[1] Partial differential equations and analytic continuation, Proc. Nat Acad. Sci. 38 (1952), 227-230. | MR | Zbl | DOI
[1] Propagation des singularités différentiables pour des opérateurs à coefficients analytiques, Astérisque 34-35 (1976), 43-91. | Zbl | EuDML | MR
[1] La Transformation de Fourier Complexe et l'Equation de Convolution, Lecture Notes in Math. 325, Springer, (1973). | MR | Zbl
[1] A new proof and an extension of Hartogs' theorem, Bull. Amer. Math. Soc. 67 (1961), 507-509. | MR | Zbl | DOI
[2] Fourier Analysis in Several Complex Variables, J. Wiley-Inter-science, 1970. | MR | Zbl
[1]On solutions with isolated singularities for partial differential equations with constant coefficients, Trudy Moskov. Mat. Obšč. 15 (1966), 262-278 (in Russian). | MR | Zbl
[1] Einige Folgerungen aus der Cauchyschen Integralformel bei Funktionen mehrer Veränderlichen, Sitzb. Münchener Acad. 36 (1906), 223. | JFM
[1] On continuation of regular solutions of partial differential equations to compact convex sets, J. Fac. Sei. Univ. Tokyo, Sec. IA, 17 (1970), 567-580. | MR | Zbl
[2] On continuation of regular solutions of partial differential equations to compact convex sets II, ibid. 18 (1971), 415-433. | Zbl
[3] Fundamental Principle and extension of solutions of linear partial differential equations with constant coefficients. Lecture Notes in Math. 287, Springer, (1973), 122-134. | MR | Zbl
[4] On continuation of regular solutions of partial differential equations with constant coefficients, J. Math. Soc. Japan 26 (1974), 92-123. | Zbl | MR | DOI
[5] Remarks on hyperfunctions with analytic parameters, J. Fac. Sci. Univ. Tokyo, Sec. IA 22 (1975), 371-407. | MR | Zbl
[6] Remarks on hyperfunctions with analytic parameters II, ibid. 25 (1978), 67-73. | MR | Zbl
[7] On continuation of regular solutions of linear partial differential equations with real analytic coefficients, Proc. Japan Acad. 51 (1975), Suppl. 798-801. | MR | Zbl | DOI
[8] Singular spectrum of boundary values of solutions of partial differential equations with real analytic coefficients. Sci. Pap. Col. Gen. Educ. Univ. Tokyo 25 (1975), 59-68 ; Correction in [12], Appendix B. | Zbl | MR
[9] On continuation of regular solutions of linear partial differential equations, Publ. RIMS Kyoto Univ. 12, Suppl. (1977), 113-121. | Zbl | MR | DOI
[10] Prolongement des solutions régulières de l'équation aux dérivées partielles a coefficients constants. Séminaire Goulaouic-Schwartz 1976-77, Exposé no 18. | MR | Zbl | Numdam
[11] Introduction a la théorie des hyperfonctions I, II, Cours de DEA, Univ. de Grenoble, (1977-78). Revised edition in Japanese : Chôkansû-Nyûmon, part. I, Univ. of Tokyo Press, 1980.
[12] Estimation of singular spectrum of boundary values for some semi-hyperbolic operators, J. Fac. Sci. Univ. Tokyo Sec. IA 27 (1980), 401-461. | MR | Zbl
[13] On the propagation of micro-analyticity along the boundary, submitted to J. Fac. Sci. Univ. Tokyo, Sec. IA. | MR | Zbl
and [1] On the boundary value problem for elliptic system of linear differential equations II, Proc. Japan Acad. 49 (1973), 164-168. | MR | Zbl | DOI
[1] On the theory of Radon transformations of hyperfunctions, J. Fac. Sci. Univ. Tokyo Sec. IA (to appear). | MR | Zbl
[2] Micro-local theory of boundary value problems I. Theory of mild hyperfunctions and Green's formula, J. Fac. Sci. Univ. Tokyo, Sec. IA 27 (1980), 355-399. | MR | Zbl
[3] Micro-local theory of boundary value problems II. Theorems on regularity up to the boundary for reflective and diffractive operators, ibid. 28 (1981), 31-56. | Zbl | MR
[1] 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. | Zbl | MR
[2] Construction of local elementary solutions for linear partial differential operators with real analytic coefficients I, Publ. RIMS Kyoto Univ. 17 (1971), 363-397. | MR | Zbl | DOI
[1] Relative cohomology of sheaves of solutions of differential equations. Séminaire Lions-Schwartz 1966-67. Reprint: Lecture Notes in Math. 287, Springer, 1973, pp. 192-261. | Zbl | MR
[2] A local version of Bochner's tube theorem, J. Fac. Sci. Univ. Tokyo Sec. IA 19 (1972), 201-214. | MR | Zbl
and [1] Boundary values of hyperfunction solutions of linear partial differential equations, Publ. RIMS Kyoto Univ. 7 (1971), 95-104. | MR | Zbl | DOI
[l] Sur les systèmes différentiels à coefficients constants, Séminaire Leray, 1961-62. | EuDML | Zbl
[1] Edge of the wedge theorem and hyperfunction. Lecture Notes in Math. 287, Springer, 1971, pp. 41-81. | Zbl | MR
[1] Linear differential equations with constant coefficients, Moskva, (1967), (in Russian). English translation: Springer, 1970 ; Japanese translation: Yoshioka, 1972-73. | MR | Zbl
[1] Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Grösse, Gesam. Math. Werke, pp. 3-48.
, and (S-K-K) [1] Microfunctions and pseudo-differential equations, Lecture Notes in Math. 287, Springer 1973, pp. 263-529. | MR | Zbl
[1] Problème de Dirichlet et solutions des hyperfonctions des équations elliptiques, Bull. UMI (4), 3 (1969), 367-372. | MR | Zbl
[2] Propagation at the boundary and reflection of analytic singularities of solutions of linear partial differential equations I, Publ. RIMS Kyoto Univ. 12 Suppl. (1977), 441-453. | MR | Zbl | DOI
[3] Propagation au bord et reflexion des singularités analytiques des solutions des équations aux dérivées partielles II, Séminaire Goulaouic-Schwartz 1976-77, Exposé n. 9. | Zbl | EuDML | MR | Numdam
[1] Sur la propagation des singularités analytiques pour certains problèmes de Dirichlet, C. R. Acad. Sc. Paris 288 (1979), 673-674. | MR | Zbl







