Kawai, Takahiro; Matsuzawa, Tadato On the boundary value of a solution of the heat equation. (English) Zbl 0696.35066 Publ. Res. Inst. Math. Sci. 25, No. 3, 491-498 (1989). Reviewer: T.Kawai MSC: 35K05 46F15 PDFBibTeX XMLCite \textit{T. Kawai} and \textit{T. Matsuzawa}, Publ. Res. Inst. Math. Sci. 25, No. 3, 491--498 (1989; Zbl 0696.35066) Full Text: DOI
Kawai, Takahiro Systems of linear differential equations of infinite order: An aspect of infinite analysis. (English) Zbl 0694.35225 Theta functions, Proc. 35th Summer Res. Inst. Bowdoin Coll., Brunswick/ME 1987, Proc. Symp. Pure Math. 49, Pt. 1, 3-17 (1989). Reviewer: T.Kawai MSC: 35R50 35A27 35N99 58J15 46F15 PDFBibTeX XML
Kawai, Takahiro On the global existence of real analytic solutions and hyperfunction solutions of linear differential equations. (English) Zbl 0652.35017 J. Fac. Sci., Univ. Tokyo, Sect. I A 34, 791-803 (1987). Reviewer: T.Kawai MSC: 35G05 35A27 35D05 35A20 46F15 PDFBibTeX XMLCite \textit{T. Kawai}, J. Fac. Sci., Univ. Tokyo, Sect. I A 34, 791--803 (1987; Zbl 0652.35017)
Kawai, Takahiro A differential equation theoretic interpretation of a geometric result of Hartogs. (English) Zbl 0605.32004 Proc. Am. Math. Soc. 98, 222-224 (1986). Reviewer: L.Nachbin MSC: 32D20 32D05 35N10 35N05 46F15 PDFBibTeX XMLCite \textit{T. Kawai}, Proc. Am. Math. Soc. 98, 222--224 (1986; Zbl 0605.32004) Full Text: DOI
Kawai, Takahiro The Fabry-Ehrenpreis gap theorem for hyperfunctions. (English) Zbl 0554.46017 Proc. Japan Acad., Ser. A 60, 276-278 (1984). MSC: 46F15 42B05 35A99 PDFBibTeX XMLCite \textit{T. Kawai}, Proc. Japan Acad., Ser. A 60, 276--278 (1984; Zbl 0554.46017) Full Text: DOI
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro Linear Differential equations of infinite order and theta functions. (English) Zbl 0546.35047 Adv. Math. 47, 300-325 (1983). MSC: 35N99 35S99 33E99 46F15 PDFBibTeX XMLCite \textit{M. Sato} et al., Adv. Math. 47, 300--325 (1983; Zbl 0546.35047) Full Text: DOI
[Noumi, Masatoshi; Uchikoshi, Keisuke; Ishii, Tadashi; Fujimoto, Yoshihisa; Morimoto, Mitsuo; Kawai, Takahiro; Kataoka, Kiyōmi; Aoki, Takashi; Komatsu, Hikosaburō; Mulase, Motohiko; Yano, Tamaki] Microfunctions and linear differential equations. VII. Proceedings of a Symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, March 24-26, 1980. (Japanese) Zbl 0562.46025 RIMS Kôkyûroku, 410. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. II, 153 p. (1980). MSC: 46F15 46-06 35-06 58-06 58C07 PDFBibTeX XML
Kashiwara, Masaki; Kawai, Takahiro Second-microlocalization and asymptotic expansions. (English) Zbl 0458.46027 Complex analysis, microlocal calculus and relativistic quantum theory, Proc. Colloq., Les Houches 1979, Lect. Notes Phys. 126, 21-76 (1980). MSC: 46F99 41A60 81Q99 58J99 30E15 46F15 PDFBibTeX XML
Kawai, Takahiro Extended Landau variety and the singularity spectrum of position-space Feynman amplitudes. (English) Zbl 0454.46035 Publ. Res. Inst. Math. Sci. 15, 767-772 (1979). MSC: 46F99 46F15 81Q30 PDFBibTeX XMLCite \textit{T. Kawai}, Publ. Res. Inst. Math. Sci. 15, 767--772 (1979; Zbl 0454.46035) Full Text: DOI
Kashiwara, Masaki; Kawai, Takahiro Micro-local analysis of Feynman amplitudes. (English) Zbl 0454.46034 Semin. on micro-local analysis, Inst. adv. Study., Princeton/ New Jersey 1977-78, Ann. Math. Stud. 93, 123-137 (1979). MSC: 46F99 46F15 46F20 81Q30 PDFBibTeX XML
Kashiwara, Masaki; Kawai, Takahiro Some applications of boundary value problems for elliptic systems of linear differential equations. (English) Zbl 0454.46033 Semin. on micro-local analysis, Inst. adv. Study., Princeton/ New Jersey 1977-78, Ann. Math. Stud. 93, 39-61 (1979). MSC: 46F99 32C35 32A45 35J55 46F15 46F20 PDFBibTeX XML
Kashiwara, Masaki; Kawai, Takahiro On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\). (English) Zbl 0449.35067 Publ. Res. Inst. Math. Sci. 15, 551-575 (1979). MSC: 35N10 35G05 35A99 46F15 14E15 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{T. Kawai}, Publ. Res. Inst. Math. Sci. 15, 551--575 (1979; Zbl 0449.35067) Full Text: DOI
Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio A study of Feynman integrals by micro-differential equations. (English) Zbl 0392.46025 Commun. Math. Phys. 60, 97-130 (1978). MSC: 46F15 81Q30 PDFBibTeX XMLCite \textit{M. Kashiwara} et al., Commun. Math. Phys. 60, 97--130 (1978; Zbl 0392.46025) Full Text: DOI
Kawai, Takahiro; Nakamura, Gen Microlocal properties of local elementary solutions for Cauchy problems for a class of hyperbolic linear differential operators. (English) Zbl 0389.35032 Publ. Res. Inst. Math. Sci., Kyoto Univ. 14, 415-439 (1978). MSC: 35L30 35D10 46F15 PDFBibTeX XMLCite \textit{T. Kawai} and \textit{G. Nakamura}, Publ. Res. Inst. Math. Sci. 14, 415--439 (1978; Zbl 0389.35032) Full Text: DOI
Kawai, Takahiro Vanishing of cohomology groups on completely k-convex sets. (English) Zbl 0369.32007 Publ. Res. Inst. Math. Sci., Kyoto Univ. 11, 775-784 (1976). MSC: 32F10 32D20 35E10 46F15 32C35 PDFBibTeX XMLCite \textit{T. Kawai}, Publ. Res. Inst. Math. Sci. 11, 775--784 (1976; Zbl 0369.32007) Full Text: DOI
Kashiwara, Masaki; Kawai, Takahiro On a conjecture of Regge and Sato on Feynman integrals. (English) Zbl 0347.35061 Proc. Japan Acad. 52, 161-164 (1976). MSC: 35N10 35G05 35A99 46F15 14E15 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{T. Kawai}, Proc. Japan Acad. 52, 161--164 (1976; Zbl 0347.35061) Full Text: DOI
Kawai, Takahiro Extension of hyperfunction solutions of linear differential equations with constant coefficients. (English) Zbl 0337.35011 Proc. Am. Math. Soc. 59, 311-316 (1976). MSC: 35E10 46F15 PDFBibTeX XMLCite \textit{T. Kawai}, Proc. Am. Math. Soc. 59, 311--316 (1976; Zbl 0337.35011) Full Text: DOI
Kawai, Takahiro On the propagation of analyticity of solutions of systems of linear differential equations with constant coefficients. (English) Zbl 0357.46048 J. Fac. Sci., Univ. Tokyo, Sect. I A 22, 267-270 (1975). MSC: 46F15 47F05 35D99 PDFBibTeX XMLCite \textit{T. Kawai}, J. Fac. Sci., Univ. Tokyo, Sect. I A 22, 267--270 (1975; Zbl 0357.46048)
Ion, Patrick D. F.; Kawai, Takahiro Theory of vector-valued hyperfunctions. (English) Zbl 0321.46033 Publ. Res. Inst. Math. Sci., Kyoto Univ. 11, 1-19 (1975). MSC: 46F15 PDFBibTeX XMLCite \textit{P. D. F. Ion} and \textit{T. Kawai}, Publ. Res. Inst. Math. Sci. 11, 1--19 (1975; Zbl 0321.46033) Full Text: DOI
Kawai, Takahiro Pseudo-differential operators acting on the sheaf of microfunctions. (English) Zbl 0308.35082 Hyperfunct. theoret. Phys., Rencontre Nice 1973, Lect. Notes Math. 449, 54-69 (1975). MSC: 35S05 35N10 47Gxx 46F15 PDFBibTeX XML
Kashiwara, Masaki; Kawai, Takahiro Micro-hyperbolic pseudo-differential operators. I. (English) Zbl 0305.35066 J. Math. Soc. Japan 27, 359-404 (1975). MSC: 35L30 35S10 35G10 35G99 65H10 46F15 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{T. Kawai}, J. Math. Soc. Japan 27, 359--404 (1975; Zbl 0305.35066) Full Text: DOI
Kashiwara, Masaki; Kawai, Takahiro Micro-local properties of \(\prod^n_{j=1}f^{S_j}_{j^+}\). (English) Zbl 0304.35068 Proc. Japan Acad. 51, 270-272 (1975). MSC: 35N99 46F15 14E15 58J99 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{T. Kawai}, Proc. Japan Acad. 51, 270--272 (1975; Zbl 0304.35068) Full Text: DOI
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki Microfunctions and pseudo-differential equations. (English) Zbl 0277.46039 Hyperfunctions pseudo-diff. Equations, Proc. Conf. Katata 1971, Lect. Notes Math. 287, 263-529 (1973). Reviewer: Gunter Bengel (Münster) MSC: 46F15 35S05 46-02 35-02 58J40 46M99 PDFBibTeX XML