Edit Profile Kawai, Takahiro Compute Distance To: Compute Author ID: kawai.takahiro Published as: Kawai, T.; Kawai, Takahiro Homepage: http://www.kurims.kyoto-u.ac.jp/en/list/KAWAI,%20Takahiro.html External Links: Wikidata · GND Documents Indexed: 168 Publications since 1970, including 11 Books Biographic References: 4 Publications all top 5 Co-Authors 43 single-authored 52 Takei, Yoshitsugu 48 Kashiwara, Masaki 23 Aoki, Takashi 13 Koike, Tatsuya 9 Stapp, Henry P. 7 Kamimoto, Shingo 6 Struppa, Daniele Carlo 5 Honda, Naofumi 4 Oshima, Toshio 4 Sato, Mikio 3 Berenstein, Carlos Alberto 2 Nakamura, Gen 2 Nishikawa, Yukihiro 2 Sasaki, Shunsuke 2 Shudo, Akira 2 Sjöstrand, Johannes 1 Bedford, Eric 1 Ehrenpreis, Leon 1 Farkas, Hershel M. 1 Fujita, Keiko 1 Guillemin, Victor W. 1 Hirose, Sampei 1 Howls, Christopher J. 1 Ihara, Yasutaka 1 Ion, Patrick D. F. 1 Kimura, Tatsuo 1 Komatsu, Hikosaburo 1 Kuchment, Peter A. 1 Matsuzawa, Tadato 1 Morimoto, Mitsuo 1 Quinto, Eric Todd 1 Sternberg, Shlomo 1 Taylor, Alan M. 1 Yau, Shing-Tung all top 5 Serials 20 Publications of the Research Institute for Mathematical Sciences, Kyoto University 18 Proceedings of the Japan Academy 13 Advances in Mathematics 12 RIMS Kokyuroku 10 Proceedings of the Japan Academy. Series A 6 RIMS Kôkyûroku Bessatsu 4 Communications in Mathematical Physics 4 Journal of the Mathematical Society of Japan 3 Journal of the Faculty of Science. Section I A 2 Annales de l’Institut Fourier 2 Journal of Mathematics of Kyoto University 2 Proceedings of the American Mathematical Society 2 Journal of Physics A: Mathematical and General 2 The Asian Journal of Mathematics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Arkiv för Matematik 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Funkcialaj Ekvacioj. Serio Internacia 1 Sūgaku 1 Sugaku Expositions 1 International Journal of Mathematics 1 Notices of the American Mathematical Society 1 Bulletin of the American Mathematical Society 1 Annals of Mathematics Studies 1 Translations of Mathematical Monographs 1 Kyoto Journal of Mathematics 1 SpringerBriefs in Mathematical Physics all top 5 Fields 86 Partial differential equations (35-XX) 54 Ordinary differential equations (34-XX) 34 Several complex variables and analytic spaces (32-XX) 29 Global analysis, analysis on manifolds (58-XX) 27 Quantum theory (81-XX) 26 Functional analysis (46-XX) 15 Operator theory (47-XX) 13 Algebraic geometry (14-XX) 11 General and overarching topics; collections (00-XX) 6 Special functions (33-XX) 4 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 2 Number theory (11-XX) 2 Algebraic topology (55-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 121 Publications have been cited 1,128 times in 634 Documents Cited by ▼ Year ▼ Microfunctions and pseudo-differential equations. Zbl 0277.46039Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki 292 1973 On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033Kashiwara, Masaki; Kawai, Takahiro 105 1981 On the theory of Fourier hyperfunctions and its applications to partial differential equations with constant coefficients. Zbl 0212.46101Kawai, Takahiro 47 1970 Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo 37 1986 Second-microlocalization and asymptotic expansions. Zbl 0458.46027Kashiwara, Masaki; Kawai, Takahiro 30 1980 Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066Kashiwara, Masaki; Kawai, Takahiro 29 1975 Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. Zbl 1100.34004Kawai, Takahiro; Takei, Yoshitsugu 28 2005 On the boundary value problem for elliptic system of linear differential equations. I. Zbl 0271.35028Kashiwara, Masaki; Kawai, Takahiro 26 1972 Boundary values of hyperfunction solutions of linear partial differential equations. Zbl 0225.35032Komatsu, Hikosaburo; Kawai, Takahiro 24 1971 The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005Kashiwara, Masaki; Kawai, Takahiro 23 1987 The Bender-Wu analysis and the Voros theory. Zbl 0782.35060Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 18 1991 On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes 16 1979 Construction of local elementary solutions for linear partial differential operators with real analytic coefficients. I: The case with real principal symbols. Zbl 0216.12303Kawai, Takahiro 15 1971 WKB analysis of Painlevé transcendents with a large parameter. I. Zbl 0848.34005Kawai, Takahiro; Takei, Yoshitsugu 14 1996 The Bender-Wu analysis and the Voros theory. II. Zbl 1175.34112Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 13 2009 WKB analysis of Painlevé transcendents with a large parameter. II: Multiple-scale analysis of Painlevé transcendents. Zbl 0894.34050Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 13 1996 On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019Kashiwara, Masaki; Kawai, Takahiro 13 1979 On the Stokes geometry of higher order Painlevé equations. Zbl 1086.34072Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Takei, Yoshitsugu 12 2004 WKB analysis of Painlevé transcendents with a large parameter. III: Local reduction of 2-parameter Painlevé transcendents. Zbl 0901.34057Kawai, Takahiro; Takei, Yoshitsugu 11 1998 On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\). Zbl 0449.35067Kashiwara, Masaki; Kawai, Takahiro 10 1979 Virtual turning points. Zbl 1354.34003Honda, Naofumi; Kawai, Takahiro; Takei, Yoshitsugu 9 2015 On the exact WKB analysis of operators admitting infinitely many phases. Zbl 1056.34103Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 9 2004 New turning points in the exact WKB analysis for higher-order ordinary differential equations. Zbl 0831.34058Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 9 1994 On the boundary value problem for elliptic system of linear differential equations. II. Zbl 0279.35037Kashiwara, Masaki; Kawai, Takahiro 9 1973 Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations. Zbl 1073.34098Aoki, Takashi; Kawai, Takahiro; Sasaki, Shunsuke; Shudo, Akira; Takei, Yoshitsugu 8 2005 Hodge structure and holonomic systems. Zbl 0629.14006Kashiwara, Masaki; Kawai, Takahiro 8 1986 Holonomic systems of linear differential equations and Feynman integrals. Zbl 0449.35095Kashiwara, Masaki; Kawai, Takahiro 8 1977 Finiteness theorem for holonomic systems of micro-differential equations. Zbl 0361.35064Kashiwara, Masaki; Kawai, Takahiro 8 1976 On a class of linear differential operators of infinite order with finite index. Zbl 0628.35003Aoki, Takashi; Kashiwara, Masaki; Kawai, Takahiro 7 1986 Linear Differential equations of infinite order and theta functions. Zbl 0546.35047Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro 7 1983 A study of Feynman integrals by micro-differential equations. Zbl 0392.46025Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio 7 1978 On the WKB-theoretic structure of a Schrödinger operator with a merging pair of a simple pole and a simple turning point. Zbl 1201.34141Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 6 2010 Interpolating varieties and the Fabry-Ehrenpreis-Kawai gap theorem. Zbl 0890.32007Berenstein, C. A.; Kawai, T.; Struppa, D. C. 6 1996 Algebraic analysis of singular perturbations – on exact WKB analysis. Zbl 0871.32015Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 6 1993 The Fabry-Ehrenpreis gap theorem and linear differential equations of infinite order. Zbl 0618.30003Kawai, Takahiro 6 1987 Microlocal analysis of theta functions. Zbl 0603.10023Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro 6 1984 Microlocal analysis. Zbl 0536.58030Kashiwara, Masaki; Kawai, Takahiro 6 1983 Some applications of boundary value problems for elliptic systems of linear differential equations. Zbl 0454.46033Kashiwara, Masaki; Kawai, Takahiro 6 1979 Micro-analytic structure of the S-matrix and related functions. Zbl 0443.35059Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P. 6 1977 Discontinuity formula and Sato’s conjecture. Zbl 0368.35067Kawai, Takahiro; Stapp, Henry P. 6 1977 Theory of vector-valued hyperfunctions. Zbl 0321.46033Ion, Patrick D. F.; Kawai, Takahiro 6 1975 Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics. I. Zbl 0307.35081Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio 6 1974 On the structure of single linear pseudo-differential equations. Zbl 0297.35069Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki 6 1972 On the global existence of real analytic solutions of linear differential equations. I. Zbl 0234.35012Kawai, T. 6 1972 Construction of elementary solutions for I-hyperbolic operators and solutions with small singularities. Zbl 0216.12301Kawai, Takahiro 6 1970 WKB analysis of higher order Painlevé equations with a large parameter – local reduction of 0-parameter solutions for Painlevé hierarchies \((P_{J})\) (\(J=\text{ I, II-1 or II-2}\)). Zbl 1108.34065Kawai, Takahiro; Takei, Yoshitsugu 5 2006 Secular equations through the exact WKB analysis. Zbl 0834.34068Kawai, Takahiro; Takei, Yoshitsugu 5 1994 Extension of solutions of systems of linear differential equations. Zbl 0366.58013Kawai, Takahiro 5 1976 On a conjecture of Regge and Sato on Feynman integrals. Zbl 0347.35061Kashiwara, Masaki; Kawai, Takahiro 5 1976 Theorems on the finite-dimensionality of cohomology groups. IV. Zbl 0303.35057Kawai, Takahiro 5 1973 Finite-dimensionality of cohomology groups attached to systems of linear differential equations. Zbl 0256.35059Kawai, Takahiro 5 1973 Pseudo-differential operators in the theory of hyperfunctions. Zbl 0229.47034Kashiwara, Masaki; Kawai, Takahiro 5 1970 Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. II: Its relevance to the Mathieu equation and the Legendre equation. Zbl 1293.35301Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 4 2014 On the exact WKB analysis of microdifferential operators of WKB type. Zbl 1079.34070Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 4 2004 Overconvergence phenomena and grouping in exponential representation of solutions of linear differential equations of infinite order. Zbl 0984.30003Kawai, Takahiro; Struppa, Daniele C. 4 2001 On the exact WKB analysis for the third order ordinary differential equations with a large parameter. Zbl 0963.34045Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 4 1998 On the existence of holomorphic solutions of systems of linear differential equations of infinite order and with constant coefficients. Zbl 0704.35015Kawai, Takahiro; Struppa, Daniele C. 4 1990 The Poincaré lemma for a variation of polarized Hodge structure. Zbl 0576.14010Kashiwara, Masaki; Kawai, Takahiro 4 1985 Seminar on micro-local analysis. Zbl 0409.00007Guillemin, Victor W.; Kashiwara, Masaki; Kawai, Takahiro 4 1979 Holonomic character and local monodromy structure of Feynman integrals. Zbl 0367.46039Kashiwara, Masaki; Kawai, Takahiro 4 1977 Micro-local properties of \(\prod^n_{j=1}f^{S_j}_{j^+}\). Zbl 0304.35068Kashiwara, Masaki; Kawai, Takahiro 4 1975 Theorems on the finite-dimensionality of cohomology groups. III. Zbl 0303.35056Kawai, Takahiro 4 1973 Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. I: Its WKB-theoretic transformation to the Mathieu equation. Zbl 1293.35300Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 3 2014 On the exact steepest descent method: a new method for the description of Stokes curves. Zbl 1063.34047Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 3 2001 Infrared catastrophe in a massless Feynman function. Zbl 0809.46088Kawai, T.; Stapp, H. P. 3 1993 On the boundary value of a solution of the heat equation. Zbl 0696.35066Kawai, Takahiro; Matsuzawa, Tadato 3 1989 Poisson’s summation formula and Hamburger’s theorem. Zbl 0499.10042Ehrenpreis, Leon; Kawai, Takahiro 3 1982 On the regular holonomic character of the S-matrix and microlocal analysis of unitarity-type integrals. Zbl 0491.35066Kawai, Takahiro; Stapp, Henry P. 3 1982 The theory of holonomic systems with regular singularities and its relevance to physical problems. Zbl 0459.70013Kashiwara, Masaki; Kawai, Takahiro 3 1980 Micro-local analysis of Feynman amplitudes. Zbl 0454.46034Kashiwara, Masaki; Kawai, Takahiro 3 1979 Micro-analyticity of the S-matrix and related functions. Zbl 0424.35078Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P. 3 1979 Microlocal properties of local elementary solutions for Cauchy problems for a class of hyperbolic linear differential operators. Zbl 0389.35032Kawai, Takahiro; Nakamura, Gen 3 1978 Theory of elliptic boundary value problems and its applications. Zbl 0376.35022Kashiwara, Masaki; Kawai, Takahiro 3 1975 Theorems on the finite -dimensionality of cohomology groups. I. Zbl 0249.58014Kawai, Takahiro 3 1972 Construction of a local elementary solution for linear partial differential operators. I, II. Zbl 0216.12302Kawai, Takahiro 3 1971 Microlocal analysis of fixed singularities of WKB solutions of a Schrödinger equation with a merging triplet of two simple poles and a simple turning point. Zbl 1279.34105Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 2 2012 On the exact WKB analysis of higher order simple-pole type operators. Zbl 1231.34155Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 2 2011 WKB analysis of higher order Painlevé equations with a large parameter. II. Structure theorem for instanton-type solutions of \((P_J)_m (J= I, 34\), II-2 or IV) near a simple \(P\)-turning point of the first kind. Zbl 1228.34144Kawai, Takahiro; Takei, Yoshitsugu 2 2011 Exact WKB analysis of non-adiabatic transition probabilities for three levels. Zbl 1027.81010Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 2 2002 On the structure of Painlevé transcendents with a large parameter. Zbl 0794.34049Kawai, Takahiro; Takei, Yoshitsugu 2 1993 Systems of linear differential equations of infinite order: An aspect of infinite analysis. Zbl 0694.35225Kawai, Takahiro 2 1989 The Fabry-Ehrenpreis gap theorem for hyperfunctions. Zbl 0554.46017Kawai, Takahiro 2 1984 An example of a complex of linear differential operators of infinite order. Zbl 0525.35082Kawai, Takahiro 2 1983 Extended Landau variety and the singularity spectrum of position-space Feynman amplitudes. Zbl 0454.46035Kawai, Takahiro 2 1979 On holonomic systems with regular singularities. Zbl 0425.70017Kashiwara, Masaki; Kawai, Takahiro 2 1979 On holonomic systems with regular singularities. Zbl 0482.35060Kashiwara, Masaki; Kawai, Takahiro 2 1978 Invariance of cohomology groups under a deformation of an elliptic system of linear differential equations. Zbl 0452.58024Kawai, Takahiro 2 1977 Local extension of solutions of systems of linear differential equations with constant coefficients. Zbl 0344.35065Bedford, Eric; Kawai, Takahiro 2 1977 Vanishing of cohomology groups on completely k-convex sets. Zbl 0369.32007Kawai, Takahiro 2 1976 Removable singularities of solutions of systems of linear differential equations. Zbl 0298.35043Kawai, Takahiro 2 1975 Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics. II. Zbl 0307.35082Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio 2 1974 On the boundary value problem for the elliptic system of linear differential equations. Zbl 0272.35034Kashiwara, M.; Kawai, T. 2 1973 On the global existence of real analytic solutions of linear differential equations. I. Zbl 0223.35020Kawai, Takahiro 2 1971 Construction of local elementary solutions for linear partial differential operators with real analytic coefficients. II: The case with complex principal symbols. Zbl 0216.12401Kawai, Takahiro 2 1971 Resurgent functions and linear differential operators of infinite order – Their happy marriage in exact WKB analysis. Zbl 1329.34142Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya 1 2014 Remembering Leon Ehrenpreis (1930–2010). Zbl 1225.01086Struppa, Daniele C.; Farkas, Hershel; Kawai, Takahiro; Kuchment, Peter; Quinto, Eric Todd; Sternberg, Shlomo; Taylor, Alan 1 2011 On the structure of higher order simple-pole type operators in exact WKB analysis. Zbl 1218.34105Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 1 2010 Half of the Toulose project Part 5 is completed – structure theorem for instanton-type solutions of \((P_j)_m(J=\text{ I, II or IV})\) near a simple \(P\)-turning point of the first kind. Zbl 1144.34059Kawai, Takahiro; Takei, Yoshitsugu 1 2008 Virtual turning points – a gift of microlocal analysis to the exact WKB analysis. Zbl 1145.34383Aoki, Takashi; Honda, Naofumi; Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Sasaki, Shunsuke; Shudo, Akiro; Takei, Yoshitsugu 1 2007 On global aspects of exact WKB analysis of operators admitting infinitely many phases. Zbl 1087.34064Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 1 2005 Virtual turning points. Zbl 1354.34003Honda, Naofumi; Kawai, Takahiro; Takei, Yoshitsugu 9 2015 Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. II: Its relevance to the Mathieu equation and the Legendre equation. Zbl 1293.35301Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 4 2014 Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. I: Its WKB-theoretic transformation to the Mathieu equation. Zbl 1293.35300Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 3 2014 Resurgent functions and linear differential operators of infinite order – Their happy marriage in exact WKB analysis. Zbl 1329.34142Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya 1 2014 Microlocal analysis of fixed singularities of WKB solutions of a Schrödinger equation with a merging triplet of two simple poles and a simple turning point. Zbl 1279.34105Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 2 2012 On the exact WKB analysis of higher order simple-pole type operators. Zbl 1231.34155Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 2 2011 WKB analysis of higher order Painlevé equations with a large parameter. II. Structure theorem for instanton-type solutions of \((P_J)_m (J= I, 34\), II-2 or IV) near a simple \(P\)-turning point of the first kind. Zbl 1228.34144Kawai, Takahiro; Takei, Yoshitsugu 2 2011 Remembering Leon Ehrenpreis (1930–2010). Zbl 1225.01086Struppa, Daniele C.; Farkas, Hershel; Kawai, Takahiro; Kuchment, Peter; Quinto, Eric Todd; Sternberg, Shlomo; Taylor, Alan 1 2011 On the WKB-theoretic structure of a Schrödinger operator with a merging pair of a simple pole and a simple turning point. Zbl 1201.34141Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 6 2010 On the structure of higher order simple-pole type operators in exact WKB analysis. Zbl 1218.34105Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 1 2010 The Bender-Wu analysis and the Voros theory. II. Zbl 1175.34112Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 13 2009 Half of the Toulose project Part 5 is completed – structure theorem for instanton-type solutions of \((P_j)_m(J=\text{ I, II or IV})\) near a simple \(P\)-turning point of the first kind. Zbl 1144.34059Kawai, Takahiro; Takei, Yoshitsugu 1 2008 Virtual turning points – a gift of microlocal analysis to the exact WKB analysis. Zbl 1145.34383Aoki, Takashi; Honda, Naofumi; Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Sasaki, Shunsuke; Shudo, Akiro; Takei, Yoshitsugu 1 2007 WKB analysis of higher order Painlevé equations with a large parameter – local reduction of 0-parameter solutions for Painlevé hierarchies \((P_{J})\) (\(J=\text{ I, II-1 or II-2}\)). Zbl 1108.34065Kawai, Takahiro; Takei, Yoshitsugu 5 2006 Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. Zbl 1100.34004Kawai, Takahiro; Takei, Yoshitsugu 28 2005 Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations. Zbl 1073.34098Aoki, Takashi; Kawai, Takahiro; Sasaki, Shunsuke; Shudo, Akira; Takei, Yoshitsugu 8 2005 On global aspects of exact WKB analysis of operators admitting infinitely many phases. Zbl 1087.34064Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 1 2005 On the Stokes geometry of higher order Painlevé equations. Zbl 1086.34072Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Takei, Yoshitsugu 12 2004 On the exact WKB analysis of operators admitting infinitely many phases. Zbl 1056.34103Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 9 2004 On the exact WKB analysis of microdifferential operators of WKB type. Zbl 1079.34070Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 4 2004 The exact steepest descent method – a new steepest descent method based on the exact WKB analysis. Zbl 1072.34105Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 1 2004 On WKB analysis of higher order Painlevé equations with a large parameter. Zbl 1067.34088Kawai, Takahiro; Takei, Yoshitsugu 1 2004 Exact WKB analysis of non-adiabatic transition probabilities for three levels. Zbl 1027.81010Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 2 2002 On infra-red singularities associated with \(QC\) photons. Zbl 1070.81529Kawai, Takahiro; Stapp, Henry P. 1 2002 Overconvergence phenomena and grouping in exponential representation of solutions of linear differential equations of infinite order. Zbl 0984.30003Kawai, Takahiro; Struppa, Daniele C. 4 2001 On the exact steepest descent method: a new method for the description of Stokes curves. Zbl 1063.34047Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 3 2001 WKB analysis of Painlevé transcendents with a large parameter. III: Local reduction of 2-parameter Painlevé transcendents. Zbl 0901.34057Kawai, Takahiro; Takei, Yoshitsugu 11 1998 On the exact WKB analysis for the third order ordinary differential equations with a large parameter. Zbl 0963.34045Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 4 1998 Some problems in algebraic analysis of singular perturbations. Zbl 0938.34532Kawai, Takahiro; Takei, Yoshitsugu 1 1997 Can we find a new deformation of \((\text{SL}_J)\)? Conjectures and supporting evidences. Zbl 0940.34072Kawai, Takahiro; Takei, Yoshitsugu 1 1997 WKB analysis of Painlevé transcendents with a large parameter. I. Zbl 0848.34005Kawai, Takahiro; Takei, Yoshitsugu 14 1996 WKB analysis of Painlevé transcendents with a large parameter. II: Multiple-scale analysis of Painlevé transcendents. Zbl 0894.34050Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 13 1996 Interpolating varieties and the Fabry-Ehrenpreis-Kawai gap theorem. Zbl 0890.32007Berenstein, C. A.; Kawai, T.; Struppa, D. C. 6 1996 Exponential representation of a holomorphic solution of a system of differential equations associated with the theta-zerovalue. Zbl 0973.35055Berenstein, Carlos A.; Kawai, Takahiro; Struppa, Daniele C.; Takei, Yoshitsugu 1 1996 On the structure of Painlevé transcendents with a large parameter. II. Zbl 0873.34048Kawai, Takahiro; Takei, Yoshitsugu 1 1996 New turning points in the exact WKB analysis for higher-order ordinary differential equations. Zbl 0831.34058Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 9 1994 Secular equations through the exact WKB analysis. Zbl 0834.34068Kawai, Takahiro; Takei, Yoshitsugu 5 1994 Algebraic analysis of singular perturbations – on exact WKB analysis. Zbl 0871.32015Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 6 1993 Infrared catastrophe in a massless Feynman function. Zbl 0809.46088Kawai, T.; Stapp, H. P. 3 1993 On the structure of Painlevé transcendents with a large parameter. Zbl 0794.34049Kawai, Takahiro; Takei, Yoshitsugu 2 1993 Interpolation theorems in several complex variables and applications. Zbl 0796.32001Berenstein, C. A.; Kawai, T.; Struppa, D. C. 1 1993 WKB analysis, period integrals, deformations, \(\ldots\). Zbl 0966.34502Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 1 1992 The Bender-Wu analysis and the Voros theory. Zbl 0782.35060Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 18 1991 The structure of cohomology groups associated with the theta-zerovalues. Zbl 1138.32300Kashiwara, Masaki; Kawai, Takahiro; Takei, Yoshitsugu 1 1991 On the existence of holomorphic solutions of systems of linear differential equations of infinite order and with constant coefficients. Zbl 0704.35015Kawai, Takahiro; Struppa, Daniele C. 4 1990 Bicharacteristical convexity and the semi-global existence of holomorphic solutions of linear differential equations with holomorphic coefficients. Zbl 0703.35003Kawai, Takahiro; Takei, Yoshitsugu 1 1990 On the boundary value of a solution of the heat equation. Zbl 0696.35066Kawai, Takahiro; Matsuzawa, Tadato 3 1989 Systems of linear differential equations of infinite order: An aspect of infinite analysis. Zbl 0694.35225Kawai, Takahiro 2 1989 A particular partition of unity: An auxiliary tool in Hodge theory. Zbl 0702.14005Kashiwara, Masaki; Kawai, Takahiro 1 1989 Microlocal analysis of infrared singularities. Zbl 0701.46058Kawai, Takahiro; Stapp, Henry P. 1 1989 The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005Kashiwara, Masaki; Kawai, Takahiro 23 1987 The Fabry-Ehrenpreis gap theorem and linear differential equations of infinite order. Zbl 0618.30003Kawai, Takahiro 6 1987 Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo 37 1986 Hodge structure and holonomic systems. Zbl 0629.14006Kashiwara, Masaki; Kawai, Takahiro 8 1986 On a class of linear differential operators of infinite order with finite index. Zbl 0628.35003Aoki, Takashi; Kashiwara, Masaki; Kawai, Takahiro 7 1986 On the global existence of real analytic solutions and hyperfunction solutions of linear differential equations. Zbl 0618.35002Kawai, Takahiro 1 1986 On a closed range property of a linear differential operator. Zbl 0607.35033Kawai, Takahiro; Takei, Yoshitsugu 1 1986 Systems of microdifferential equations of infinite order. Zbl 0759.58044Kawai, Takahiro 1 1986 The Poincaré lemma for a variation of polarized Hodge structure. Zbl 0576.14010Kashiwara, Masaki; Kawai, Takahiro 4 1985 Microlocal analysis of theta functions. Zbl 0603.10023Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro 6 1984 The Fabry-Ehrenpreis gap theorem for hyperfunctions. Zbl 0554.46017Kawai, Takahiro 2 1984 Linear Differential equations of infinite order and theta functions. Zbl 0546.35047Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro 7 1983 Microlocal analysis. Zbl 0536.58030Kashiwara, Masaki; Kawai, Takahiro 6 1983 An example of a complex of linear differential operators of infinite order. Zbl 0525.35082Kawai, Takahiro 2 1983 Poisson’s summation formula and Hamburger’s theorem. Zbl 0499.10042Ehrenpreis, Leon; Kawai, Takahiro 3 1982 On the regular holonomic character of the S-matrix and microlocal analysis of unitarity-type integrals. Zbl 0491.35066Kawai, Takahiro; Stapp, Henry P. 3 1982 On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033Kashiwara, Masaki; Kawai, Takahiro 105 1981 Second-microlocalization and asymptotic expansions. Zbl 0458.46027Kashiwara, Masaki; Kawai, Takahiro 30 1980 The theory of holonomic systems with regular singularities and its relevance to physical problems. Zbl 0459.70013Kashiwara, Masaki; Kawai, Takahiro 3 1980 On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes 16 1979 On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019Kashiwara, Masaki; Kawai, Takahiro 13 1979 On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\). Zbl 0449.35067Kashiwara, Masaki; Kawai, Takahiro 10 1979 Some applications of boundary value problems for elliptic systems of linear differential equations. Zbl 0454.46033Kashiwara, Masaki; Kawai, Takahiro 6 1979 Seminar on micro-local analysis. Zbl 0409.00007Guillemin, Victor W.; Kashiwara, Masaki; Kawai, Takahiro 4 1979 Micro-local analysis of Feynman amplitudes. Zbl 0454.46034Kashiwara, Masaki; Kawai, Takahiro 3 1979 Micro-analyticity of the S-matrix and related functions. Zbl 0424.35078Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P. 3 1979 Extended Landau variety and the singularity spectrum of position-space Feynman amplitudes. Zbl 0454.46035Kawai, Takahiro 2 1979 On holonomic systems with regular singularities. Zbl 0425.70017Kashiwara, Masaki; Kawai, Takahiro 2 1979 Monodromy structure of solutions of holonomic systems of linear differential equations is invariant under the deformation of the system. Zbl 0475.35005Kashiwara, Masaki; Kawai, Takahiro 1 1979 A study of Feynman integrals by micro-differential equations. Zbl 0392.46025Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio 7 1978 Microlocal properties of local elementary solutions for Cauchy problems for a class of hyperbolic linear differential operators. Zbl 0389.35032Kawai, Takahiro; Nakamura, Gen 3 1978 On holonomic systems with regular singularities. Zbl 0482.35060Kashiwara, Masaki; Kawai, Takahiro 2 1978 Holonomic systems of linear differential equations and Feynman integrals. Zbl 0449.35095Kashiwara, Masaki; Kawai, Takahiro 8 1977 Micro-analytic structure of the S-matrix and related functions. Zbl 0443.35059Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P. 6 1977 Discontinuity formula and Sato’s conjecture. Zbl 0368.35067Kawai, Takahiro; Stapp, Henry P. 6 1977 Holonomic character and local monodromy structure of Feynman integrals. Zbl 0367.46039Kashiwara, Masaki; Kawai, Takahiro 4 1977 Invariance of cohomology groups under a deformation of an elliptic system of linear differential equations. Zbl 0452.58024Kawai, Takahiro 2 1977 Local extension of solutions of systems of linear differential equations with constant coefficients. Zbl 0344.35065Bedford, Eric; Kawai, Takahiro 2 1977 Finiteness theorem for holonomic systems of micro-differential equations. Zbl 0361.35064Kashiwara, Masaki; Kawai, Takahiro 8 1976 Extension of solutions of systems of linear differential equations. Zbl 0366.58013Kawai, Takahiro 5 1976 On a conjecture of Regge and Sato on Feynman integrals. Zbl 0347.35061Kashiwara, Masaki; Kawai, Takahiro 5 1976 Vanishing of cohomology groups on completely k-convex sets. Zbl 0369.32007Kawai, Takahiro 2 1976 Structure of a single pseudodifferential equation in a real domain. Zbl 0318.35076Kashiwara, M.; Kawai, T.; Oshima, T. 1 1976 Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066Kashiwara, Masaki; Kawai, Takahiro 29 1975 Theory of vector-valued hyperfunctions. Zbl 0321.46033Ion, Patrick D. F.; Kawai, Takahiro 6 1975 Micro-local properties of \(\prod^n_{j=1}f^{S_j}_{j^+}\). Zbl 0304.35068Kashiwara, Masaki; Kawai, Takahiro 4 1975 Theory of elliptic boundary value problems and its applications. Zbl 0376.35022Kashiwara, Masaki; Kawai, Takahiro 3 1975 Removable singularities of solutions of systems of linear differential equations. Zbl 0298.35043Kawai, Takahiro 2 1975 Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics. I. Zbl 0307.35081Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio 6 1974 Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics. II. Zbl 0307.35082Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio 2 1974 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 465 Authors 64 Kawai, Takahiro 52 Kashiwara, Masaki 25 Schapira, Pierre 24 Takei, Yoshitsugu 16 Oaku, Toshinori 15 Saito, Morihiko 14 Aoki, Takashi 11 D’Agnolo, Andrea 11 Nang, Philibert 11 Oshima, Toshio 11 Tose, Nobuyuki 9 Laurent, Yves 9 Tajima, Shinichi 8 Ishimura, Ryuichi 8 Monteiro Fernandes, Maria Teresa de Lemos 8 Okada, Yasunori 8 Pilipović, Stevan 8 Takeuchi, Kiyoshi 8 Uchida, Motoo 8 Zampieri, Giuseppe 7 Iwaki, Kohei 7 Kaneko, Akira 7 Koike, Tatsuya 7 Sjöstrand, Johannes 7 Stapp, Henry P. 7 Yoshino, Masafumi 6 Brylinski, Jean-Luc 6 Langenbruch, Michael 6 Struppa, Daniele Carlo 5 Kobayashi, Toshiyuki 5 Lebeau, Gilles 5 Quinto, Eric Todd 5 Sato, Mikio 5 Takayama, Nobuki 5 Ünsal, Mithat 4 Abanin, Aleksandr Vasil’evich 4 Andronikof, Emmanuel 4 Berenstein, Carlos Alberto 4 Chung, Soon-Yeong 4 Ginzburg, Victor 4 Kamimoto, Shingo 4 Kim, Dohan 4 Lê Hai Khôi 4 Liess, Otto 4 Malek, Stéphane 4 Malgrange, Bernard 4 Muro, Masakazu 4 Nagamachi, Shigeaki 4 Neitzke, Andrew 4 Neto, Orlando 4 Sabbah, Claude 4 Uchikoshi, Keisuke 4 Vilonen, Kari 4 Wakabayashi, Seiichiro 3 Bengel, Gunter 3 Boutet de Monvel, Louis 3 Debrouwere, Andreas 3 Honda, Naofumi 3 Iagolnitzer, Daniel 3 Miwa, Tetsuji 3 Morimoto, Mitsuo 3 Nguyen tien-Dai 3 Oberst, Ulrich 3 Pham, Frédéric 3 Sekiguchi, Jiro 3 Umeta, Yoko 3 Walther, Uli 2 Abhishek, Anuj 2 Amano, Kazuo 2 Andersson, Karl Gustav 2 Araújo, António Bandeira 2 Baracco, Luca 2 Barlet, Daniel 2 Bitoun, Thomas 2 Bony, Jean-Michel 2 Borho, Walter 2 Bros, Jacques 2 Brosnan, Patrick 2 Chung, Jaeyoung 2 de Cataldo, Mark Andrea A. 2 Duistermaat, Johannes Jisse 2 Dunne, Gerald V. 2 Eastwood, Michael G. 2 Eida, Atsuhiko 2 Elzein, Fouad 2 Gaiotto, Davide 2 Getmanenko, Alexander 2 Gordoa, Pilar Ruiz 2 Guillemin, Victor W. 2 Guillermou, Stéphane 2 Gyoja, Akihiko 2 Hibino, Masaki 2 Hill, C. Denson 2 Hollands, Lotte 2 Hörmander, Lars Valter 2 Ikeda, Kaoru 2 Ito, Yoshifumi 2 Joshi, Nalini 2 Jost, Jürgen 2 Kashani-Poor, Amir-Kian ...and 365 more Authors all top 5 Cited in 121 Serials 92 Publications of the Research Institute for Mathematical Sciences, Kyoto University 58 Proceedings of the Japan Academy. Series A 32 Advances in Mathematics 29 Proceedings of the Japan Academy 28 Inventiones Mathematicae 24 Annales de l’Institut Fourier 24 Duke Mathematical Journal 18 Communications in Mathematical Physics 16 Bulletin de la Société Mathématique de France 14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Compositio Mathematica 11 Communications in Partial Differential Equations 11 Journal of High Energy Physics 10 Journal of Functional Analysis 10 Transactions of the American Mathematical Society 9 Journal of Differential Equations 8 Letters in Mathematical Physics 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. 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New Series ...and 21 more Serials all top 5 Cited in 49 Fields 257 Partial differential equations (35-XX) 226 Several complex variables and analytic spaces (32-XX) 133 Global analysis, analysis on manifolds (58-XX) 116 Algebraic geometry (14-XX) 103 Functional analysis (46-XX) 70 Ordinary differential equations (34-XX) 52 Quantum theory (81-XX) 35 Operator theory (47-XX) 35 Differential geometry (53-XX) 28 Topological groups, Lie groups (22-XX) 24 Commutative algebra (13-XX) 21 Functions of a complex variable (30-XX) 19 Special functions (33-XX) 17 Integral transforms, operational calculus (44-XX) 16 Associative rings and algebras (16-XX) 15 Category theory; homological algebra (18-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Number theory (11-XX) 10 Nonassociative rings and algebras (17-XX) 8 Abstract harmonic analysis (43-XX) 8 Algebraic topology (55-XX) 6 Computer science (68-XX) 5 Systems theory; control (93-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Manifolds and cell complexes (57-XX) 3 Numerical analysis (65-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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