Edit Profile (opens in new tab) Kawai, Takahiro Compute Distance To: Compute Author ID: kawai.takahiro Published as: Kawai, Takahiro; Kawai, T. Homepage: http://www.kurims.kyoto-u.ac.jp/en/list/KAWAI,%20Takahiro.html External Links: Wikidata · GND · IdRef Documents Indexed: 159 Publications since 1970, including 4 Books 10 Contributions as Editor · 2 Further Contributions Biographic References: 4 Publications Co-Authors: 35 Co-Authors with 128 Joint Publications 1,154 Co-Co-Authors all top 5 Co-Authors 43 single-authored 54 Takei, Yoshitsugu 48 Kashiwara, Masaki 24 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 Hirose, Sampei 2 Kimura, Tatsuo 2 Komatsu, Hikosaburo 2 Morimoto, Mitsuo 2 Nakamura, Gen 2 Nishikawa, Yukihiro 2 Noumi, Masatoshi 2 Sasaki, Shunsuke 2 Shudo, Akira 2 Sjöstrand, Johannes 1 Andronikof, Emmanuel 1 Bedford, Eric 1 Ehrenpreis, Leon 1 Enomoto, Hikoe 1 Farkas, Hershel M. 1 Fujimoto, Yoshihisa 1 Fujita, Keiko 1 Guillemin, Victor W. 1 Hitotumatu, Sin 1 Howls, Christopher John 1 Ihara, Yasutaka 1 Ion, Patrick D. F. 1 Ishii, Tadashi 1 Kataoka, Kiyoomi 1 Kuchment, Peter A. 1 Kurokawa, Nobushige 1 Matsuzawa, Tadato 1 Miwa, Tetsuji 1 Mulase, Motohiko 1 Namba, Kanji 1 Quinto, Eric Todd 1 Sasaki, Shinji 1 Sogawa, Harue 1 Sternberg, Shlomo 1 Sugiura, Mitsuo 1 Takasaki, Kanehisa 1 Taylor, Alan M. 1 Uchikoshi, Keisuke 1 Ueno, Kenji 1 Yano, Tamaki 1 Yau, Shing-Tung all top 5 Serials 21 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 Princeton Mathematical Series 1 Translations of Mathematical Monographs 1 Kyoto Journal of Mathematics 1 SpringerBriefs in Mathematical Physics all top 5 Fields 87 Partial differential equations (35-XX) 55 Ordinary differential equations (34-XX) 34 Several complex variables and analytic spaces (32-XX) 30 Global analysis, analysis on manifolds (58-XX) 27 Functional analysis (46-XX) 27 Quantum theory (81-XX) 15 Operator theory (47-XX) 13 Algebraic geometry (14-XX) 11 General and overarching topics; collections (00-XX) 7 Special functions (33-XX) 5 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 122 Publications have been cited 1,125 times in 643 Documents Cited by ▼ Year ▼ Microfunctions and pseudo-differential equations. Zbl 0277.46039Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki 268 1973 On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033Kashiwara, Masaki; Kawai, Takahiro 110 1981 On the theory of Fourier hyperfunctions and its applications to partial differential equations with constant coefficients. Zbl 0212.46101Kawai, Takahiro 50 1970 Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. Zbl 1100.34004Kawai, Takahiro; Takei, Yoshitsugu 30 2005 Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066Kashiwara, Masaki; Kawai, Takahiro 29 1975 Second-microlocalization and asymptotic expansions. Zbl 0458.46027Kashiwara, Masaki; Kawai, Takahiro 28 1980 The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005Kashiwara, Masaki; Kawai, Takahiro 26 1987 On the boundary value problem for elliptic system of linear differential equations. I. Zbl 0271.35028Kashiwara, Masaki; Kawai, Takahiro 26 1972 Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo 26 1986 Boundary values of hyperfunction solutions of linear partial differential equations. Zbl 0225.35032Komatsu, Hikosaburo; Kawai, Takahiro 24 1971 The Bender-Wu analysis and the Voros theory. Zbl 0782.35060Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 21 1991 On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes 16 1979 The Bender-Wu analysis and the Voros theory. II. Zbl 1175.34112Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 15 2009 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 On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\). Zbl 0449.35067Kashiwara, Masaki; Kawai, Takahiro 14 1979 Virtual turning points. Zbl 1354.34003Honda, Naofumi; Kawai, Takahiro; Takei, Yoshitsugu 13 2015 On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019Kashiwara, Masaki; Kawai, Takahiro 13 1979 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 New turning points in the exact WKB analysis for higher-order ordinary differential equations. Zbl 0831.34058Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 12 1994 On the Stokes geometry of higher order Painlevé equations. Zbl 1086.34072Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Takei, Yoshitsugu 11 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 the exact WKB analysis of operators admitting infinitely many phases. Zbl 1056.34103Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 11 2004 Holonomic systems of linear differential equations and Feynman integrals. Zbl 0449.35095Kashiwara, Masaki; Kawai, Takahiro 9 1977 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 Finiteness theorem for holonomic systems of micro-differential equations. Zbl 0361.35064Kashiwara, Masaki; Kawai, Takahiro 8 1976 On the boundary value problem for elliptic system of linear differential equations. II. Zbl 0279.35037Kashiwara, Masaki; Kawai, Takahiro 8 1973 Linear Differential equations of infinite order and theta functions. Zbl 0546.35047Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro 7 1983 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 7 1974 Theory of vector-valued hyperfunctions. Zbl 0321.46033Ion, Patrick D. F.; Kawai, Takahiro 7 1975 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 7 2010 A study of Feynman integrals by micro-differential equations. Zbl 0392.46025Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio 7 1978 The Fabry-Ehrenpreis gap theorem and linear differential equations of infinite order. Zbl 0618.30003Kawai, Takahiro 6 1987 On a class of linear differential operators of infinite order with finite index. Zbl 0628.35003Aoki, Takashi; Kashiwara, Masaki; Kawai, Takahiro 6 1986 On the exact WKB analysis for the third order ordinary differential equations with a large parameter. Zbl 0963.34045Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 6 1998 Construction of elementary solutions for I-hyperbolic operators and solutions with small singularities. Zbl 0216.12301Kawai, Takahiro 6 1970 On the global existence of real analytic solutions of linear differential equations. I. Zbl 0234.35012Kawai, T. 6 1972 On the structure of single linear pseudo-differential equations. Zbl 0297.35069Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki 6 1972 Microlocal analysis. Zbl 0536.58030Kashiwara, Masaki; Kawai, Takahiro 6 1983 Discontinuity formula and Sato’s conjecture. Zbl 0368.35067Kawai, Takahiro; Stapp, Henry P. 6 1977 Interpolating varieties and the Fabry-Ehrenpreis-Kawai gap theorem. Zbl 0890.32007Berenstein, C. A.; Kawai, T.; Struppa, D. C. 6 1996 Micro-analytic structure of the S-matrix and related functions. Zbl 0443.35059Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P. 6 1977 Some applications of boundary value problems for elliptic systems of linear differential equations. Zbl 0454.46033Kashiwara, Masaki; Kawai, Takahiro 6 1979 Extension of solutions of systems of linear differential equations. Zbl 0366.58013Kawai, Takahiro 5 1976 Finite-dimensionality of cohomology groups attached to systems of linear differential equations. Zbl 0256.35059Kawai, Takahiro 5 1973 Theorems on the finite-dimensionality of cohomology groups. IV. Zbl 0303.35057Kawai, Takahiro 5 1973 On a conjecture of Regge and Sato on Feynman integrals. Zbl 0347.35061Kashiwara, Masaki; Kawai, Takahiro 5 1976 Secular equations through the exact WKB analysis. Zbl 0834.34068Kawai, Takahiro; Takei, Yoshitsugu 5 1994 Holonomic character and local monodromy structure of Feynman integrals. Zbl 0367.46039Kashiwara, Masaki; Kawai, Takahiro 5 1977 Microlocal analysis of theta functions. Zbl 0603.10023Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro 5 1984 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 On the exact steepest descent method: a new method for the description of Stokes curves. Zbl 1063.34047Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 5 2001 Algebraic analysis of singular perturbations – on exact WKB analysis. Zbl 0871.32015Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 5 1993 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 5 2014 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 5 2014 On the exact WKB analysis of microdifferential operators of WKB type. Zbl 1079.34070Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 4 2004 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 Theorems on the finite-dimensionality of cohomology groups. III. Zbl 0303.35056Kawai, Takahiro 4 1973 Micro-local properties of \(\prod^n_{j=1}f^{S_j}_{j^+}\). Zbl 0304.35068Kashiwara, Masaki; Kawai, Takahiro 4 1975 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 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 Infrared catastrophe in a massless Feynman function. Zbl 0809.46088Kawai, T.; Stapp, H. P. 3 1993 Construction of a local elementary solution for linear partial differential operators. I, II. Zbl 0216.12302Kawai, Takahiro 3 1971 Pseudo-differential operators in the theory of hyperfunctions. Zbl 0229.47034Kashiwara, Masaki; Kawai, Takahiro 3 1970 Theorems on the finite -dimensionality of cohomology groups. I. Zbl 0249.58014Kawai, Takahiro 3 1972 On the boundary value of a solution of the heat equation. Zbl 0696.35066Kawai, Takahiro; Matsuzawa, Tadato 3 1989 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 Poisson’s summation formula and Hamburger’s theorem. Zbl 0499.10042Ehrenpreis, Leon; Kawai, Takahiro 3 1982 Exact WKB analysis of non-adiabatic transition probabilities for three levels. Zbl 1027.81010Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 3 2002 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 Micro-analyticity of the S-matrix and related functions. Zbl 0424.35078Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P. 3 1979 Micro-local analysis of Feynman amplitudes. Zbl 0454.46034Kashiwara, Masaki; Kawai, Takahiro 3 1979 The theory of holonomic systems with regular singularities and its relevance to physical problems. Zbl 0459.70013Kashiwara, Masaki; Kawai, Takahiro 3 1980 On the structure of Painlevé transcendents with a large parameter. Zbl 0794.34049Kawai, Takahiro; Takei, Yoshitsugu 2 1993 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 The exact steepest descent method – a new steepest descent method based on the exact WKB analysis. Zbl 1072.34105Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 2 2004 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 On the global existence of real analytic solutions of linear differential equations. I. Zbl 0223.35020Kawai, Takahiro 2 1971 On the boundary value problem for the elliptic system of linear differential equations. Zbl 0272.35034Kashiwara, M.; Kawai, T. 2 1973 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 Local extension of solutions of systems of linear differential equations with constant coefficients. Zbl 0344.35065Bedford, Eric; Kawai, Takahiro 2 1977 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 Vanishing of cohomology groups on completely k-convex sets. Zbl 0369.32007Kawai, Takahiro 2 1976 On holonomic systems with regular singularities. Zbl 0482.35060Kashiwara, Masaki; Kawai, Takahiro 2 1978 An example of a complex of linear differential operators of infinite order. Zbl 0525.35082Kawai, Takahiro 2 1983 Theory of elliptic boundary value problems and its applications. Zbl 0376.35022Kashiwara, Masaki; Kawai, Takahiro 2 1975 On holonomic systems with regular singularities. Zbl 0425.70017Kashiwara, Masaki; Kawai, Takahiro 2 1979 Invariance of cohomology groups under a deformation of an elliptic system of linear differential equations. Zbl 0452.58024Kawai, Takahiro 2 1977 Pearcey system re-examined from the viewpoint of \(s\)-virtual turning points and non-hereditary turning points. Zbl 1460.34110Hirose, Sampei; Kawai, Takahiro; Takei, Yoshitsugu 1 2019 Interpolation theorems in several complex variables and applications. Zbl 0796.32001Berenstein, C. A.; Kawai, T.; Struppa, D. C. 1 1993 On the global existence of real analytic solutions and hyperfunction solutions of linear differential equations. Zbl 0618.35002Kawai, Takahiro 1 1986 The Fabry-Ehrenpreis gap theorem for hyperfunctions. Zbl 0554.46017Kawai, Takahiro 1 1984 Microlocal analysis of infrared singularities. Zbl 0701.46058Kawai, Takahiro; Stapp, Henry P. 1 1989 A particular partition of unity: An auxiliary tool in Hodge theory. Zbl 0702.14005Kashiwara, Masaki; Kawai, Takahiro 1 1989 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 infra-red singularities associated with \(QC\) photons. Zbl 1070.81529Kawai, Takahiro; Stapp, Henry P. 1 2002 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 Pearcey system re-examined from the viewpoint of \(s\)-virtual turning points and non-hereditary turning points. Zbl 1460.34110Hirose, Sampei; Kawai, Takahiro; Takei, Yoshitsugu 1 2019 Virtual turning points. Zbl 1354.34003Honda, Naofumi; Kawai, Takahiro; Takei, Yoshitsugu 13 2015 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 5 2014 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 5 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 7 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 15 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 30 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 11 2004 On the exact WKB analysis of operators admitting infinitely many phases. Zbl 1056.34103Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 11 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 2 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 3 2002 On infra-red singularities associated with \(QC\) photons. Zbl 1070.81529Kawai, Takahiro; Stapp, Henry P. 1 2002 On the exact steepest descent method: a new method for the description of Stokes curves. Zbl 1063.34047Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 5 2001 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 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 6 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 On the structure of Painlevé transcendents with a large parameter. II. Zbl 0873.34048Kawai, Takahiro; Takei, Yoshitsugu 1 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 New turning points in the exact WKB analysis for higher-order ordinary differential equations. Zbl 0831.34058Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 12 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 5 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 21 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 Microlocal analysis of infrared singularities. Zbl 0701.46058Kawai, Takahiro; Stapp, Henry P. 1 1989 A particular partition of unity: An auxiliary tool in Hodge theory. Zbl 0702.14005Kashiwara, Masaki; Kawai, Takahiro 1 1989 Systems of linear differential equations of infinite order: An aspect of infinite analysis. Zbl 0694.35225Kawai, Takahiro 1 1989 The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005Kashiwara, Masaki; Kawai, Takahiro 26 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 26 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 6 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 5 1984 The Fabry-Ehrenpreis gap theorem for hyperfunctions. Zbl 0554.46017Kawai, Takahiro 1 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 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 Poisson’s summation formula and Hamburger’s theorem. Zbl 0499.10042Ehrenpreis, Leon; Kawai, Takahiro 3 1982 On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033Kashiwara, Masaki; Kawai, Takahiro 110 1981 Second-microlocalization and asymptotic expansions. Zbl 0458.46027Kashiwara, Masaki; Kawai, Takahiro 28 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 holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\). Zbl 0449.35067Kashiwara, Masaki; Kawai, Takahiro 14 1979 On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019Kashiwara, Masaki; Kawai, Takahiro 13 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-analyticity of the S-matrix and related functions. Zbl 0424.35078Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P. 3 1979 Micro-local analysis of Feynman amplitudes. Zbl 0454.46034Kashiwara, Masaki; Kawai, Takahiro 3 1979 On holonomic systems with regular singularities. Zbl 0425.70017Kashiwara, Masaki; Kawai, Takahiro 2 1979 Extended Landau variety and the singularity spectrum of position-space Feynman amplitudes. Zbl 0454.46035Kawai, Takahiro 1 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 9 1977 Discontinuity formula and Sato’s conjecture. Zbl 0368.35067Kawai, Takahiro; Stapp, Henry P. 6 1977 Micro-analytic structure of the S-matrix and related functions. Zbl 0443.35059Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P. 6 1977 Holonomic character and local monodromy structure of Feynman integrals. Zbl 0367.46039Kashiwara, Masaki; Kawai, Takahiro 5 1977 Local extension of solutions of systems of linear differential equations with constant coefficients. Zbl 0344.35065Bedford, Eric; Kawai, Takahiro 2 1977 Invariance of cohomology groups under a deformation of an elliptic system of linear differential equations. Zbl 0452.58024Kawai, 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 7 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 2 1975 Removable singularities of solutions of systems of linear differential equations. Zbl 0298.35043Kawai, Takahiro 1 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 7 1974 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 467 Authors 65 Kawai, Takahiro 52 Kashiwara, Masaki 25 Takei, Yoshitsugu 24 Schapira, Pierre 16 Aoki, Takashi 16 Oaku, Toshinori 16 Saito, Morihiko 11 Nang, Philibert 11 Tose, Nobuyuki 10 D’Agnolo, Andrea 10 Oshima, Toshio 9 Laurent, Yves 9 Okada, Yasunori 9 Tajima, Shinichi 8 Iwaki, Kohei 8 Monteiro Fernandes, Maria Teresa de Lemos 8 Pilipović, Stevan 8 Takeuchi, Kiyoshi 8 Uchida, Motoo 8 Zampieri, Giuseppe 7 Kaneko, Akira 7 Koike, Tatsuya 7 Sjöstrand, Johannes 7 Stapp, Henry P. 7 Yoshino, Masafumi 6 Brylinski, Jean-Luc 6 Ishimura, Ryuichi 6 Langenbruch, Michael 6 Struppa, Daniele Carlo 6 Ünsal, Mithat 5 Andronikof, Emmanuel 5 Kobayashi, Toshiyuki 5 Lebeau, Gilles 5 Sato, Mikio 5 Takayama, Nobuki 4 Abanin, Aleksandr Vasil’evich 4 Berenstein, Carlos Alberto 4 Chung, Soon-Yeong 4 Debrouwere, Andreas 4 Ginzburg, Victor 4 Kamimoto, Shingo 4 Kim, Dohan 4 Lê Hai Khôi 4 Liess, Otto 4 Malek, Stéphane 4 Malgrange, Bernard 4 Nagamachi, Shigeaki 4 Neitzke, Andrew 4 Neto, Orlando 4 Quinto, Eric Todd 4 Sabbah, Claude 4 Uchikoshi, Keisuke 4 Vilonen, Kari 4 Wakabayashi, Seiichiro 3 Bengel, Gunter 3 Boutet de Monvel, Louis 3 Budur, Nero 3 de Cataldo, Mark Andrea A. 3 Honda, Naofumi 3 Iagolnitzer, Daniel 3 Li, Baoqin 3 Migliorini, Luca 3 Miwa, Tetsuji 3 Morimoto, Mitsuo 3 Muro, Masakazu 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 Duistermaat, Johannes Jisse 2 Dunne, Gerald V. 2 Eastwood, Michael G. 2 Eida, Atsuhiko 2 Elzein, Fouad 2 Gaiotto, Davide 2 Getmanenko, Alexander 2 Guillermou, Stéphane 2 Hibino, Masaki 2 Hill, C. Denson 2 Hollands, Lotte 2 Hörmander, Lars Valter 2 Ito, Katsushi 2 Ito, Yoshifumi 2 Joshi, Nalini 2 Jost, Jürgen 2 Kamata, Syo ...and 367 more Authors all top 5 Cited in 120 Serials 94 Publications of the Research Institute for Mathematical Sciences, Kyoto University 59 Proceedings of the Japan Academy. Series A 29 Advances in Mathematics 29 Inventiones Mathematicae 29 Proceedings of the Japan Academy 25 Annales de l’Institut Fourier 24 Duke Mathematical Journal 19 Communications in Mathematical Physics 16 Bulletin de la Société Mathématique de France 14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 14 Journal of High Energy Physics 13 Compositio Mathematica 11 Communications in Partial Differential Equations 10 Transactions of the American Mathematical Society 8 Letters in Mathematical Physics 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 8 Journal of Differential Equations 8 Tôhoku Mathematical Journal. Second Series 7 Arkiv för Matematik 7 Mathematische Annalen 7 Selecta Mathematica. New Series 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Pure and Applied Algebra 6 Proceedings of the American Mathematical Society 5 Journal d’Analyse Mathématique 5 Journal of Functional Analysis 5 Journal of the Mathematical Society of Japan 5 Rendiconti del Seminario Matematico della Università di Padova 5 Journal of Algebraic Geometry 4 Journal of Mathematical Analysis and Applications 4 Acta Mathematica 4 Mathematische Zeitschrift 4 Nagoya Mathematical Journal 4 The Journal of Geometric Analysis 4 Mémoires de la Société Mathématique de France. Nouvelle Série 4 Bulletin des Sciences Mathématiques 4 Bulletin of the American Mathematical Society 3 Communications on Pure and Applied Mathematics 3 Constructive Approximation 3 Bulletin of the American Mathematical Society. New Series 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Annales Henri Poincaré 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Mathematical Physics 2 Nuclear Physics. B 2 Rocky Mountain Journal of Mathematics 2 Journal of Geometry and Physics 2 Beiträge zur Algebra und Geometrie 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Tsukuba Journal of Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Advances in Applied Clifford Algebras 2 The Journal of Fourier Analysis and Applications 2 Abstract and Applied Analysis 2 Mathematical Physics, Analysis and Geometry 2 Annals of Mathematics. Second Series 2 Regular and Chaotic Dynamics 2 Complex Variables and Elliptic Equations 2 Mathematics in Computer Science 2 Complex Analysis and Operator Theory 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 International Journal of Modern Physics A 1 Archive for History of Exact Sciences 1 Israel Journal of Mathematics 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Functional Analysis and its Applications 1 Funkcialaj Ekvacioj. Serio Internacia 1 Publications Mathématiques 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Journal of Complexity 1 \(K\)-Theory 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Multidimensional Systems and Signal Processing 1 Japan Journal of Industrial and Applied Mathematics 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Russian Mathematics ...and 20 more Serials all top 5 Cited in 51 Fields 251 Partial differential equations (35-XX) 223 Several complex variables and analytic spaces (32-XX) 133 Global analysis, analysis on manifolds (58-XX) 123 Algebraic geometry (14-XX) 103 Functional analysis (46-XX) 76 Ordinary differential equations (34-XX) 58 Quantum theory (81-XX) 36 Differential geometry (53-XX) 35 Operator theory (47-XX) 27 Commutative algebra (13-XX) 27 Topological groups, Lie groups (22-XX) 22 Special functions (33-XX) 21 Functions of a complex variable (30-XX) 17 Integral transforms, operational calculus (44-XX) 16 Category theory; homological algebra (18-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Associative rings and algebras (16-XX) 10 Nonassociative rings and algebras (17-XX) 9 Number theory (11-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Algebraic topology (55-XX) 6 Abstract harmonic analysis (43-XX) 6 Computer science (68-XX) 5 Relativity and gravitational theory (83-XX) 5 Systems theory; control (93-XX) 4 Group theory and generalizations (20-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Manifolds and cell complexes (57-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Field theory and polynomials (12-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 \(K\)-theory (19-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-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. Updates and corrections should be made in Wikidata.