## Kawai, Takahiro

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 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
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### 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
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### 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
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### 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)

### 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 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
1973
On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033
Kashiwara, Masaki; Kawai, Takahiro
1981
On the theory of Fourier hyperfunctions and its applications to partial differential equations with constant coefficients. Zbl 0212.46101
Kawai, Takahiro
1970
Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. Zbl 1100.34004
Kawai, Takahiro; Takei, Yoshitsugu
2005
Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066
Kashiwara, Masaki; Kawai, Takahiro
1975
Second-microlocalization and asymptotic expansions. Zbl 0458.46027
Kashiwara, Masaki; Kawai, Takahiro
1980
The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005
Kashiwara, Masaki; Kawai, Takahiro
1987
On the boundary value problem for elliptic system of linear differential equations. I. Zbl 0271.35028
Kashiwara, Masaki; Kawai, Takahiro
1972
Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001
Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo
1986
Boundary values of hyperfunction solutions of linear partial differential equations. Zbl 0225.35032
Komatsu, Hikosaburo; Kawai, Takahiro
1971
The Bender-Wu analysis and the Voros theory. Zbl 0782.35060
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1991
On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003
Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes
1979
The Bender-Wu analysis and the Voros theory. II. Zbl 1175.34112
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
2009
Construction of local elementary solutions for linear partial differential operators with real analytic coefficients. I: The case with real principal symbols. Zbl 0216.12303
Kawai, Takahiro
1971
WKB analysis of Painlevé transcendents with a large parameter. I. Zbl 0848.34005
Kawai, Takahiro; Takei, Yoshitsugu
1996
On holonomic systems for $$\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}$$. Zbl 0449.35067
Kashiwara, Masaki; Kawai, Takahiro
1979
Virtual turning points. Zbl 1354.34003
Honda, Naofumi; Kawai, Takahiro; Takei, Yoshitsugu
2015
On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019
Kashiwara, Masaki; Kawai, Takahiro
1979
WKB analysis of Painlevé transcendents with a large parameter. II: Multiple-scale analysis of Painlevé transcendents. Zbl 0894.34050
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1996
New turning points in the exact WKB analysis for higher-order ordinary differential equations. Zbl 0831.34058
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1994
On the Stokes geometry of higher order Painlevé equations. Zbl 1086.34072
Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Takei, Yoshitsugu
2004
WKB analysis of Painlevé transcendents with a large parameter. III: Local reduction of 2-parameter Painlevé transcendents. Zbl 0901.34057
Kawai, Takahiro; Takei, Yoshitsugu
1998
On the exact WKB analysis of operators admitting infinitely many phases. Zbl 1056.34103
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
2004
Holonomic systems of linear differential equations and Feynman integrals. Zbl 0449.35095
Kashiwara, Masaki; Kawai, Takahiro
1977
Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations. Zbl 1073.34098
Aoki, Takashi; Kawai, Takahiro; Sasaki, Shunsuke; Shudo, Akira; Takei, Yoshitsugu
2005
Hodge structure and holonomic systems. Zbl 0629.14006
Kashiwara, Masaki; Kawai, Takahiro
1986
Finiteness theorem for holonomic systems of micro-differential equations. Zbl 0361.35064
Kashiwara, Masaki; Kawai, Takahiro
1976
On the boundary value problem for elliptic system of linear differential equations. II. Zbl 0279.35037
Kashiwara, Masaki; Kawai, Takahiro
1973
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
1983
Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics. I. Zbl 0307.35081
Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio
1974
Theory of vector-valued hyperfunctions. Zbl 0321.46033
Ion, Patrick D. F.; Kawai, Takahiro
1975
On the WKB-theoretic structure of a Schrödinger operator with a merging pair of a simple pole and a simple turning point. Zbl 1201.34141
Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
2010
A study of Feynman integrals by micro-differential equations. Zbl 0392.46025
Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio
1978
The Fabry-Ehrenpreis gap theorem and linear differential equations of infinite order. Zbl 0618.30003
Kawai, Takahiro
1987
On a class of linear differential operators of infinite order with finite index. Zbl 0628.35003
Aoki, Takashi; Kashiwara, Masaki; Kawai, Takahiro
1986
On the exact WKB analysis for the third order ordinary differential equations with a large parameter. Zbl 0963.34045
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1998
Construction of elementary solutions for I-hyperbolic operators and solutions with small singularities. Zbl 0216.12301
Kawai, Takahiro
1970
On the global existence of real analytic solutions of linear differential equations. I. Zbl 0234.35012
Kawai, T.
1972
On the structure of single linear pseudo-differential equations. Zbl 0297.35069
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
1972
Microlocal analysis. Zbl 0536.58030
Kashiwara, Masaki; Kawai, Takahiro
1983
Discontinuity formula and Sato’s conjecture. Zbl 0368.35067
Kawai, Takahiro; Stapp, Henry P.
1977
Interpolating varieties and the Fabry-Ehrenpreis-Kawai gap theorem. Zbl 0890.32007
Berenstein, C. A.; Kawai, T.; Struppa, D. C.
1996
Micro-analytic structure of the S-matrix and related functions. Zbl 0443.35059
Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P.
1977
Some applications of boundary value problems for elliptic systems of linear differential equations. Zbl 0454.46033
Kashiwara, Masaki; Kawai, Takahiro
1979
Extension of solutions of systems of linear differential equations. Zbl 0366.58013
Kawai, Takahiro
1976
Finite-dimensionality of cohomology groups attached to systems of linear differential equations. Zbl 0256.35059
Kawai, Takahiro
1973
Theorems on the finite-dimensionality of cohomology groups. IV. Zbl 0303.35057
Kawai, Takahiro
1973
On a conjecture of Regge and Sato on Feynman integrals. Zbl 0347.35061
Kashiwara, Masaki; Kawai, Takahiro
1976
Secular equations through the exact WKB analysis. Zbl 0834.34068
Kawai, Takahiro; Takei, Yoshitsugu
1994
Holonomic character and local monodromy structure of Feynman integrals. Zbl 0367.46039
Kashiwara, Masaki; Kawai, Takahiro
1977
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
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 1108.34065
Kawai, Takahiro; Takei, Yoshitsugu
2006
On the exact steepest descent method: a new method for the description of Stokes curves. Zbl 1063.34047
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
2001
Algebraic analysis of singular perturbations – on exact WKB analysis. Zbl 0871.32015
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
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 1293.35300
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
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 1293.35301
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
2014
On the exact WKB analysis of microdifferential operators of WKB type. Zbl 1079.34070
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
2004
On the existence of holomorphic solutions of systems of linear differential equations of infinite order and with constant coefficients. Zbl 0704.35015
Kawai, Takahiro; Struppa, Daniele C.
1990
Theorems on the finite-dimensionality of cohomology groups. III. Zbl 0303.35056
Kawai, Takahiro
1973
Micro-local properties of $$\prod^n_{j=1}f^{S_j}_{j^+}$$. Zbl 0304.35068
Kashiwara, Masaki; Kawai, Takahiro
1975
Overconvergence phenomena and grouping in exponential representation of solutions of linear differential equations of infinite order. Zbl 0984.30003
Kawai, Takahiro; Struppa, Daniele C.
2001
The Poincaré lemma for a variation of polarized Hodge structure. Zbl 0576.14010
Kashiwara, Masaki; Kawai, Takahiro
1985
Seminar on micro-local analysis. Zbl 0409.00007
Guillemin, Victor W.; Kashiwara, Masaki; Kawai, Takahiro
1979
Infrared catastrophe in a massless Feynman function. Zbl 0809.46088
Kawai, T.; Stapp, H. P.
1993
Construction of a local elementary solution for linear partial differential operators. I, II. Zbl 0216.12302
Kawai, Takahiro
1971
Pseudo-differential operators in the theory of hyperfunctions. Zbl 0229.47034
Kashiwara, Masaki; Kawai, Takahiro
1970
Theorems on the finite -dimensionality of cohomology groups. I. Zbl 0249.58014
Kawai, Takahiro
1972
On the boundary value of a solution of the heat equation. Zbl 0696.35066
Kawai, Takahiro; Matsuzawa, Tadato
1989
On the regular holonomic character of the S-matrix and microlocal analysis of unitarity-type integrals. Zbl 0491.35066
Kawai, Takahiro; Stapp, Henry P.
1982
Poisson’s summation formula and Hamburger’s theorem. Zbl 0499.10042
Ehrenpreis, Leon; Kawai, Takahiro
1982
Exact WKB analysis of non-adiabatic transition probabilities for three levels. Zbl 1027.81010
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
2002
Microlocal properties of local elementary solutions for Cauchy problems for a class of hyperbolic linear differential operators. Zbl 0389.35032
Kawai, Takahiro; Nakamura, Gen
1978
Micro-analyticity of the S-matrix and related functions. Zbl 0424.35078
Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P.
1979
Micro-local analysis of Feynman amplitudes. Zbl 0454.46034
Kashiwara, Masaki; Kawai, Takahiro
1979
The theory of holonomic systems with regular singularities and its relevance to physical problems. Zbl 0459.70013
Kashiwara, Masaki; Kawai, Takahiro
1980
On the structure of Painlevé transcendents with a large parameter. Zbl 0794.34049
Kawai, Takahiro; Takei, Yoshitsugu
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 1279.34105
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
2012
On the exact WKB analysis of higher order simple-pole type operators. Zbl 1231.34155
Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
2011
The exact steepest descent method – a new steepest descent method based on the exact WKB analysis. Zbl 1072.34105
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
2004
Construction of local elementary solutions for linear partial differential operators with real analytic coefficients. II: The case with complex principal symbols. Zbl 0216.12401
Kawai, Takahiro
1971
On the global existence of real analytic solutions of linear differential equations. I. Zbl 0223.35020
Kawai, Takahiro
1971
On the boundary value problem for the elliptic system of linear differential equations. Zbl 0272.35034
Kashiwara, M.; Kawai, T.
1973
Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics. II. Zbl 0307.35082
Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio
1974
Local extension of solutions of systems of linear differential equations with constant coefficients. Zbl 0344.35065
Bedford, Eric; Kawai, Takahiro
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 1228.34144
Kawai, Takahiro; Takei, Yoshitsugu
2011
Vanishing of cohomology groups on completely k-convex sets. Zbl 0369.32007
Kawai, Takahiro
1976
On holonomic systems with regular singularities. Zbl 0482.35060
Kashiwara, Masaki; Kawai, Takahiro
1978
An example of a complex of linear differential operators of infinite order. Zbl 0525.35082
Kawai, Takahiro
1983
Theory of elliptic boundary value problems and its applications. Zbl 0376.35022
Kashiwara, Masaki; Kawai, Takahiro
1975
On holonomic systems with regular singularities. Zbl 0425.70017
Kashiwara, Masaki; Kawai, Takahiro
1979
Invariance of cohomology groups under a deformation of an elliptic system of linear differential equations. Zbl 0452.58024
Kawai, Takahiro
1977
Pearcey system re-examined from the viewpoint of $$s$$-virtual turning points and non-hereditary turning points. Zbl 1460.34110
Hirose, Sampei; Kawai, Takahiro; Takei, Yoshitsugu
2019
Interpolation theorems in several complex variables and applications. Zbl 0796.32001
Berenstein, C. A.; Kawai, T.; Struppa, D. C.
1993
On the global existence of real analytic solutions and hyperfunction solutions of linear differential equations. Zbl 0618.35002
Kawai, Takahiro
1986
The Fabry-Ehrenpreis gap theorem for hyperfunctions. Zbl 0554.46017
Kawai, Takahiro
1984
Microlocal analysis of infrared singularities. Zbl 0701.46058
Kawai, Takahiro; Stapp, Henry P.
1989
A particular partition of unity: An auxiliary tool in Hodge theory. Zbl 0702.14005
Kashiwara, Masaki; Kawai, Takahiro
1989
Bicharacteristical convexity and the semi-global existence of holomorphic solutions of linear differential equations with holomorphic coefficients. Zbl 0703.35003
Kawai, Takahiro; Takei, Yoshitsugu
1990
On infra-red singularities associated with $$QC$$ photons. Zbl 1070.81529
Kawai, Takahiro; Stapp, Henry P.
2002
On global aspects of exact WKB analysis of operators admitting infinitely many phases. Zbl 1087.34064
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
2005
Pearcey system re-examined from the viewpoint of $$s$$-virtual turning points and non-hereditary turning points. Zbl 1460.34110
Hirose, Sampei; Kawai, Takahiro; Takei, Yoshitsugu
2019
Virtual turning points. Zbl 1354.34003
Honda, Naofumi; Kawai, Takahiro; Takei, Yoshitsugu
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 1293.35300
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
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 1293.35301
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
2014
Resurgent functions and linear differential operators of infinite order – Their happy marriage in exact WKB analysis. Zbl 1329.34142
Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya
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 1279.34105
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
2012
On the exact WKB analysis of higher order simple-pole type operators. Zbl 1231.34155
Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
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 1228.34144
Kawai, Takahiro; Takei, Yoshitsugu
2011
Remembering Leon Ehrenpreis (1930–2010). Zbl 1225.01086
Struppa, Daniele C.; Farkas, Hershel; Kawai, Takahiro; Kuchment, Peter; Quinto, Eric Todd; Sternberg, Shlomo; Taylor, Alan
2011
On the WKB-theoretic structure of a Schrödinger operator with a merging pair of a simple pole and a simple turning point. Zbl 1201.34141
Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
2010
On the structure of higher order simple-pole type operators in exact WKB analysis. Zbl 1218.34105
Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
2010
The Bender-Wu analysis and the Voros theory. II. Zbl 1175.34112
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
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 1144.34059
Kawai, Takahiro; Takei, Yoshitsugu
2008
Virtual turning points – a gift of microlocal analysis to the exact WKB analysis. Zbl 1145.34383
Aoki, Takashi; Honda, Naofumi; Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Sasaki, Shunsuke; Shudo, Akiro; Takei, Yoshitsugu
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 1108.34065
Kawai, Takahiro; Takei, Yoshitsugu
2006
Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. Zbl 1100.34004
Kawai, Takahiro; Takei, Yoshitsugu
2005
Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations. Zbl 1073.34098
Aoki, Takashi; Kawai, Takahiro; Sasaki, Shunsuke; Shudo, Akira; Takei, Yoshitsugu
2005
On global aspects of exact WKB analysis of operators admitting infinitely many phases. Zbl 1087.34064
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
2005
On the Stokes geometry of higher order Painlevé equations. Zbl 1086.34072
Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Takei, Yoshitsugu
2004
On the exact WKB analysis of operators admitting infinitely many phases. Zbl 1056.34103
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
2004
On the exact WKB analysis of microdifferential operators of WKB type. Zbl 1079.34070
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
2004
The exact steepest descent method – a new steepest descent method based on the exact WKB analysis. Zbl 1072.34105
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
2004
On WKB analysis of higher order Painlevé equations with a large parameter. Zbl 1067.34088
Kawai, Takahiro; Takei, Yoshitsugu
2004
Exact WKB analysis of non-adiabatic transition probabilities for three levels. Zbl 1027.81010
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
2002
On infra-red singularities associated with $$QC$$ photons. Zbl 1070.81529
Kawai, Takahiro; Stapp, Henry P.
2002
On the exact steepest descent method: a new method for the description of Stokes curves. Zbl 1063.34047
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
2001
Overconvergence phenomena and grouping in exponential representation of solutions of linear differential equations of infinite order. Zbl 0984.30003
Kawai, Takahiro; Struppa, Daniele C.
2001
WKB analysis of Painlevé transcendents with a large parameter. III: Local reduction of 2-parameter Painlevé transcendents. Zbl 0901.34057
Kawai, Takahiro; Takei, Yoshitsugu
1998
On the exact WKB analysis for the third order ordinary differential equations with a large parameter. Zbl 0963.34045
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1998
Some problems in algebraic analysis of singular perturbations. Zbl 0938.34532
Kawai, Takahiro; Takei, Yoshitsugu
1997
Can we find a new deformation of $$(\text{SL}_J)$$? Conjectures and supporting evidences. Zbl 0940.34072
Kawai, Takahiro; Takei, Yoshitsugu
1997
WKB analysis of Painlevé transcendents with a large parameter. I. Zbl 0848.34005
Kawai, Takahiro; Takei, Yoshitsugu
1996
WKB analysis of Painlevé transcendents with a large parameter. II: Multiple-scale analysis of Painlevé transcendents. Zbl 0894.34050
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1996
Interpolating varieties and the Fabry-Ehrenpreis-Kawai gap theorem. Zbl 0890.32007
Berenstein, C. A.; Kawai, T.; Struppa, D. C.
1996
On the structure of Painlevé transcendents with a large parameter. II. Zbl 0873.34048
Kawai, Takahiro; Takei, Yoshitsugu
1996
Exponential representation of a holomorphic solution of a system of differential equations associated with the theta-zerovalue. Zbl 0973.35055
Berenstein, Carlos A.; Kawai, Takahiro; Struppa, Daniele C.; Takei, Yoshitsugu
1996
New turning points in the exact WKB analysis for higher-order ordinary differential equations. Zbl 0831.34058
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1994
Secular equations through the exact WKB analysis. Zbl 0834.34068
Kawai, Takahiro; Takei, Yoshitsugu
1994
Algebraic analysis of singular perturbations – on exact WKB analysis. Zbl 0871.32015
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1993
Infrared catastrophe in a massless Feynman function. Zbl 0809.46088
Kawai, T.; Stapp, H. P.
1993
On the structure of Painlevé transcendents with a large parameter. Zbl 0794.34049
Kawai, Takahiro; Takei, Yoshitsugu
1993
Interpolation theorems in several complex variables and applications. Zbl 0796.32001
Berenstein, C. A.; Kawai, T.; Struppa, D. C.
1993
WKB analysis, period integrals, deformations, $$\ldots$$. Zbl 0966.34502
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1992
The Bender-Wu analysis and the Voros theory. Zbl 0782.35060
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1991
The structure of cohomology groups associated with the theta-zerovalues. Zbl 1138.32300
Kashiwara, Masaki; Kawai, Takahiro; Takei, Yoshitsugu
1991
On the existence of holomorphic solutions of systems of linear differential equations of infinite order and with constant coefficients. Zbl 0704.35015
Kawai, Takahiro; Struppa, Daniele C.
1990
Bicharacteristical convexity and the semi-global existence of holomorphic solutions of linear differential equations with holomorphic coefficients. Zbl 0703.35003
Kawai, Takahiro; Takei, Yoshitsugu
1990
On the boundary value of a solution of the heat equation. Zbl 0696.35066
Kawai, Takahiro; Matsuzawa, Tadato
1989
Microlocal analysis of infrared singularities. Zbl 0701.46058
Kawai, Takahiro; Stapp, Henry P.
1989
A particular partition of unity: An auxiliary tool in Hodge theory. Zbl 0702.14005
Kashiwara, Masaki; Kawai, Takahiro
1989
Systems of linear differential equations of infinite order: An aspect of infinite analysis. Zbl 0694.35225
Kawai, Takahiro
1989
The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005
Kashiwara, Masaki; Kawai, Takahiro
1987
The Fabry-Ehrenpreis gap theorem and linear differential equations of infinite order. Zbl 0618.30003
Kawai, Takahiro
1987
Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001
Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo
1986
Hodge structure and holonomic systems. Zbl 0629.14006
Kashiwara, Masaki; Kawai, Takahiro
1986
On a class of linear differential operators of infinite order with finite index. Zbl 0628.35003
Aoki, Takashi; Kashiwara, Masaki; Kawai, Takahiro
1986
On the global existence of real analytic solutions and hyperfunction solutions of linear differential equations. Zbl 0618.35002
Kawai, Takahiro
1986
On a closed range property of a linear differential operator. Zbl 0607.35033
Kawai, Takahiro; Takei, Yoshitsugu
1986
Systems of microdifferential equations of infinite order. Zbl 0759.58044
Kawai, Takahiro
1986
The Poincaré lemma for a variation of polarized Hodge structure. Zbl 0576.14010
Kashiwara, Masaki; Kawai, Takahiro
1985
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
1984
The Fabry-Ehrenpreis gap theorem for hyperfunctions. Zbl 0554.46017
Kawai, Takahiro
1984
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
1983
Microlocal analysis. Zbl 0536.58030
Kashiwara, Masaki; Kawai, Takahiro
1983
An example of a complex of linear differential operators of infinite order. Zbl 0525.35082
Kawai, Takahiro
1983
On the regular holonomic character of the S-matrix and microlocal analysis of unitarity-type integrals. Zbl 0491.35066
Kawai, Takahiro; Stapp, Henry P.
1982
Poisson’s summation formula and Hamburger’s theorem. Zbl 0499.10042
Ehrenpreis, Leon; Kawai, Takahiro
1982
On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033
Kashiwara, Masaki; Kawai, Takahiro
1981
Second-microlocalization and asymptotic expansions. Zbl 0458.46027
Kashiwara, Masaki; Kawai, Takahiro
1980
The theory of holonomic systems with regular singularities and its relevance to physical problems. Zbl 0459.70013
Kashiwara, Masaki; Kawai, Takahiro
1980
On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003
Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes
1979
On holonomic systems for $$\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}$$. Zbl 0449.35067
Kashiwara, Masaki; Kawai, Takahiro
1979
On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019
Kashiwara, Masaki; Kawai, Takahiro
1979
Some applications of boundary value problems for elliptic systems of linear differential equations. Zbl 0454.46033
Kashiwara, Masaki; Kawai, Takahiro
1979
Seminar on micro-local analysis. Zbl 0409.00007
Guillemin, Victor W.; Kashiwara, Masaki; Kawai, Takahiro
1979
Micro-analyticity of the S-matrix and related functions. Zbl 0424.35078
Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P.
1979
Micro-local analysis of Feynman amplitudes. Zbl 0454.46034
Kashiwara, Masaki; Kawai, Takahiro
1979
On holonomic systems with regular singularities. Zbl 0425.70017
Kashiwara, Masaki; Kawai, Takahiro
1979
Extended Landau variety and the singularity spectrum of position-space Feynman amplitudes. Zbl 0454.46035
Kawai, Takahiro
1979
Monodromy structure of solutions of holonomic systems of linear differential equations is invariant under the deformation of the system. Zbl 0475.35005
Kashiwara, Masaki; Kawai, Takahiro
1979
A study of Feynman integrals by micro-differential equations. Zbl 0392.46025
Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio
1978
Microlocal properties of local elementary solutions for Cauchy problems for a class of hyperbolic linear differential operators. Zbl 0389.35032
Kawai, Takahiro; Nakamura, Gen
1978
On holonomic systems with regular singularities. Zbl 0482.35060
Kashiwara, Masaki; Kawai, Takahiro
1978
Holonomic systems of linear differential equations and Feynman integrals. Zbl 0449.35095
Kashiwara, Masaki; Kawai, Takahiro
1977
Discontinuity formula and Sato’s conjecture. Zbl 0368.35067
Kawai, Takahiro; Stapp, Henry P.
1977
Micro-analytic structure of the S-matrix and related functions. Zbl 0443.35059
Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P.
1977
Holonomic character and local monodromy structure of Feynman integrals. Zbl 0367.46039
Kashiwara, Masaki; Kawai, Takahiro
1977
Local extension of solutions of systems of linear differential equations with constant coefficients. Zbl 0344.35065
Bedford, Eric; Kawai, Takahiro
1977
Invariance of cohomology groups under a deformation of an elliptic system of linear differential equations. Zbl 0452.58024
Kawai, Takahiro
1977
Finiteness theorem for holonomic systems of micro-differential equations. Zbl 0361.35064
Kashiwara, Masaki; Kawai, Takahiro
1976
Extension of solutions of systems of linear differential equations. Zbl 0366.58013
Kawai, Takahiro
1976
On a conjecture of Regge and Sato on Feynman integrals. Zbl 0347.35061
Kashiwara, Masaki; Kawai, Takahiro
1976
Vanishing of cohomology groups on completely k-convex sets. Zbl 0369.32007
Kawai, Takahiro
1976
Structure of a single pseudodifferential equation in a real domain. Zbl 0318.35076
Kashiwara, M.; Kawai, T.; Oshima, T.
1976
Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066
Kashiwara, Masaki; Kawai, Takahiro
1975
Theory of vector-valued hyperfunctions. Zbl 0321.46033
Ion, Patrick D. F.; Kawai, Takahiro
1975
Micro-local properties of $$\prod^n_{j=1}f^{S_j}_{j^+}$$. Zbl 0304.35068
Kashiwara, Masaki; Kawai, Takahiro
1975
Theory of elliptic boundary value problems and its applications. Zbl 0376.35022
Kashiwara, Masaki; Kawai, Takahiro
1975
Removable singularities of solutions of systems of linear differential equations. Zbl 0298.35043
Kawai, Takahiro
1975
Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics. I. Zbl 0307.35081
Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio
1974
...and 22 more Documents
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
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### 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
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### 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)

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