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Kawai, Takahiro

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Author ID: kawai.takahiro Recent zbMATH articles by "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

Publications by Year

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 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
292
1973
On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033
Kashiwara, Masaki; Kawai, Takahiro
105
1981
On the theory of Fourier hyperfunctions and its applications to partial differential equations with constant coefficients. Zbl 0212.46101
Kawai, Takahiro
47
1970
Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001
Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo
37
1986
Second-microlocalization and asymptotic expansions. Zbl 0458.46027
Kashiwara, Masaki; Kawai, Takahiro
30
1980
Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066
Kashiwara, Masaki; Kawai, Takahiro
29
1975
Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. Zbl 1100.34004
Kawai, Takahiro; Takei, Yoshitsugu
28
2005
On the boundary value problem for elliptic system of linear differential equations. I. Zbl 0271.35028
Kashiwara, Masaki; Kawai, Takahiro
26
1972
Boundary values of hyperfunction solutions of linear partial differential equations. Zbl 0225.35032
Komatsu, Hikosaburo; Kawai, Takahiro
24
1971
The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005
Kashiwara, Masaki; Kawai, Takahiro
23
1987
The Bender-Wu analysis and the Voros theory. Zbl 0782.35060
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
18
1991
On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003
Kashiwara, 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 0216.12303
Kawai, Takahiro
15
1971
WKB analysis of Painlevé transcendents with a large parameter. I. Zbl 0848.34005
Kawai, Takahiro; Takei, Yoshitsugu
14
1996
The Bender-Wu analysis and the Voros theory. II. Zbl 1175.34112
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
13
2009
WKB analysis of Painlevé transcendents with a large parameter. II: Multiple-scale analysis of Painlevé transcendents. Zbl 0894.34050
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
13
1996
On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019
Kashiwara, Masaki; Kawai, Takahiro
13
1979
On the Stokes geometry of higher order Painlevé equations. Zbl 1086.34072
Kawai, 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 0901.34057
Kawai, Takahiro; Takei, Yoshitsugu
11
1998
On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\). Zbl 0449.35067
Kashiwara, Masaki; Kawai, Takahiro
10
1979
Virtual turning points. Zbl 1354.34003
Honda, Naofumi; Kawai, Takahiro; Takei, Yoshitsugu
9
2015
On the exact WKB analysis of operators admitting infinitely many phases. Zbl 1056.34103
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
9
2004
New turning points in the exact WKB analysis for higher-order ordinary differential equations. Zbl 0831.34058
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
9
1994
On the boundary value problem for elliptic system of linear differential equations. II. Zbl 0279.35037
Kashiwara, Masaki; Kawai, Takahiro
9
1973
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
8
2005
Hodge structure and holonomic systems. Zbl 0629.14006
Kashiwara, Masaki; Kawai, Takahiro
8
1986
Holonomic systems of linear differential equations and Feynman integrals. Zbl 0449.35095
Kashiwara, Masaki; Kawai, Takahiro
8
1977
Finiteness theorem for holonomic systems of micro-differential equations. Zbl 0361.35064
Kashiwara, Masaki; Kawai, Takahiro
8
1976
On a class of linear differential operators of infinite order with finite index. Zbl 0628.35003
Aoki, Takashi; Kashiwara, Masaki; Kawai, Takahiro
7
1986
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
7
1983
A study of Feynman integrals by micro-differential equations. Zbl 0392.46025
Kashiwara, 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 1201.34141
Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
6
2010
Interpolating varieties and the Fabry-Ehrenpreis-Kawai gap theorem. Zbl 0890.32007
Berenstein, C. A.; Kawai, T.; Struppa, D. C.
6
1996
Algebraic analysis of singular perturbations – on exact WKB analysis. Zbl 0871.32015
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
6
1993
The Fabry-Ehrenpreis gap theorem and linear differential equations of infinite order. Zbl 0618.30003
Kawai, Takahiro
6
1987
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
6
1984
Microlocal analysis. Zbl 0536.58030
Kashiwara, Masaki; Kawai, Takahiro
6
1983
Some applications of boundary value problems for elliptic systems of linear differential equations. Zbl 0454.46033
Kashiwara, Masaki; Kawai, Takahiro
6
1979
Micro-analytic structure of the S-matrix and related functions. Zbl 0443.35059
Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P.
6
1977
Discontinuity formula and Sato’s conjecture. Zbl 0368.35067
Kawai, Takahiro; Stapp, Henry P.
6
1977
Theory of vector-valued hyperfunctions. Zbl 0321.46033
Ion, 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 0307.35081
Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio
6
1974
On the structure of single linear pseudo-differential equations. Zbl 0297.35069
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
6
1972
On the global existence of real analytic solutions of linear differential equations. I. Zbl 0234.35012
Kawai, T.
6
1972
Construction of elementary solutions for I-hyperbolic operators and solutions with small singularities. Zbl 0216.12301
Kawai, 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 1108.34065
Kawai, Takahiro; Takei, Yoshitsugu
5
2006
Secular equations through the exact WKB analysis. Zbl 0834.34068
Kawai, Takahiro; Takei, Yoshitsugu
5
1994
Extension of solutions of systems of linear differential equations. Zbl 0366.58013
Kawai, Takahiro
5
1976
On a conjecture of Regge and Sato on Feynman integrals. Zbl 0347.35061
Kashiwara, Masaki; Kawai, Takahiro
5
1976
Theorems on the finite-dimensionality of cohomology groups. IV. Zbl 0303.35057
Kawai, Takahiro
5
1973
Finite-dimensionality of cohomology groups attached to systems of linear differential equations. Zbl 0256.35059
Kawai, Takahiro
5
1973
Pseudo-differential operators in the theory of hyperfunctions. Zbl 0229.47034
Kashiwara, 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 1293.35301
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
4
2014
On the exact WKB analysis of microdifferential operators of WKB type. Zbl 1079.34070
Aoki, 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 0984.30003
Kawai, Takahiro; Struppa, Daniele C.
4
2001
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
4
1998
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.
4
1990
The Poincaré lemma for a variation of polarized Hodge structure. Zbl 0576.14010
Kashiwara, Masaki; Kawai, Takahiro
4
1985
Seminar on micro-local analysis. Zbl 0409.00007
Guillemin, Victor W.; Kashiwara, Masaki; Kawai, Takahiro
4
1979
Holonomic character and local monodromy structure of Feynman integrals. Zbl 0367.46039
Kashiwara, Masaki; Kawai, Takahiro
4
1977
Micro-local properties of \(\prod^n_{j=1}f^{S_j}_{j^+}\). Zbl 0304.35068
Kashiwara, Masaki; Kawai, Takahiro
4
1975
Theorems on the finite-dimensionality of cohomology groups. III. Zbl 0303.35056
Kawai, 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 1293.35300
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
3
2014
On the exact steepest descent method: a new method for the description of Stokes curves. Zbl 1063.34047
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
3
2001
Infrared catastrophe in a massless Feynman function. Zbl 0809.46088
Kawai, T.; Stapp, H. P.
3
1993
On the boundary value of a solution of the heat equation. Zbl 0696.35066
Kawai, Takahiro; Matsuzawa, Tadato
3
1989
Poisson’s summation formula and Hamburger’s theorem. Zbl 0499.10042
Ehrenpreis, Leon; Kawai, Takahiro
3
1982
On the regular holonomic character of the S-matrix and microlocal analysis of unitarity-type integrals. Zbl 0491.35066
Kawai, Takahiro; Stapp, Henry P.
3
1982
The theory of holonomic systems with regular singularities and its relevance to physical problems. Zbl 0459.70013
Kashiwara, Masaki; Kawai, Takahiro
3
1980
Micro-local analysis of Feynman amplitudes. Zbl 0454.46034
Kashiwara, Masaki; Kawai, Takahiro
3
1979
Micro-analyticity of the S-matrix and related functions. Zbl 0424.35078
Kashiwara, 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 0389.35032
Kawai, Takahiro; Nakamura, Gen
3
1978
Theory of elliptic boundary value problems and its applications. Zbl 0376.35022
Kashiwara, Masaki; Kawai, Takahiro
3
1975
Theorems on the finite -dimensionality of cohomology groups. I. Zbl 0249.58014
Kawai, Takahiro
3
1972
Construction of a local elementary solution for linear partial differential operators. I, II. Zbl 0216.12302
Kawai, 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 1279.34105
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
2
2012
On the exact WKB analysis of higher order simple-pole type operators. Zbl 1231.34155
Kawai, 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 1228.34144
Kawai, Takahiro; Takei, Yoshitsugu
2
2011
Exact WKB analysis of non-adiabatic transition probabilities for three levels. Zbl 1027.81010
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
2
2002
On the structure of Painlevé transcendents with a large parameter. Zbl 0794.34049
Kawai, Takahiro; Takei, Yoshitsugu
2
1993
Systems of linear differential equations of infinite order: An aspect of infinite analysis. Zbl 0694.35225
Kawai, Takahiro
2
1989
The Fabry-Ehrenpreis gap theorem for hyperfunctions. Zbl 0554.46017
Kawai, Takahiro
2
1984
An example of a complex of linear differential operators of infinite order. Zbl 0525.35082
Kawai, Takahiro
2
1983
Extended Landau variety and the singularity spectrum of position-space Feynman amplitudes. Zbl 0454.46035
Kawai, Takahiro
2
1979
On holonomic systems with regular singularities. Zbl 0425.70017
Kashiwara, Masaki; Kawai, Takahiro
2
1979
On holonomic systems with regular singularities. Zbl 0482.35060
Kashiwara, Masaki; Kawai, Takahiro
2
1978
Invariance of cohomology groups under a deformation of an elliptic system of linear differential equations. Zbl 0452.58024
Kawai, Takahiro
2
1977
Local extension of solutions of systems of linear differential equations with constant coefficients. Zbl 0344.35065
Bedford, Eric; Kawai, Takahiro
2
1977
Vanishing of cohomology groups on completely k-convex sets. Zbl 0369.32007
Kawai, Takahiro
2
1976
Removable singularities of solutions of systems of linear differential equations. Zbl 0298.35043
Kawai, Takahiro
2
1975
Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics. II. Zbl 0307.35082
Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio
2
1974
On the boundary value problem for the elliptic system of linear differential equations. Zbl 0272.35034
Kashiwara, M.; Kawai, T.
2
1973
On the global existence of real analytic solutions of linear differential equations. I. Zbl 0223.35020
Kawai, 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 0216.12401
Kawai, Takahiro
2
1971
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
1
2014
Remembering Leon Ehrenpreis (1930–2010). Zbl 1225.01086
Struppa, 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 1218.34105
Kawai, 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 1144.34059
Kawai, Takahiro; Takei, Yoshitsugu
1
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
1
2007
On global aspects of exact WKB analysis of operators admitting infinitely many phases. Zbl 1087.34064
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
1
2005
Virtual turning points. Zbl 1354.34003
Honda, 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 1293.35301
Kamimoto, 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 1293.35300
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
3
2014
Resurgent functions and linear differential operators of infinite order – Their happy marriage in exact WKB analysis. Zbl 1329.34142
Kamimoto, 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 1279.34105
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu
2
2012
On the exact WKB analysis of higher order simple-pole type operators. Zbl 1231.34155
Kawai, 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 1228.34144
Kawai, Takahiro; Takei, Yoshitsugu
2
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
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 1201.34141
Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
6
2010
On the structure of higher order simple-pole type operators in exact WKB analysis. Zbl 1218.34105
Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
1
2010
The Bender-Wu analysis and the Voros theory. II. Zbl 1175.34112
Aoki, 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 1144.34059
Kawai, Takahiro; Takei, Yoshitsugu
1
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
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 1108.34065
Kawai, Takahiro; Takei, Yoshitsugu
5
2006
Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. Zbl 1100.34004
Kawai, Takahiro; Takei, Yoshitsugu
28
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
8
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
1
2005
On the Stokes geometry of higher order Painlevé equations. Zbl 1086.34072
Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Takei, Yoshitsugu
12
2004
On the exact WKB analysis of operators admitting infinitely many phases. Zbl 1056.34103
Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu
9
2004
On the exact WKB analysis of microdifferential operators of WKB type. Zbl 1079.34070
Aoki, 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 1072.34105
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1
2004
On WKB analysis of higher order Painlevé equations with a large parameter. Zbl 1067.34088
Kawai, Takahiro; Takei, Yoshitsugu
1
2004
Exact WKB analysis of non-adiabatic transition probabilities for three levels. Zbl 1027.81010
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
2
2002
On infra-red singularities associated with \(QC\) photons. Zbl 1070.81529
Kawai, Takahiro; Stapp, Henry P.
1
2002
Overconvergence phenomena and grouping in exponential representation of solutions of linear differential equations of infinite order. Zbl 0984.30003
Kawai, Takahiro; Struppa, Daniele C.
4
2001
On the exact steepest descent method: a new method for the description of Stokes curves. Zbl 1063.34047
Aoki, 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 0901.34057
Kawai, Takahiro; Takei, Yoshitsugu
11
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
4
1998
Some problems in algebraic analysis of singular perturbations. Zbl 0938.34532
Kawai, Takahiro; Takei, Yoshitsugu
1
1997
Can we find a new deformation of \((\text{SL}_J)\)? Conjectures and supporting evidences. Zbl 0940.34072
Kawai, Takahiro; Takei, Yoshitsugu
1
1997
WKB analysis of Painlevé transcendents with a large parameter. I. Zbl 0848.34005
Kawai, Takahiro; Takei, Yoshitsugu
14
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
13
1996
Interpolating varieties and the Fabry-Ehrenpreis-Kawai gap theorem. Zbl 0890.32007
Berenstein, 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 0973.35055
Berenstein, Carlos A.; Kawai, Takahiro; Struppa, Daniele C.; Takei, Yoshitsugu
1
1996
On the structure of Painlevé transcendents with a large parameter. II. Zbl 0873.34048
Kawai, Takahiro; Takei, Yoshitsugu
1
1996
New turning points in the exact WKB analysis for higher-order ordinary differential equations. Zbl 0831.34058
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
9
1994
Secular equations through the exact WKB analysis. Zbl 0834.34068
Kawai, Takahiro; Takei, Yoshitsugu
5
1994
Algebraic analysis of singular perturbations – on exact WKB analysis. Zbl 0871.32015
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
6
1993
Infrared catastrophe in a massless Feynman function. Zbl 0809.46088
Kawai, T.; Stapp, H. P.
3
1993
On the structure of Painlevé transcendents with a large parameter. Zbl 0794.34049
Kawai, Takahiro; Takei, Yoshitsugu
2
1993
Interpolation theorems in several complex variables and applications. Zbl 0796.32001
Berenstein, C. A.; Kawai, T.; Struppa, D. C.
1
1993
WKB analysis, period integrals, deformations, \(\ldots\). Zbl 0966.34502
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
1
1992
The Bender-Wu analysis and the Voros theory. Zbl 0782.35060
Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu
18
1991
The structure of cohomology groups associated with the theta-zerovalues. Zbl 1138.32300
Kashiwara, 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 0704.35015
Kawai, Takahiro; Struppa, Daniele C.
4
1990
Bicharacteristical convexity and the semi-global existence of holomorphic solutions of linear differential equations with holomorphic coefficients. Zbl 0703.35003
Kawai, Takahiro; Takei, Yoshitsugu
1
1990
On the boundary value of a solution of the heat equation. Zbl 0696.35066
Kawai, Takahiro; Matsuzawa, Tadato
3
1989
Systems of linear differential equations of infinite order: An aspect of infinite analysis. Zbl 0694.35225
Kawai, Takahiro
2
1989
A particular partition of unity: An auxiliary tool in Hodge theory. Zbl 0702.14005
Kashiwara, Masaki; Kawai, Takahiro
1
1989
Microlocal analysis of infrared singularities. Zbl 0701.46058
Kawai, Takahiro; Stapp, Henry P.
1
1989
The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005
Kashiwara, Masaki; Kawai, Takahiro
23
1987
The Fabry-Ehrenpreis gap theorem and linear differential equations of infinite order. Zbl 0618.30003
Kawai, Takahiro
6
1987
Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001
Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo
37
1986
Hodge structure and holonomic systems. Zbl 0629.14006
Kashiwara, Masaki; Kawai, Takahiro
8
1986
On a class of linear differential operators of infinite order with finite index. Zbl 0628.35003
Aoki, Takashi; Kashiwara, Masaki; Kawai, Takahiro
7
1986
On the global existence of real analytic solutions and hyperfunction solutions of linear differential equations. Zbl 0618.35002
Kawai, Takahiro
1
1986
On a closed range property of a linear differential operator. Zbl 0607.35033
Kawai, Takahiro; Takei, Yoshitsugu
1
1986
Systems of microdifferential equations of infinite order. Zbl 0759.58044
Kawai, Takahiro
1
1986
The Poincaré lemma for a variation of polarized Hodge structure. Zbl 0576.14010
Kashiwara, Masaki; Kawai, Takahiro
4
1985
Microlocal analysis of theta functions. Zbl 0603.10023
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
6
1984
The Fabry-Ehrenpreis gap theorem for hyperfunctions. Zbl 0554.46017
Kawai, Takahiro
2
1984
Linear Differential equations of infinite order and theta functions. Zbl 0546.35047
Sato, Mikio; Kashiwara, Masaki; Kawai, Takahiro
7
1983
Microlocal analysis. Zbl 0536.58030
Kashiwara, Masaki; Kawai, Takahiro
6
1983
An example of a complex of linear differential operators of infinite order. Zbl 0525.35082
Kawai, Takahiro
2
1983
Poisson’s summation formula and Hamburger’s theorem. Zbl 0499.10042
Ehrenpreis, Leon; Kawai, Takahiro
3
1982
On the regular holonomic character of the S-matrix and microlocal analysis of unitarity-type integrals. Zbl 0491.35066
Kawai, Takahiro; Stapp, Henry P.
3
1982
On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033
Kashiwara, Masaki; Kawai, Takahiro
105
1981
Second-microlocalization and asymptotic expansions. Zbl 0458.46027
Kashiwara, Masaki; Kawai, Takahiro
30
1980
The theory of holonomic systems with regular singularities and its relevance to physical problems. Zbl 0459.70013
Kashiwara, Masaki; Kawai, Takahiro
3
1980
On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003
Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes
16
1979
On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019
Kashiwara, Masaki; Kawai, Takahiro
13
1979
On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\). Zbl 0449.35067
Kashiwara, Masaki; Kawai, Takahiro
10
1979
Some applications of boundary value problems for elliptic systems of linear differential equations. Zbl 0454.46033
Kashiwara, Masaki; Kawai, Takahiro
6
1979
Seminar on micro-local analysis. Zbl 0409.00007
Guillemin, Victor W.; Kashiwara, Masaki; Kawai, Takahiro
4
1979
Micro-local analysis of Feynman amplitudes. Zbl 0454.46034
Kashiwara, Masaki; Kawai, Takahiro
3
1979
Micro-analyticity of the S-matrix and related functions. Zbl 0424.35078
Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P.
3
1979
Extended Landau variety and the singularity spectrum of position-space Feynman amplitudes. Zbl 0454.46035
Kawai, Takahiro
2
1979
On holonomic systems with regular singularities. Zbl 0425.70017
Kashiwara, 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 0475.35005
Kashiwara, Masaki; Kawai, Takahiro
1
1979
A study of Feynman integrals by micro-differential equations. Zbl 0392.46025
Kashiwara, 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 0389.35032
Kawai, Takahiro; Nakamura, Gen
3
1978
On holonomic systems with regular singularities. Zbl 0482.35060
Kashiwara, Masaki; Kawai, Takahiro
2
1978
Holonomic systems of linear differential equations and Feynman integrals. Zbl 0449.35095
Kashiwara, Masaki; Kawai, Takahiro
8
1977
Micro-analytic structure of the S-matrix and related functions. Zbl 0443.35059
Kashiwara, Masaki; Kawai, Takahiro; Stapp, Henry P.
6
1977
Discontinuity formula and Sato’s conjecture. Zbl 0368.35067
Kawai, Takahiro; Stapp, Henry P.
6
1977
Holonomic character and local monodromy structure of Feynman integrals. Zbl 0367.46039
Kashiwara, Masaki; Kawai, Takahiro
4
1977
Invariance of cohomology groups under a deformation of an elliptic system of linear differential equations. Zbl 0452.58024
Kawai, Takahiro
2
1977
Local extension of solutions of systems of linear differential equations with constant coefficients. Zbl 0344.35065
Bedford, Eric; Kawai, Takahiro
2
1977
Finiteness theorem for holonomic systems of micro-differential equations. Zbl 0361.35064
Kashiwara, Masaki; Kawai, Takahiro
8
1976
Extension of solutions of systems of linear differential equations. Zbl 0366.58013
Kawai, Takahiro
5
1976
On a conjecture of Regge and Sato on Feynman integrals. Zbl 0347.35061
Kashiwara, Masaki; Kawai, Takahiro
5
1976
Vanishing of cohomology groups on completely k-convex sets. Zbl 0369.32007
Kawai, Takahiro
2
1976
Structure of a single pseudodifferential equation in a real domain. Zbl 0318.35076
Kashiwara, M.; Kawai, T.; Oshima, T.
1
1976
Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066
Kashiwara, Masaki; Kawai, Takahiro
29
1975
Theory of vector-valued hyperfunctions. Zbl 0321.46033
Ion, Patrick D. F.; Kawai, Takahiro
6
1975
Micro-local properties of \(\prod^n_{j=1}f^{S_j}_{j^+}\). Zbl 0304.35068
Kashiwara, Masaki; Kawai, Takahiro
4
1975
Theory of elliptic boundary value problems and its applications. Zbl 0376.35022
Kashiwara, Masaki; Kawai, Takahiro
3
1975
Removable singularities of solutions of systems of linear differential equations. Zbl 0298.35043
Kawai, Takahiro
2
1975
Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics. I. Zbl 0307.35081
Kashiwara, 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 0307.35082
Kashiwara, Masaki; Kawai, Takahiro; Oshima, Toshio
2
1974
...and 21 more Documents
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. Serie IV
8 Tohoku Mathematical Journal. Second Series
7 Arkiv för Matematik
7 Mathematische Annalen
7 Proceedings of the American Mathematical Society
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Pure and Applied Algebra
5 Journal d’Analyse Mathématique
5 Journal of Mathematical Analysis and Applications
5 Rendiconti del Seminario Matematico della Università di Padova
5 Journal of Algebraic Geometry
4 Acta Mathematica
4 Journal of the Mathematical Society of Japan
4 Nagoya Mathematical Journal
4 The Journal of Geometric Analysis
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 Selecta Mathematica. New Series
4 Bulletin des Sciences Mathématiques
4 Bulletin of the American Mathematical Society
3 Communications on Pure and Applied Mathematics
3 Mathematische Zeitschrift
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Bulletin of the American Mathematical Society. New Series
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Annales Henri Poincaré
2 Journal of Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Chaos, Solitons and Fractals
2 Journal of Geometry and Physics
2 Beiträge zur Algebra und Geometrie
2 Applied Mathematics and Computation
2 Journal of Algebra
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Constructive Approximation
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 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 Reports on Mathematical Physics
1 Studia Mathematica
1 Theoretical and Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Functiones et Approximatio. Commentarii Mathematici
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 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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 Tsukuba 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 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. 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)

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