Kawai, Takahiro
Overview
Works:  136 works in 327 publications in 2 languages and 3,170 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Contributor, Other 
Classifications:  QA300, 515 
Publication Timeline
.
Most widely held works by
Takahiro Kawai
Seminar on microlocal analysis by
Victor Guillemin(
Book
)
16 editions published between 1979 and 2016 in English and Undetermined and held by 432 WorldCat member libraries worldwide
Based on a seminar sponsored by the Institute for Advanced Study in 19771978, this set of papers introduces microlocal analysis concisely and clearly to mathematicians with an analytical background. The papers treat the theory of microfunctions and applications such as boundary values of elliptic partial differential equations, propagation of singularities in the vicinity of degenerate characteristics, holonomic systems, Feynman integrals from the hyperfunction point of view, and harmonic analysis on Lie groups
16 editions published between 1979 and 2016 in English and Undetermined and held by 432 WorldCat member libraries worldwide
Based on a seminar sponsored by the Institute for Advanced Study in 19771978, this set of papers introduces microlocal analysis concisely and clearly to mathematicians with an analytical background. The papers treat the theory of microfunctions and applications such as boundary values of elliptic partial differential equations, propagation of singularities in the vicinity of degenerate characteristics, holonomic systems, Feynman integrals from the hyperfunction point of view, and harmonic analysis on Lie groups
Foundations of algebraic analysis by
Masaki Kashiwara(
Book
)
10 editions published in 1986 in English and held by 405 WorldCat member libraries worldwide
10 editions published in 1986 in English and held by 405 WorldCat member libraries worldwide
Algebraic analysis : papers dedicated to Professor Mikio Sato on the occasion of his sixtieth birthday(
Book
)
5 editions published in 1988 in English and held by 203 WorldCat member libraries worldwide
5 editions published in 1988 in English and held by 203 WorldCat member libraries worldwide
Microlocal analysis and complex Fourier analysis by Kyōto Daigaku(
Book
)
9 editions published in 2002 in English and Undetermined and held by 77 WorldCat member libraries worldwide
A collection of papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics. Most of the papers originate from the talks given at the conference "Prospects of Generalized Functions" (held in November 2001 at RIMS, Kyoto). Reflecting the fact that the papers are dedicated to Mitsuo Morimoto, the subjects considered in this book are interdisciplinary, just as Morimoto's works are. The historical backgrounds of the subjects in some of the papers are also discussed in depth. Thus, the volume should be valuable not only to the specialists in the fields, but also to those who are interested in the history of modern mathematics such as distributions and hyperfunctions
9 editions published in 2002 in English and Undetermined and held by 77 WorldCat member libraries worldwide
A collection of papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics. Most of the papers originate from the talks given at the conference "Prospects of Generalized Functions" (held in November 2001 at RIMS, Kyoto). Reflecting the fact that the papers are dedicated to Mitsuo Morimoto, the subjects considered in this book are interdisciplinary, just as Morimoto's works are. The historical backgrounds of the subjects in some of the papers are also discussed in depth. Thus, the volume should be valuable not only to the specialists in the fields, but also to those who are interested in the history of modern mathematics such as distributions and hyperfunctions
Algebraic analysis of differential equations : from microlocal analysis to exponential asymptotics : festschrift in honor
of Takahiro Kawai by
Takashi Aoki(
Book
)
8 editions published in 2008 in English and held by 65 WorldCat member libraries worldwide
"This volume contains 23 articles on algebraic analysis of differential equations and related topics, most of which were presented as papers at the international conference "Algebraic Analysis of Differential Equations  from Microlocal Analysis to Exponential Asymptotics" at Kyoto University in 2005. The articles contained here present many new results and ideas, providing interested researchers and students with valuable suggestions and instructive guidance for their work."Jacket
8 editions published in 2008 in English and held by 65 WorldCat member libraries worldwide
"This volume contains 23 articles on algebraic analysis of differential equations and related topics, most of which were presented as papers at the international conference "Algebraic Analysis of Differential Equations  from Microlocal Analysis to Exponential Asymptotics" at Kyoto University in 2005. The articles contained here present many new results and ideas, providing interested researchers and students with valuable suggestions and instructive guidance for their work."Jacket
Structure of solutions of differential equations : Katata/Kyoto, 1995(
Book
)
6 editions published in 1996 in English and held by 65 WorldCat member libraries worldwide
6 editions published in 1996 in English and held by 65 WorldCat member libraries worldwide
Toward the exact WKB analysis of differential equations, linear or nonlinear by Algebraic Analysis of Singular Perturbations(
Book
)
4 editions published in 2000 in English and held by 42 WorldCat member libraries worldwide
4 editions published in 2000 in English and held by 42 WorldCat member libraries worldwide
Virtual Turning Points by
Naofumi Honda(
)
10 editions published in 2015 in English and held by 30 WorldCat member libraries worldwide
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the NoumiYamada type and to the analysis of nonadiabatic transition probability problems in three levels. As M.V. Fedoryuk once lamented, global asymptotic analysis of higher order differential equations had been thought to be impossible to construct. In 1982, however, H.L. Berk, W.M. Nevins, and K.V. Roberts published a remarkable paper in the Journal of Mathematical Physics indicating that the traditional Stokes geometry cannot globally describe the Stokes phenomena of solutions of higher order equations; a new Stokes curve is necessary.Résumé de l'éditeur
10 editions published in 2015 in English and held by 30 WorldCat member libraries worldwide
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the NoumiYamada type and to the analysis of nonadiabatic transition probability problems in three levels. As M.V. Fedoryuk once lamented, global asymptotic analysis of higher order differential equations had been thought to be impossible to construct. In 1982, however, H.L. Berk, W.M. Nevins, and K.V. Roberts published a remarkable paper in the Journal of Mathematical Physics indicating that the traditional Stokes geometry cannot globally describe the Stokes phenomena of solutions of higher order equations; a new Stokes curve is necessary.Résumé de l'éditeur
Algebraic analysis, papers dedicated to Professor Mikio Sato on the occasion of his sixtieth birthday by
Masaki Kashiwara(
Book
)
9 editions published in 1988 in English and held by 24 WorldCat member libraries worldwide
9 editions published in 1988 in English and held by 24 WorldCat member libraries worldwide
Algebraic analysis of singular perturbation theory by
Takahiro Kawai(
Book
)
2 editions published in 2005 in English and held by 15 WorldCat member libraries worldwide
2 editions published in 2005 in English and held by 15 WorldCat member libraries worldwide
On the global existence of real annalytic solutions of linear differential equationss; lectures given at the Symposium on
the Theory of Hyperfunctions and Analytic Functionals held at Research Institute for Mathematical Sciences, Kyoto University
in September 2730, 1971 by
Takahiro Kawai(
Book
)
12 editions published between 1971 and 1987 in English and held by 13 WorldCat member libraries worldwide
12 editions published between 1971 and 1987 in English and held by 13 WorldCat member libraries worldwide
Tokui setsudō no daisū kaisekigaku by
Takahiro Kawai(
Book
)
3 editions published between 1998 and 2008 in Japanese and held by 8 WorldCat member libraries worldwide
3 editions published between 1998 and 2008 in Japanese and held by 8 WorldCat member libraries worldwide
An extension theorem for real analytic solutions of systems of differential equations with constant coefficients by
Takahiro Kawai(
Book
)
3 editions published in 1974 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1974 in English and held by 5 WorldCat member libraries worldwide
Half of the Toulouse project part 5 is completed : structure theorem for instantontype solutions of (Pj)m (J=I, II or IV)
near a simple Pturning point of the first kind by
Takahiro Kawai(
Book
)
2 editions published in 2007 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2007 in English and held by 5 WorldCat member libraries worldwide
Removable singularities of real analytical solutions of linear differential eqiations with constant coefficients by
Takahiro Kawai(
Book
)
5 editions published in 1975 in English and held by 4 WorldCat member libraries worldwide
5 editions published in 1975 in English and held by 4 WorldCat member libraries worldwide
On the Stokes geometry of higher order Painlevé equations by
Takahiro Kawai(
Book
)
3 editions published in 2004 in English and held by 4 WorldCat member libraries worldwide
Abstract: "We show several basic properties concerning the relation between the Stokes geometry (i.e., configuration of Stokes curves and turning points) of a higher order Painlevé equation with a large parameter and the Stokes geometry of (one of) the underlying Lax pair. The higherorder Painlevé equation with a large parameter to be considered in this paper is one of the members of P[subscript J]hierarchy with J=I, II1 or II2, which are concretely given in Section 1. Since we deal with higher order equations, the Stokes curves may cross; some anomaly called the Nishikawa phenomenon may occur at the crossing point, and in this paper we analyze the mechanism why and how the Nishikawa phenomenon occurs. Several examples of Stokes geometry are given in Section 5 to visualize the core part of our results."
3 editions published in 2004 in English and held by 4 WorldCat member libraries worldwide
Abstract: "We show several basic properties concerning the relation between the Stokes geometry (i.e., configuration of Stokes curves and turning points) of a higher order Painlevé equation with a large parameter and the Stokes geometry of (one of) the underlying Lax pair. The higherorder Painlevé equation with a large parameter to be considered in this paper is one of the members of P[subscript J]hierarchy with J=I, II1 or II2, which are concretely given in Section 1. Since we deal with higher order equations, the Stokes curves may cross; some anomaly called the Nishikawa phenomenon may occur at the crossing point, and in this paper we analyze the mechanism why and how the Nishikawa phenomenon occurs. Several examples of Stokes geometry are given in Section 5 to visualize the core part of our results."
On the complete description of the Stokes geometry for the first Painlevé hierarchy by
Takahiro Kawai(
Book
)
3 editions published in 2004 in English and held by 4 WorldCat member libraries worldwide
Abstract: "One of the central issues of this article is the introduction of the notion of virtual turning points for higher order Painlevé equations, and two of the authors (Kawai and Takei), together with T. Aoki, fondly remember the stimulating and comfortable conference (Algebraic analysis of singular perturbations, 1991), which Professor Boutet de Monvel, together with Professor M. Sato, organized, and where the notion of a virtual turning point for linear ordinary differential equations was first made public (under the modest name 'a new turning point'). The notion of virtual turning points is one of the most important gifts to the exact WKB analysis from microlocal analysis, and hence we believe this article to be most appropriate to dedicate to Professor Boutet de Monvel, who has made substantial contributions to the development of microlocal analysis and asymptotic analysis."
3 editions published in 2004 in English and held by 4 WorldCat member libraries worldwide
Abstract: "One of the central issues of this article is the introduction of the notion of virtual turning points for higher order Painlevé equations, and two of the authors (Kawai and Takei), together with T. Aoki, fondly remember the stimulating and comfortable conference (Algebraic analysis of singular perturbations, 1991), which Professor Boutet de Monvel, together with Professor M. Sato, organized, and where the notion of a virtual turning point for linear ordinary differential equations was first made public (under the modest name 'a new turning point'). The notion of virtual turning points is one of the most important gifts to the exact WKB analysis from microlocal analysis, and hence we believe this article to be most appropriate to dedicate to Professor Boutet de Monvel, who has made substantial contributions to the development of microlocal analysis and asymptotic analysis."
Microhyperbolic pseudodifferential operators by
Masaki Kashiwara(
Book
)
3 editions published in 1973 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1973 in English and held by 3 WorldCat member libraries worldwide
Daisū kaisekigaku no kiso by
Masaki Kashiwara(
Book
)
2 editions published between 1980 and 2008 in Japanese and held by 1 WorldCat member library worldwide
2 editions published between 1980 and 2008 in Japanese and held by 1 WorldCat member library worldwide
Seminar on MicroLocal Analysis. (AM93) by
Victor Guillemin(
)
1 edition published in 1980 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1980 in English and held by 0 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Kashiwara, Masaki 1947 Other Contributor Author Editor
 Kyōto Daigaku Sūri Kaiseki Kenkyūjo
 Fujita, Keiko Editor
 Kimura, Tatsuo 1947
 Guillemin, Victor 1937 Author
 Aoki, Takashi 1953 Author Editor
 Takei, Yoshitsugu Other Contributor
 Institute for Advanced Study (Princeton, N.J.)
 Honda, Naofumi 1963 Author
 Satō, Mikio 1928 Other
Useful Links
Associated Subjects
Algebra Algebraic functions Differential equations Differential equations, Linear Differential equations, LinearNumerical solutions Differential equations, Partial Fourier analysis Functions, Special Functions of complex variables Hyperfunctions Integral transforms Ktheory Mathematical analysis Mathematics Microlocal analysis Painlevé equations Pseudodifferential operators Quantum theory Satō, Mikio, Singular perturbations (Mathematics) Stokes equations WKB approximation