青木貴史

アオキタカシ | Aoki Takashi

研究分野 (1件)：基礎解析学

研究キーワード (2件)：超局所解析学 , Microlocal Analysis

競争的資金等の研究課題 (34件)：

全件表示

論文 (63件)：

Takashi Aoki, Toshinori Takahashi, Mika Tanda. The hypergeometric function, the confluent hypergeometric function and WKB solutions. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. 2021. 73. 4. 1019-1062
Takashi Aoki, Kohei Iwaki, Toshinori Takahashi. Exact WKB analysisof Schrödinger equations with a Stokes curve of loop type. Funkcialaj Ekvacioj. 2019. 62. 1-34
T. Aoki, F. Colombo, I. Sabadini, D. C. Struppa. Continuity of some operators arising in the theory of superoscillations. Quantum Studies: Mathematics and Foundations. 2018. 5. 3. 463-476
T. Aoki, F. Colombo, I. Sabadini, D. C. Struppa. Continuity theorems for a class of convolution operators and applications to superoscillations. Annali di Matematica Pura ed Applicata. 2018. 197. 1-13
Takashi Aoki, Naofumi Honda, Susumu Yamazaki. Foundation of symbol theory for analytic pseudodifferential operators, I. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. 2017. 69. 4. 1715-1801

MISC (20件)：

青木貴史, 本多尚文, 山崎晋. Kernel functions and symbols of pseudodifferential operators of infinite order with an apparent parameter (Recent development of microlocal analysis and asymptotic analysis). 数理解析研究所講究録. 2013. 1861. 156-170
青木貴史, 反田美香. Borel sums of Voros coefficients of hypergeometric differential equations with a large parameter (Recent development of microlocal analysis and asymptotic analysis). 数理解析研究所講究録. 2013. 1861. 17-24
青木貴史, 本多尚文. 野海・山田系に付随する代数方程式系の解について (超函数と線型微分方程式 2006. 数学史とアルゴリズム). 数理解析研究所講究録. 2009. 1648. 107-116
Takashi Aoki, Hideyuki Majima, Yoshitsugu Takei, Nobuyuki Tose. Preface. Algebraic Analysis of Differential Equations: From Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai. 2008
Takashi Aoki, Hideyuki Majima, Yoshitsugu Takei, Nobuyuki Tose. Algebraic analysis of differential equations: From microlocal analysis to exponential asymptotics festschrift in honor of Takahiro Kawai. Algebraic Analysis of Differential Equations: From Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai. 2008. 1-352

書籍 (4件)：

数論-夢のまた夢
Wrold Sci. 2009
超函数・FBI変換・無限階擬微分作用素(共著)
共立出版 2004
Instanton-type formal solutions to the second Painleve equations with a large parameter
New Trends in Microlocal Analysis(Eds. J. M. Bony, M. Morimoto), Springer 1997
WKB analysis of Painlev(]J1117[) trancendents with a large parameter, (]G0002[). - Multible-scale analysis of Painlev(]J1117[) transcendents (共著)
Structure of Solutions of Differential Equations (Eds. M. Morimoto,T.Kawai), World Scientific

講演・口頭発表等 (13件)：

The hypergeometric function and WKB solutions
(15th International Symposium on Orthogonal Polynomials, Special Functions and Applications 2019)
Toward the exact WKB analysis of the generalized hypergeometric differential equation
(Workshop on Hypergeometric Equations 2019)
Toward the exact WKB analysis of the generalized hypergeometric differential equation, I
(RIMS Symposium (Open) "Various Problems of Algebraic Analysis" 2018)
超幾何微分方程式の完全WKB解析
(複素領域における微分方程式とその周辺 2018)
Exact WKB analysis of the Gauss hypergeometric function
(超局所解析と漸近解析 2017)

学歴 (4件)：

学位 (2件)：

所属学会 (1件)：

日本数学会

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青木 貴史