論文

(1) Yorimasa Oshime, Hiroyuki Yamagishi, Kohtaro Watanabe
"The best constant of L^p Sobolev inequality corresponding to Neumann boundary value problem for (-1)^M(d/dx)^{2M}"
Hiroshima Mathmatical J., 掲載予定

(2) Hiroyuki Yamagishi, Kohtaro Watanabe, Yoshinori Kametaka
“The best constant of L^p Sobolev inequality corresponding to　Dirichlet–Neumann boundary value problem”
Mathematical J. of Okayama Univ. 掲載予定

(3) Kohtaro Watanabe
“Lyapunov type inequality for the equation including 1-dim p-Laplacian”
Mathematical Inequalities & Applications (MIA)，15, 3, (2012) pp. 657-662

(4) Naoki Shioji, Kohtaro Watanabe
"Radial symmetry of positive solutions for semilinear elliptic equations in the unit ball via elliptic and hyperbolic geometry"
J. Differential Equations, 252, 2, 15, (2012) pp. 1392-1402

(5) Hiroyuki Yamagishi, Atsushi, Nagai, Kohtaro Watanabe, Kazuo Takemura, Yoshinori Kametaka
"The best constant of discrete Sobolev inequality corresponding to a bending problem of a string"
Kumamoto J. of Mathematics, 25, (2012), 1-15

(6) Hiroyuki Yamagishi, Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe, Kazuo Takemura
"Elliptic Theta Function and The Best Constant of Sobolev-type Inequality"
JSIAM Letters, 4, (2012) pp.1-4

(7) 亀高惟倫, 渡辺宏太郎，山岸弘幸, 永井敦, 武村一雄
"正多面体上の離散ソボレフ不等式の最良定数"
日本応用数理学会論文誌，21, 4, (2011) pp.289-308

(8) Kohtaro Watanabe, Hiroyuki Yamagishi, Yoshinori Kametaka
"Riemann zeta function and Lyapunov-type inequalities for certain high order differential equations"
Applied Mathematics and Computation, 218, 7, 1 (2011) pp. 3950-3953

(9) Yorimasa Oshime, Kohtaro Watanabe
“The best constant of L^p Sobolev inequality corresponding to Dirichlet boundary value problem II”
Tokyo J. of Mathematics, 34, (2011) pp.115-133

(10) Kohtaro Watanabe, Yoshinori Kametaka, Hiroyuki Yamagishi, Atsushi Nagai, Kazuo Takemura
“The best constant of Sobolev inequality corresponding to clamped boundary value problem”
Boundary Value Problems, Vol. 2011, (2011) Article ID 875057

(11) Kohtaro Watanabe, Yoshinori Kametaka, Atsushi Nagai, Kazuo Takemura, Hiroyuki Yamagishi
“The best constant of Sobolev and Kolmogorov type inequalities on a half line”
Far East J. of Applied Mathematics, 52, 2, (2011) pp.101-129

(12) Kazuo Takemura, Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai, Hiroyuki Yamagishi
“The best constant of Sobolev inequality corresponding to a bending problem of a beam on a half line”
Far East J. of Applied Mathematics, 51, 1, (2011) pp.45-71

(13) Takeo Yamada, Seiji Kataoka, Kohtaro Watanabe
“Listing up all the minimum spanning trees in an undirected graph,”
International J. of Computer Mathematics, 87, 14, (2010) pp.3175-3185

(14) Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe, Kazuo Takemura, Hiroyuki Yamagishi
“Giambelli's formula and the best constant of Sobolev inequality in one dimensional Euclidean space”
Sci. Mathematicae Japonicae, 71, 1, (2010) pp. 27-41

(15) 山岸弘幸，亀高惟倫，武村一雄，渡辺宏太郎，永井敦
“弾性基板上の張力をかけた棒のたわみの2点境界値問題と対応するソボレフ不等式の最良定数”
日本応用数理学会論文誌, 19, 4, (2009) pp. 489-518

(16) Kazuo Takemura, Hiroyuki Yamagishi, Yoshinori Kametaka, Kohtatro Watanabe, Atsushi Nagai
“The best constant of Sobolev inequality corresponding to a bending problem of a beam on an interval”
Tsukuba J. of Mathematics, 33, 2, (2009) pp. 253-280

(17) Atsushi Nagai, Yoshinori Kametaka, Kohtaro Watanabe
“The best constant of discrete Sobolev inequality”
J. of Physics, 45, 13, (2009) 454014

(18) Hiroyuki Yamagishi, Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe, Kazuo Takemura
“Riemann zeta function and the best constant of five series of Sobolev inequalities”
RIMS Kokyuroku Bessatsu, B13, (2009) pp. 125-139

(19) Kohtaro Watanabe, Yoshinori Kametaka, Atsushi Nagai, Hiroyuki Yamagishi, Kazuo Takemura
“Symmetrization of functions and the best constant of 1-dim L^p Sobolev inequality”
J. of Inequalities and Applications, 2009, (2009) Article ID 874631

(20) Yoshinori Kametaka, Hiroyuki Yamagishi, Kohtaro Watanabe, Atsushi Nagai, Kazuo Takemura, Masaharu Arai
“The best constant of some Sobolev inequality which corresponds to a Schrödinger operator with Dirac delta potential”
Sci. Mathematicae Japonicae, 69, 2, (2009) pp. 211-225

(21) Yoshinori Kametaka, Hiroyuki Yamagishi, Kohrtaro Watanabe, Atsushi Nagai, Kazuo Takemura
“The best constant of Sobolev inequality corresponding to Dirichlet boundary value problem for (-1)^M(d/dx)^(2M) ”
Sci. Mathematicae Japonicae, 68, 3, (2008) pp.299-311

(22) Kohtaro Watanabe, Izumi Takagi
“Representation formula for the critical points of the Tadjbakhsh–Odeh functional and its application”
Japan J. of Industrial and Applied Mathematics, 25, 3, (2008) pp.331-372

(23) Atsushi Nagai, Yoshinori Kametaka, Hiroyuki Yamagishi, Kazuo Takemura, Kohtaro Watanabe
“Discrete Bernoulli polynomials and the best constant of the discrete Sobolev inequality”　
Funkcialaj Ekvacioj, 51, 2, (2008) pp.307-327

(24) 武村一雄，永井敦，亀高惟倫，渡辺宏太郎，山岸弘幸
“ (-1)^M(d/dx)^(2M)に対する両端自由端条件境界値問題と対応するソボレフ不等式の最良定数”
日本応用数理学会論文誌，18, 1, (2008) pp.41-64

(25) 亀高惟倫，山岸弘幸，渡辺宏太郎，永井敦，武村一雄
リーマンゼータ関数と3系列のソボレフ不等式の最良定数
日本応用数理学会論文誌，18, 1, (2008) pp.29-40

(26) Yoshinori Kametaka, Kazuo Takemura, Hiroyuki Yamagishi, Atsushi Nagai, Kohtaro Watanabe
“Heaviside cable, Thomson cable and the best constant of a Sobolev-type inequality”
Sci. Mathematicae Japonicae, 68, 1, (2008) pp.739-755

(27) Kohtaro Watanabe, Yoshinori Kametaka, Atsushi Nagai, Kazuo Takemura, Hiroyuki Yamagishi
“The best constant of Sobolev inequality on a bounded interval”
J. of Mathematical Analysis and Applications, 340, 1, (2008) pp.699-706

(28) Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai, Hiroyuki Yamagishi, Kazuo Takemura
“The best constant of Sobolev inequality which corresponding to a bending problem of a string with periodic boundary condition”
Sci. Mathematicae Japonicae, 66, 2, (2007) pp. 151-168

(29) Yoshinori Kametaka, Yorimasa Oshime, Kohtaro Watanabe, Hiroyuki Yamagishi,Atsushi Nagai, Kazuo Takemura
“The best constant of Sobolev inequality corresponding to the periodic boundary value　problem for (-1)^M(d/dx)^(2M)”
Sci. Mathematicae Japonicae, 66, 2, (2007) pp. 169-181

(30) Yoshinori Kametaka, Hiroyuki Yamagishi, Kohtaro Watanabe, Atsushi Nagai, Kazuo Takemura
“Riemann zeta function , Bernoulli polynomials and the best constant of Sobolev inequality”
Sci. Mathematicae Japonicae, 65, 3, (2007) pp. 333-359

(31) Atsushi Nagai, Kazuo Takemura, Yoshinori Kametaka, Kohtaro Watanabe, Hiroyuki Yamagishi
“Green function for boundary value problem of 2M-th order linear ordinary differential equations　with open boundary condition”
Far East J. of Applied Mathematics, 26, 3, (2007) pp.393-406

(32) Yoshinori Kametaka, Kohtaro Watanabe, Atushi Nagai
“The best constant of Sobolev inequality in an n dimensional Euclidean space”
Proc. of the Japan Academy, 81, A, 3, (2005) pp. 57-60

(33) Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai, Sergei Pyatkov
“The best constant of Sobolev inequality in an n dimensional Euclidean space”
Sci. Mathematicae Japonicae, 61, 1, (2005) pp. 15-23

(34) Takeo Yamada, Seiji Kataoka, Kohtaro Watanabe
“Heuristic and exact algorithms for the spanning tree detection problem”
Computers & Operations Research, 32, 1, (2005) pp. 239-255

(35) Kohtaro Watanabe, Takeo Yamada, Seiji Kataoka
“A remark for the regularity of the coefficient matrix appearing in the charge simulation method”
The Japan J. of Industrial and Applied Mathematics, 20, 3, (2003) pp. 279-284

(36) 藤本晶子, 山田武夫, 片岡靖詞, 渡辺宏太郎
“一般化ナップザック共有問題の厳密解法”
防衛大学校理工学研究報告, 41, 1 (2003) pp. 123-135

(37) Kohtaro Watanabe, Takeo Yamada, Wataru Takahashi
“Reproducing kernels of (m=1,2,3) and least constants in Sobolev's inequalities”
Applicable Analysis, 82, 8, (2003) pp. 809-820

(38) Takeo Yamada, Seiji Kataoka, Kohtaro Watanabe
“Heuristic and exact algorithms for the disjunctively constrained knapsack problem”
情報処理学会論文誌，43，9, (2002) pp.2864-2870

(39) Kohtaro Watanabe
“Plane domains which are spectrally determined II”
J. of Inequalities and Applications, 7, 1, (2002) pp. 25-47

(40) Yasuaki Noguchi, Eiichi Kashiwagi, Kohtaro Watanabe, Fujihiko Matsumoto, Suguru Sugimoto
“Time-frequency analysis of the blood flow Doppler ultrasound signal”
Japan J. of Applied Physics, 40, (2001) pp. 3882-3887

(41) Kohtaro Watanabe
“Plane domains which are spectrally determined”
Annals of Global Analysis and Geometry, 18, 5, (2000) pp. 447-475

(42) 木下和之, 柏木英一, 渡辺宏太郎, 松原隆, 黒木慎吾
“信号の位相情報と時間－周波数分布の関係”
電子情報通信学会論文誌, J83 A，9, (2000) pp. 1109-1113

(43) 渡辺宏太郎, 野口泰明, 柏木英一
“時間―周波数解析における核関数設計に関する一考察”
電子情報通信学会論文誌, J81 A，12, (1998) pp. 1802-1806

(44) 柏木英一, 野口泰明, 渡辺宏太郎
“時間―周波数解析のための8の字核関数の提案”
電子情報通信学会論文誌, J81 A，6 (1998) pp. 907-915

(45) Yasuaki Noguchi, Kohtaro Watanabe, Eiichi Kashiwagi, Takeo Hamada, Ken Mariko, Fujihiko Matsumoto
“Ultrasound Doppler sinusoidal shift signal analysis by time-frequency distribution”
Japan J. of Applied Physics, 37, (1998) pp. 3064-3067

(46) 渡辺宏太郎
“パラメトリックウイナーフィルタにおける自由パラメータの特徴づけ”
電子情報通信学会論文誌, J78, A，5, (1995) pp. 646-648

(47) 渡辺宏太郎
“ソボレフ空間H^{s}_{0}(Ω)の再生核による補間法について”
情報処理学会論文誌, 35，10, (1994) pp. 1978-1987

国際会議等で発表した論文(プロシーディング)（レフリー付き)

(1) Yasuaki Noguchi, Kohtaro Watanabe, Eiichi Kashiwagi, Takeo Hamada, Ken Mariko, Fujihiko Matsumoto, Suguru Sugimoto
“Time-Frequency Analysis with Eight-Figure Kernel”
Proc. 19th International Conference IEEE/EMBS, Chicago, (1997) pp. 1324-1327

(2) Kohtaro Watanabe, Akira Namatame, Eiichi Kashiwagi
“A mathematical foundation on Poggio's regularity theory”
Proc. 1993 International Joint Conference on Neural Networks, Nagoya, (1993) pp. 1717-1722

総説・解説（レフリーなし）

(1) 渡辺宏太郎
“常微分方程式の固定端境界値問題とソボレフ不等式の最良定数”
京都大学数理解析研究所講究録1618「再生核の応用についての研究」(2008)pp.104-110

(2) 永井敦，亀高惟倫，山岸弘幸，武村一雄，渡辺宏太郎
“ソボレフ不等式の最良定数-連続から離散へ”
京都大学数理解析研究所講究録1618「再生核の応用についての研究」(2008)pp.89-94

(3) 山岸弘幸，亀高惟倫，永井敦，渡辺宏太郎，武村一雄
“(-1)^M(d/dx)^(2M) に対するディリクレ・ノイマン境界値問題と対応するソボレフ不等式の最良定数”
九州大学応用力学研究所研究集会報告19ME-S2「戸田格子の40周年-非線型波動研究の歩みと展望」(2008)pp.127-132

(4) 渡辺宏太郎
“１次元Sobolev空間の再生核とSobolev不等式の最良定数”
京都大学数理解析研究所講究録1352「再生核の理論の応用」(2004)pp.85-94