This homepage is now under construction.
The mail address has been changed.
I am Kouichi Takemura, an associate professor of Yokohama city university. Ph. D.(science)
I am studying mathematical physics.
[2]
Title: The orthogonal eigenbasis and norms of eigenvectors in the Spin Calogero-Sutherland Model.
Authors: Kouichi TAKEMURA and Denis UGLOV
Journal-ref: J. Phys. A30 (1997) 3685-3717 (solv-int/9611006).
[3]
Title: The Yangian Symmetry in the Spin Calogero Model and its Applications.
Author: Kouichi TAKEMURA
Journal-ref: J. Phys. A30 (1997) 6185-6204 (solv-int/9701015).
[4]
Title: Toroidal actions on level 1 modules of U_q(\hat{sl}_n).
Authors: Yoshihisa SAITO, Kouichi TAKEMURA and Denis UGLOV
Journal-ref: Transform. Groups 3 (1998) 75-102 (q-alg/9702024).
[5]
Title: The decomposition of level-1 irreducible highest weight modules with respect to the level-0 actions of the quantum affine algebra.
Author: Kouichi TAKEMURA
Journal-ref: J. Phys. A31 (1998) 1467-1485 (q-alg/9706011).
[6]
Title: Representations of the quantum toroidal algebra on highest weight modules of the quantum affine algebra of type $gl_N$.
Authors: Kouichi TAKEMURA and Denis UGLOV
Journal-ref: Publ. RIMS, Kyoto Univ. 35 (1999) 407-450 (math.QA/9806134).
[7]
Title: On the eigenstates of the elliptic Calogero-Moser model.
Author: Kouichi TAKEMURA
Journal-ref: Lett. Math. Phys. 53 (2000) 181-194 (math.QA/0002104).
[8]
Title: The perturbation of the quantum Calogero-Moser-Sutherland system and related results.
Authors: Yasushi KOMORI and Kouichi TAKEMURA
Journal-ref: Comm. Math. Phys. 227 (2002) 93-118 (math.QA/0009244).
[9]
Title: The Heun equation and the Calogero-Moser-Sutherland system I: the Bethe Ansatz method.
Author: Kouichi TAKEMURA
Journal-ref: Comm. Math. Phys. 235 (2003) 467-494 (math.CA/0103077).
[10]
Title: The Heun equation and the Calogero-Moser-Sutherland system II: the perturbation and the algebraic solution.
Author: Kouichi TAKEMURA
Journal-ref: Electron. J. Differential Equations 2004 No. 15 1-30 (math.CA/0112179).
[11]
Title: The Heun equation and the Calogero-Moser-Sutherland system III: the finite gap property and the monodromy.
Author: Kouichi TAKEMURA
Journal-ref: J. Nonlinear Math. Phys. 11 (2004) 21-46 (math.CA/0201208).
[12]
Title: Quasi-exact solvability of Inozemtsev models.
Author: Kouichi TAKEMURA
Journal-ref: J. Phys. A35 (2002) 8867-8881 (math.QA/0205274).
[13]
Title: Heun equation and Inozemtsev models.
Author: Kouichi TAKEMURA
Journal-ref: Inst. Phys. Conf. Ser. 173 (2003) 605-608, presented at 24th Int. Coll. Group Theoretical Methods in Physics, Paris, 15-20 July 2002 (nlin.SI/0303005).
[14]
Title: Analytic continuation of eigenvalues of the Lam\'e operator.
Author: Kouichi TAKEMURA
Journal-ref: J. Differential Equations 228 (2006) 1-16 (math.CA/0311307).
[15]
Title: On the Inozemtsev model.
Author: Kouichi TAKEMURA
Journal-ref: Czech. J. Phys. 53 (2003) 1131-1136, presented at the 12th Colloquium "Quantum Groups and Integrable Systems", Prague, June 12-14, 2003 (math-ph/0312037).
[16]
Title: The Heun equation and the Calogero-Moser-Sutherland system IV: the Hermite-Krichever Ansatz.
Author: Kouichi TAKEMURA
Journal-ref: Comm. Math. Phys. 258 (2005) 367-403 (math.CA/0406141).
[17]
Title: Fuchsian equation, Hermite-Krichever Ansatz and Painlev\'e equation.
Author: Kouichi TAKEMURA
Ref: Preprint (math.CA/0501428).
[18]
Title: On finite-gap potential.
Author: Kouichi TAKEMURA
Ref: Preprint (math.CA/0504540).
[19]
Title: The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations.
Author: Kouichi TAKEMURA
Journal-ref: J. Nonlinear Math. Phys. 13 (2006) 584-611 (math.CA/0508093).
[20]
Title: Towards Finite-Gap Integration of the Inozemtsev Models.
Author: Kouichi TAKEMURA
Journal-ref: (SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) 3 (2007), 038, 17 pages, a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, (math.CA/0703057).
[21]
Title: Finite-gap potential, Heun's differential equation and WKB analysis.
Author: Kouichi TAKEMURA
Ref: Preprint, an extended version of talk given at "Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations", RIMS, Kyoto, December 2006, to appear in RIMS Kokyuroku Bessatsu, math.CA/0703256.
[22]
Title: Integral representation of solutions to Fuchsian system and Heun's equation
Author: Kouichi TAKEMURA
Ref: Preprint, to appear in J. Math. Anal. Appl., arXiv:0705.3358 [math.CA]).
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Title: Heun equation and Painlev\'e equation.
Author: Kouichi TAKEMURA
Ref: Rokko Lectures in Mathematics vol. 18, 2005, pp. 305-322, (math.CA/0503288).