Masatoshi NOUMI

Department of Mathematics, Kobe University
Rokko, Kobe 657-8501, Japan
tel: 078-803-5603
fax: 078-803-5610
office: Science B, Room B212


Research Interests:
Algebraic analysis of integrable systems, representation theory and special functions
(1) Quantum symmetric spaces and their spherical functions
(2) Lie theoretic approach to differential/difference equations of Painlevé type
(3) Elliptic hypergeometric functions and elliptic integrable systems

Recent Publications:
  1. M.Noumi: Painlevé equations through symmetry, Translations of Mathematical Monographs Vol. 223, American Mathematical Society, 2004.
  2. M.Noumi and Y.Yamada: Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions, Advanced Studies in Pure Mathematics 40(2004), Representation Theory of Algebraic Groups and Quanatum Groups, 371-442 (math-ph/0203030).
  3. K.Kajiwara, T.Masuda, M.Noumi, Y.Ohta, Y.Yamada: Hypergeometric solutions to the q-Painlevé equations, IMRN 2004, no.47, 2497-2521.
  4. M.Noumi and J.V.Stokman: Askey-Wilson polynomials: an affine Hecke algebra approach, in Laredo Lectures on Orthogonal Polynomials and Special Functions(R.Alvarez-Nodarse, F.Marcellan and W.Van Assche, Eds), pp. 111-144, Nova Science Publishers, 2004. (math.QA/0001033)
  5. K.Kajiwara, T.Masuda, M.Noumi, Y.Ohta, Y.Yamada: Cremona transformations and the elliptic difference Painlevé equation (in Japanese), RIMS Kokyuroku 1400(2004), 197-263.
  6. M.Noumi and Y.Yamada: Symmetries in Painlevé equations, Sugaku Expositions 17(2004), 203-218. (Translation of Sugaku 53(2001), 62-75, translated by T.Masuda)
  7. K.Kajiwara, T.Masuda, M.Noumi, Y.Ohta, Y.Yamada: Cubic pencils and Painlevé Hamiltonians, Funkcial. Ekvac. 48(2005), 147-160 (nlin.SI/0403009)
  8. K.Kajiwara, T.Masuda, M.Noumi, Y.Ohta, Y.Yamada: Hypergeometric solutions to the q-Painlevé equations (in Japanese), RIMS Kokyuroku 1422(2005), 77-98.
  9. K.Kajiwara, T.Masuda, M.Noumi, Y.Ohta, Y.Yamada: Construction of hypergeometric solutions to the q-Painlevé equations, IMRN 2005, no.24 1441-1463 (nlin.SI/0501051)
  10. K.Kajiwara, T.Masuda, M.Noumi, Y.Ohta and Y.Yamada: Point configurations, Cremona transformations and the elliptic difference Painlevé equation, Théories asymptotiques et équations de Painlevé, (Angers, juin 2004), Séminaires et Congrès 14(2006), 175--204.
  11. M.Noumi: Special functions arising from discrete Painlevé equations: A survey, J. Comput. Appl. Math. 202(2007), 48--55.
  12. Y.Komori, M.Noumi and J.Shiraishi: Kernel functions for difference operators of Ruijsenaars type and their applications, SIGMA 5(2009), 054, 40 pages (arXiv:0812.0279).