Masatoshi Noumi

Best Publications

• Macdonald's Symmetric Polynomials as Zonal Spherical Functions on Some Quantum Homogeneous Spaces

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  220
  Citations

• Finite dimensional representations of the quantum group GLq(n; C) and the zonal spherical functions on Uq(n-1)_??_Uq(n)

  Masatoshi Noumi;Hirofumi Yamada;Katsuhisa Mimachi;Katsuhisa Mimachi

  172
  Citations

• Representations of the quantum group SUq(2) and the little q-Jacobi polynomials

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  125
  Citations

• Higher order Painlevé equations of type $A^{(1)}_l$

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  95
  Citations

• Unitary representations of the quantum group SU q (1,1): Structure of the dual space ofU q (sl(2))

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  89
  Citations

• Quantum 2-spheres and bigq-Jacobi polynomials

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  86
  Citations

• Affine Hecke algebras and raising operators for Macdonald polynomials

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  82
  Citations

• A study on the fourth<i>q</i>-Painlevé equation

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  79
  Citations

• Multiple elliptic hypergeometric series. An approach from the Cauchy determinant

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  75
  Citations

• Discrete Dynamical Systems with W(A(1)m−1 × A(1)n−1) Symmetry

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  68
  Citations

• A quantum analogue of the capelli identity and an elementary differential calculus on GLq(n)

  Masatoshi Noumi;Tôru Umeda;Masato Wakayama

  67
  Citations

• Quantum symmetric spaces and related q-orthogonal polynomials

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  66
  Citations

• Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions

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  62
  Citations

• q-Painlevé Systems Arising from q-KP Hierarchy

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  56
  Citations

• A family of quantum projective spaces and related $q$-hypergeometric orthogonal polynomials

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  54
  Citations

• ₁₀<i>E</i>₉solution to the elliptic Painlev  equation

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  53
  Citations

• Unitary representations of the quantum group SU q (1, 1): II ? Matrix elements of unitary representations and the basic hypergoemetric functions

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  50
  Citations

• Multivariable Askey-Wilson polynomials and quantum complex Grassmannians

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  48
  Citations

• On the structure of cohomology groups attached to the integral of certain many-valued analytic functions

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  47
  Citations

• Askey-Wilson polynomials: an affine Hecke algebra approach

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  42
  Citations