Edit Profile (opens in new tab) Noumi, Masatoshi Co-Author Distance Author ID: noumi.masatoshi Published as: Noumi, Masatoshi; Noumi, M. Documents Indexed: 105 Publications since 1981, including 2 Books and 2 Additional arXiv Preprints 2 Contributions as Editor · 3 Further Contributions Biographic References: 1 Publication Co-Authors: 52 Co-Authors with 88 Joint Publications 762 Co-Co-Authors all top 5 Co-Authors 20 single-authored 26 Yamada, Yasuhiko 17 Mimachi, Katsuhisa 11 Kajiwara, Kenji 7 Ohta, Yasuhiro 7 Shiraishi, Jun’ichi 7 Ueno, Kimio 6 Ito, Masahiko 6 Nakagami, Yoshiomi 5 Langmann, Edwin 5 Masuda, Tetsuya 4 Masuda, Tetsu 3 Saburi, Yutaka 3 Sugitani, Tetsuya 3 Umeda, Tôru 3 Wakayama, Masato 2 Dijkhuizen, Mathijs S. 2 Fujimoto, Yoshihisa 2 Hallnäs, Martin A. 2 Hoshino, Ayumu 2 Kajihara, Yasushi 2 Kawai, Takahiro 2 Kirillov, Anatol N. 2 Kita, Michitake 2 Komori, Yasushi 2 Okamoto, Kazuo 2 Rosengren, Hjalmar 2 Yamada, Hirofumi 1 Andronikof, Emmanuel 1 Aoki, Takashi 1 Atai, Farrokh 1 Athorne, Chris 1 Awata, Hidetoshi 1 Clarkson, Peter A. 1 Doliwa, Adam 1 Enomoto, Hikoe 1 Feĭgin, Boris L’vovich 1 Gilson, Claire R. 1 Hitotumatu, Sin 1 Ishii, Tadashi 1 Ishiura, Shinzo 1 Joshi, Nalini 1 Kataoka, Kiyoomi 1 Kato, Mitsuo 1 Kawata, Shotaro 1 Kimura, Tatsuo 1 Komatsu, Hikosaburo 1 Kurokawa, Nobushige 1 Masuda, Yasuho 1 Mazzocco, Marta 1 Miwa, Tetsuji 1 Morimoto, Mitsuo 1 Mulase, Motohiko 1 Nakagawa, Jun 1 Nakatani, Minobu 1 Namba, Kanji 1 Nijhoff, Frank W. 1 Odake, Satoru 1 Okada, Soichi 1 Ruijsenaars, Simon N. M. 1 Sano, Ayako 1 Sato, Mikio 1 Shibahara, Jun 1 Shirakawa, Miki 1 Sogawa, Harue 1 Stokman, Jasper V. 1 Sugiura, Mitsuo 1 Takano, Kyoichi 1 Takasaki, Kanehisa 1 Takei, Yoshitsugu 1 Tsujimoto, Satoshi 1 Uchikoshi, Keisuke 1 Ueno, Kenji 1 Umemura, Hiroshi 1 Yano, Tamaki all top 5 Serials 9 Letters in Mathematical Physics 6 Funkcialaj Ekvacioj. Serio Internacia 5 Proceedings of the Japan Academy. Series A 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Communications in Mathematical Physics 4 Advances in Mathematics 4 Duke Mathematical Journal 3 Compositio Mathematica 3 Journal of Physics A: Mathematical and General 3 RIMS Kokyuroku 2 Japanese Journal of Mathematics. New Series 2 Tôhoku Mathematical Journal. Second Series 2 Constructive Approximation 2 IMRN. International Mathematics Research Notices 2 Kyushu Journal of Mathematics 2 Sophia Kokyuroku in Mathematics 2 Journal of Physics A: Mathematical and Theoretical 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Journal of Computational and Applied Mathematics 1 Journal of the Faculty of Science. Section I A 1 Journal of Functional Analysis 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Sūgaku 1 CWI Quarterly 1 Sugaku Expositions 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Selecta Mathematica. New Series 1 Moscow Mathematical Journal 1 Translations of Mathematical Monographs 1 RIMS Kôkyûroku Bessatsu 1 SpringerBriefs in Physics 1 RIMS Kokyuroku all top 5 Fields 66 Special functions (33-XX) 28 Nonassociative rings and algebras (17-XX) 26 Difference and functional equations (39-XX) 25 Ordinary differential equations (34-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Quantum theory (81-XX) 12 Algebraic geometry (14-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Combinatorics (05-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Partial differential equations (35-XX) 6 Associative rings and algebras (16-XX) 5 Functional analysis (46-XX) 4 Topological groups, Lie groups (22-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 1,309 times in 831 Documents Cited by ▼ Year ▼ Macdonald’s symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces. Zbl 0874.33011 Noumi, Masatoshi 96 1996 Geometric aspects of Painlevé equations. Zbl 1441.34095 Kajiwara, Kenji; Noumi, Masatoshi; Yamada, Yasuhiko 67 2017 Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials. Zbl 0737.33012 Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Ueno, Kimio 58 1991 Affine Weyl groups, discrete dynamical systems and Painlevé equations. Zbl 0952.37031 Noumi, Masatoshi; Yamada, Yasuhiko 54 1998 Symmetries in the fourth Painlevé equation and Okamoto polynomials. Zbl 0932.34088 Noumi, Masatoshi; Yamada, Yasuhiko 48 1999 Quantum symmetric spaces and related \(q\)-orthogonal polynomials. Zbl 0898.33013 Noumi, Masatoshi; Sugitani, Tetsuya 43 1995 Finite dimensional representations of the quantum group \(GL_ q(n;\mathbb{C})\) and the zonal spherical functions on \(U_ q(n-1)\setminus U_ q(n)\). Zbl 0806.17016 Noumi, Masatoshi; Yamada, Hirofumi; Mimachi, Katsuhisa 40 1993 Unitary representations of the quantum group \(\text{SU}_q(1,1)\): structure of the dual space of \({\mathcal U}_q(\mathfrak{sl}(2))\). Zbl 0704.17007 Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Saburi, Yutaka; Ueno, Kimio 37 1990 Discrete dynamical systems with \(W(A^{(1)}_{m-1} \times A^{(1)}_{n-1})\) symmetry. Zbl 1077.37046 Kajiwara, Kenji; Noumi, Masatoshi; Yamada, Yasuhiko 35 2002 Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group action. Zbl 1061.05103 Noumi, Masatoshi; Yamada, Yasuhiko 35 2004 Multiple elliptic hypergeometric series. An approach from the Cauchy determinant. Zbl 1051.33009 Kajihara, Yasushi; Noumi, Masatoshi 35 2003 Kernel functions for difference operators of Ruijsenaars type and their applications. Zbl 1160.81393 Komori, Yasushi; Noumi, Masatoshi; Shiraishi, Jun’ichi 32 2009 Askey-Wilson polynomials: an affine Hecke algebra approach. Zbl 1096.33008 Noumi, Masatoshi; Stokman, Jasper V. 28 2004 Affine Hecke algebras and raising operators for Macdonald polynomials. Zbl 0939.05090 Kirillov, Anatol N.; Noumi, Masatoshi 27 1998 Higher order Painlevé equations of type \(A^{(1)}_ l\). Zbl 1140.34303 Noumi, Masatoshi; Yamada, Yasuhiko 27 1998 \(q\)-Painlevé systems arising from \(q\)-KP hierarchy. Zbl 1030.37045 Kajiwara, Kenji; Noumi, Masatoshi; Yamada, Yasuhiko 27 2002 Quantum 2-spheres and big q-Jacobi polynomials. Zbl 0699.33005 Noumi, Masatoshi; Mimachi, Katsuhisa 26 1990 Multivariable Askey-Wilson polynomials and quantum complex Grassmannians. Zbl 0877.33012 Noumi, Masatoshi; Dijkhuizen, Mathijs S.; Sugitani, Tetsuya 26 1997 Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. Zbl 0541.58001 Sato, M. 25 1984 A study on the fourth \(q\)-Painlevé equation. Zbl 1002.39030 Kajiwara, Kenji; Noumi, Masatoshi; Yamada, Yasuhiko 24 2001 Painlevé equations through symmetry. Translated from the 2000 Japanese original by the author. Zbl 1077.34003 Noumi, Masatoshi 24 2004 \(_{10}E_9\) solution to the elliptic Painlevé equation. Zbl 1044.39014 Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko 24 2003 Hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1076.33015 Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y. 23 2004 A family of quantum projective spaces and related \(q\)-hypergeometric orthogonal polynomials. Zbl 0906.33011 Dijkhuizen, Mathijs S.; Noumi, Masatoshi 22 1998 Representations of quantum groups and a q-analogue of orthogonal polynomials. (Représentations des groupes quantiques et un q-analogue des polynômes orthogonaux). Zbl 0658.22010 Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Ueno, Kimio 21 1988 \(q\)-difference raising operators for Macdonald polynomials and the integrality of transition coefficients. Zbl 0947.33015 Kirillov, A. N.; Noumi, M. 20 1999 A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 19 1994 MacDonald-Koornwinder polynomials and affine Hecke rings. Zbl 0900.05017 Noumi, Masatoshi 19 1995 Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions. Zbl 0704.17008 Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Saburi, Yutaka; Ueno, Kimio 18 1990 Padé interpolation for elliptic Painlevé equation. Zbl 1277.33020 Noumi, Masatoshi; Tsujimoto, Satoshi; Yamada, Yasuhiko 18 2013 Tableau representation for Macdonald’s ninth variation of Schur functions. Zbl 0990.05134 Nakagawa, Jun; Noumi, Masatoshi; Shirakawa, Miki; Yamada, Yasuhiko 16 2001 Special polynomials associated with the Painlevé equations. II. Zbl 1052.33504 Noumi, Masatoshi; Okada, Soichi; Okamoto, Kazuo; Umemura, Hiroshi 15 1998 Umemura polynomials for the Painlevé V equation. Zbl 0946.34077 Noumi, Masatoshi; Yamada, Yasuhiko 14 1998 Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 13 1996 Askey-Wilson polynomials and the quantum group \(SU_ q(2)\). Zbl 0707.33010 Noumi, Masatoshi; Mimachi, Katsuhisa 13 1990 Cubic pencils and Painlevé Hamiltonians. Zbl 1161.34064 Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y. 13 2005 A new Lax pair for the sixth Painlevé equation associated with \(\widehat{\mathfrak {so}} (8)\). Zbl 1047.34105 Noumi, Masatoshi; Yamada, Yasuhiko 12 2002 A reproducing kernel for nonsymmetric Macdonald polynomials. Zbl 0947.33014 Mimachi, Katsuhisa; Noumi, Masatoshi 10 1998 On the structure of cohomology groups attached to the integral of certain many-valued analytic functions. Zbl 0549.32003 Kita, Michitake; Noumi, Masatoshi 10 1983 Expansion of the solutions of a Gauss-Manin system at a point of infinity. Zbl 0554.32009 Noumi, Masatoshi 10 1984 Askey-Wilson polynomials as spherical functions on \(\mathrm{SU}_q(2)\). Zbl 0743.33011 Noumi, Masatoshi; Mimachi, Katsuhisa 10 1992 Determinant formulas for the Toda and discrete Toda equations. Zbl 1145.37327 Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko 9 2001 Point configurations, Cremona transformations and the elliptic difference Painlevé equation. Zbl 1137.39011 Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko 9 2006 The elliptic Painlevé Lax equation vs. van Diejen’s 8-coupling elliptic Hamiltonian. Zbl 1476.39021 Noumi, Masatoshi; Ruijsenaars, Simon; Yamada, Yasuhiko 9 2020 Notes on the flat structures associated with simple and simply elliptic singularities. Zbl 0964.32025 Noumi, Masatoshi; Yamada, Yasuhiko 8 1998 Irreducibility of the second and the fourth Painlevé equations. Zbl 0881.34052 Noumi, Masatoshi; Okamoto, Kazuo 8 1997 Construction of hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1082.33013 Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y. 8 2005 A generalization of the Sears-Slater transformation and elliptic Lagrange interpolation of type \(BC_{n}\). Zbl 1351.33018 Ito, Masahiko; Noumi, Masatoshi 7 2016 Affine Weyl group symmetries in Painlevé type equations. Zbl 1048.34150 Noumi, Masatoshi; Yamada, Yasuhiko 7 2000 Big \(q\)-Jacobi polynomials, \(q\)-Hahn polynomials, and a family of quantum 3-spheres. Zbl 0749.33010 Noumi, Masatoshi; Mimachi, Katsuhisa 7 1990 Quantum Grassmannians and \(q\)-hypergeometric series. Zbl 0782.33015 Noumi, Masatoshi 7 1992 Derivation of a \(BC_n\) elliptic summation formula via the fundamental invariants. Zbl 1366.33014 Ito, Masahiko; Noumi, Masatoshi 6 2017 Evaluation of the \(BC_n\) elliptic Selberg integral via the fundamental invariants. Zbl 1357.33020 Ito, Masahiko; Noumi, Masatoshi 6 2017 An integral representation of eigenfunctions for Macdonald’s \(q\)-difference operators. Zbl 0908.33011 Mimachi, Katsuhisa; Noumi, Masatoshi 6 1997 Basic properties of non-stationary Ruijsenaars functions. Zbl 1456.81210 Langmann, Edwin; Noumi, Masatoshi; Shiraishi, Junichi 6 2020 The Coxeter relations and KP map for non-commuting symbols. Zbl 1460.37065 Doliwa, Adam; Noumi, Masatoshi 6 2020 Affine Weyl group approach to Painlevé equations. Zbl 1014.34079 Noumi, M. 5 2002 Raising operators of row type for Macdonald polynomials. Zbl 0944.05094 Kajihara, Yasushi; Noumi, Masatoshi 5 2000 Birational Weyl group action arising from a nilpotent Poisson algebra. Zbl 0991.37047 Noumi, Masatoshi; Yamada, Yasuhiko 5 2001 Zonal spherical functions on the quantum homogeneous space \(\text{SU}_ q(n+1)/\text{SU}_ q(n)\). Zbl 0709.43008 Noumi, Masatoshi; Yamada, Hirofumi; Mimachi, Katsuhisa 5 1989 A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 5 1995 Solutions in terms of integrals of multivalued functions for the classical hypergeometric equations and the hypergeometric system on the configuration space. Zbl 1354.33008 Mimachi, Katsuhisa; Noumi, Masatoshi 4 2016 Bäcklund transformations and the manifolds of Painlevé systems. Zbl 1141.34355 Noumi, Masatoshi; Takano, Kyoichi; Yamada, Yasuhiko 4 2002 A calculus of the Gauss-Manin system of type \(A_ k\). I: The residual representation. II: The Hamiltonian representation. Zbl 0524.32013 Ishiura, Shinzo; Noumi, Masatoshi 4 1982 An infinite family of higher-order difference operators that commute with Ruijsenaars operators of type \(A\). Zbl 1470.81037 Noumi, Masatoshi; Sano, Ayako 4 2021 A determinant formula associated with the elliptic hypergeometric integrals of type \(BC_n\). Zbl 1426.39009 Ito, Masahiko; Noumi, Masatoshi 3 2019 Heisenberg realization for \(U_ q(\text{sl}_ n)\) on the flag manifold. Zbl 0787.17008 Awata, Hidetoshi; Noumi, Masatoshi; Odake, Satoru 3 1994 Rogers’s \(q\)-ultraspherical polynomials on a quantum \(2\)-sphere. Zbl 0780.33011 Noumi, Masatoshi; Mimachi, Katsuhisa 3 1991 Spherical functions on a family of quantum 3-spheres. Zbl 0760.33009 Noumi, Masatoshi; Mimachi, Katsuhisa 3 1992 Matrix elements of unitary representation of the quantum group \(\text{su}_q(1,1)\) and the basic hypergeometric functions. Zbl 1210.17025 Ueno, K.; Masuda, T.; Mimachi, K.; Nakagami, Y.; Noumi, M.; Saburi, Y. 3 1990 Quantum groups and \(q\)-orthogonal polynomials – towards a realization of Askey-Wilson polynomials on \(SU_ q(2)\). Zbl 0784.33010 Noumi, Masatoshi 3 1991 Tableau formulas for one-row Macdonald polynomials of types \(C_n\) and \(D_n\). Zbl 1331.33037 Feigin, Boris; Hoshino, Ayumu; Noumi, Masatoshi; Shibahara, Jun; Shiraishi, Jun’ichi 2 2015 Padé interpolation and hypergeometric series. Zbl 1347.41015 Noumi, Masatoshi 2 2015 Remarks on \(\tau\)-functions for the difference Painlevé equations of type \(E_8\). Zbl 1409.39008 Noumi, Masatoshi 2 2018 Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation. Zbl 1396.33035 Ito, Masahiko; Noumi, Masatoshi 2 2018 Wronskian determinants and the Gröbner representation of a linear differential equation: An approach to nonlinear integrable systems. Zbl 0686.58020 Noumi, Masatoshi 2 1989 \(q\)-hypergeometric systems arising from quantum Grassmannians. Zbl 1142.33317 Nakatani, Minobu; Noumi, Masatoshi 2 1998 Some transformation formulas associated with Askey-Wilson polynomials and Lassalle’s formulas for Macdonald-Koornwinder polynomials. Zbl 1336.33036 Hoshino, A.; Noumi, M.; Shiraishi, J. 2 2015 Construction of eigenfunctions for the elliptic Ruijsenaars difference operators. Zbl 1495.81062 Langmann, Edwin; Noumi, Masatoshi; Shiraishi, Junichi 2 2022 Special functions arising from discrete Painlevé equations: a survey. Zbl 1123.39013 Noumi, Masatoshi 2 2007 Higher order deformed elliptic Ruijsenaars operators. Zbl 1514.81160 Hallnäs, Martin; Langmann, Edwin; Noumi, Masatoshi; Rosengren, Hjalmar 2 2022 From Kajihara’s transformation formula to deformed Macdonald-Ruijsenaars and Noumi-Sano operators. Zbl 1484.81056 Hallnäs, Martin; Langmann, Edwin; Noumi, Masatoshi; Rosengren, Hjalmar 2 2022 Affine Hecke algebras and Macdonald polynomials. Zbl 0930.33009 Noumi, Masatoshi 1 1998 An introduction to birational Weyl group actions. Zbl 1055.14505 Noumi, Masatoshi 1 2002 Regular holonomic systems and their minimal extensions. I. Zbl 0593.22012 Noumi, Masatoshi 1 1984 On the structure of cohomology groups attached to the integral of certain many-valued analytic functions. Zbl 0526.32012 Kita, Michitake; Noumi, Masatoshi 1 1982 Representation of quantum groups. Zbl 0742.33015 Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Ueno, Kimio 1 1991 Symmetries in Painlevé equations. Zbl 1246.34085 Noumi, Masatoshi; Yamada, Yasuhiko 1 2004 Eigenfunctions of the van Diejen model generated by gauge and integral transformations. Zbl 1528.81128 Atai, Farrokh; Noumi, Masatoshi 1 2023 Notes on Umemura polynomials. Zbl 1470.33010 Noumi, Masatoshi 1 2021 Monodromy groups of hypergeometric functions satisfying algebraic equations. Zbl 1148.33301 Kato, Mitsuo; Noumi, Masatoshi 1 2003 Jacobi-Trudi formula for the higher Capelli elements of classical Lie algebras. Zbl 1521.17024 Kawata, Shotaro; Noumi, Masatoshi 1 2022 Eigenfunctions of the van Diejen model generated by gauge and integral transformations. Zbl 1528.81128 Atai, Farrokh; Noumi, Masatoshi 1 2023 Construction of eigenfunctions for the elliptic Ruijsenaars difference operators. Zbl 1495.81062 Langmann, Edwin; Noumi, Masatoshi; Shiraishi, Junichi 2 2022 Higher order deformed elliptic Ruijsenaars operators. Zbl 1514.81160 Hallnäs, Martin; Langmann, Edwin; Noumi, Masatoshi; Rosengren, Hjalmar 2 2022 From Kajihara’s transformation formula to deformed Macdonald-Ruijsenaars and Noumi-Sano operators. Zbl 1484.81056 Hallnäs, Martin; Langmann, Edwin; Noumi, Masatoshi; Rosengren, Hjalmar 2 2022 Jacobi-Trudi formula for the higher Capelli elements of classical Lie algebras. Zbl 1521.17024 Kawata, Shotaro; Noumi, Masatoshi 1 2022 An infinite family of higher-order difference operators that commute with Ruijsenaars operators of type \(A\). Zbl 1470.81037 Noumi, Masatoshi; Sano, Ayako 4 2021 Notes on Umemura polynomials. Zbl 1470.33010 Noumi, Masatoshi 1 2021 The elliptic Painlevé Lax equation vs. van Diejen’s 8-coupling elliptic Hamiltonian. Zbl 1476.39021 Noumi, Masatoshi; Ruijsenaars, Simon; Yamada, Yasuhiko 9 2020 Basic properties of non-stationary Ruijsenaars functions. Zbl 1456.81210 Langmann, Edwin; Noumi, Masatoshi; Shiraishi, Junichi 6 2020 The Coxeter relations and KP map for non-commuting symbols. Zbl 1460.37065 Doliwa, Adam; Noumi, Masatoshi 6 2020 A determinant formula associated with the elliptic hypergeometric integrals of type \(BC_n\). Zbl 1426.39009 Ito, Masahiko; Noumi, Masatoshi 3 2019 Remarks on \(\tau\)-functions for the difference Painlevé equations of type \(E_8\). Zbl 1409.39008 Noumi, Masatoshi 2 2018 Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation. Zbl 1396.33035 Ito, Masahiko; Noumi, Masatoshi 2 2018 Geometric aspects of Painlevé equations. Zbl 1441.34095 Kajiwara, Kenji; Noumi, Masatoshi; Yamada, Yasuhiko 67 2017 Derivation of a \(BC_n\) elliptic summation formula via the fundamental invariants. Zbl 1366.33014 Ito, Masahiko; Noumi, Masatoshi 6 2017 Evaluation of the \(BC_n\) elliptic Selberg integral via the fundamental invariants. Zbl 1357.33020 Ito, Masahiko; Noumi, Masatoshi 6 2017 A generalization of the Sears-Slater transformation and elliptic Lagrange interpolation of type \(BC_{n}\). Zbl 1351.33018 Ito, Masahiko; Noumi, Masatoshi 7 2016 Solutions in terms of integrals of multivalued functions for the classical hypergeometric equations and the hypergeometric system on the configuration space. Zbl 1354.33008 Mimachi, Katsuhisa; Noumi, Masatoshi 4 2016 Tableau formulas for one-row Macdonald polynomials of types \(C_n\) and \(D_n\). Zbl 1331.33037 Feigin, Boris; Hoshino, Ayumu; Noumi, Masatoshi; Shibahara, Jun; Shiraishi, Jun’ichi 2 2015 Padé interpolation and hypergeometric series. Zbl 1347.41015 Noumi, Masatoshi 2 2015 Some transformation formulas associated with Askey-Wilson polynomials and Lassalle’s formulas for Macdonald-Koornwinder polynomials. Zbl 1336.33036 Hoshino, A.; Noumi, M.; Shiraishi, J. 2 2015 Padé interpolation for elliptic Painlevé equation. Zbl 1277.33020 Noumi, Masatoshi; Tsujimoto, Satoshi; Yamada, Yasuhiko 18 2013 Kernel functions for difference operators of Ruijsenaars type and their applications. Zbl 1160.81393 Komori, Yasushi; Noumi, Masatoshi; Shiraishi, Jun’ichi 32 2009 Special functions arising from discrete Painlevé equations: a survey. Zbl 1123.39013 Noumi, Masatoshi 2 2007 Point configurations, Cremona transformations and the elliptic difference Painlevé equation. Zbl 1137.39011 Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko 9 2006 Cubic pencils and Painlevé Hamiltonians. Zbl 1161.34064 Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y. 13 2005 Construction of hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1082.33013 Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y. 8 2005 Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group action. Zbl 1061.05103 Noumi, Masatoshi; Yamada, Yasuhiko 35 2004 Askey-Wilson polynomials: an affine Hecke algebra approach. Zbl 1096.33008 Noumi, Masatoshi; Stokman, Jasper V. 28 2004 Painlevé equations through symmetry. Translated from the 2000 Japanese original by the author. Zbl 1077.34003 Noumi, Masatoshi 24 2004 Hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1076.33015 Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y. 23 2004 Symmetries in Painlevé equations. Zbl 1246.34085 Noumi, Masatoshi; Yamada, Yasuhiko 1 2004 Multiple elliptic hypergeometric series. An approach from the Cauchy determinant. Zbl 1051.33009 Kajihara, Yasushi; Noumi, Masatoshi 35 2003 \(_{10}E_9\) solution to the elliptic Painlevé equation. Zbl 1044.39014 Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko 24 2003 Monodromy groups of hypergeometric functions satisfying algebraic equations. Zbl 1148.33301 Kato, Mitsuo; Noumi, Masatoshi 1 2003 Discrete dynamical systems with \(W(A^{(1)}_{m-1} \times A^{(1)}_{n-1})\) symmetry. Zbl 1077.37046 Kajiwara, Kenji; Noumi, Masatoshi; Yamada, Yasuhiko 35 2002 \(q\)-Painlevé systems arising from \(q\)-KP hierarchy. Zbl 1030.37045 Kajiwara, Kenji; Noumi, Masatoshi; Yamada, Yasuhiko 27 2002 A new Lax pair for the sixth Painlevé equation associated with \(\widehat{\mathfrak {so}} (8)\). Zbl 1047.34105 Noumi, Masatoshi; Yamada, Yasuhiko 12 2002 Affine Weyl group approach to Painlevé equations. Zbl 1014.34079 Noumi, M. 5 2002 Bäcklund transformations and the manifolds of Painlevé systems. Zbl 1141.34355 Noumi, Masatoshi; Takano, Kyoichi; Yamada, Yasuhiko 4 2002 An introduction to birational Weyl group actions. Zbl 1055.14505 Noumi, Masatoshi 1 2002 A study on the fourth \(q\)-Painlevé equation. Zbl 1002.39030 Kajiwara, Kenji; Noumi, Masatoshi; Yamada, Yasuhiko 24 2001 Tableau representation for Macdonald’s ninth variation of Schur functions. Zbl 0990.05134 Nakagawa, Jun; Noumi, Masatoshi; Shirakawa, Miki; Yamada, Yasuhiko 16 2001 Determinant formulas for the Toda and discrete Toda equations. Zbl 1145.37327 Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko 9 2001 Birational Weyl group action arising from a nilpotent Poisson algebra. Zbl 0991.37047 Noumi, Masatoshi; Yamada, Yasuhiko 5 2001 Affine Weyl group symmetries in Painlevé type equations. Zbl 1048.34150 Noumi, Masatoshi; Yamada, Yasuhiko 7 2000 Raising operators of row type for Macdonald polynomials. Zbl 0944.05094 Kajihara, Yasushi; Noumi, Masatoshi 5 2000 Symmetries in the fourth Painlevé equation and Okamoto polynomials. Zbl 0932.34088 Noumi, Masatoshi; Yamada, Yasuhiko 48 1999 \(q\)-difference raising operators for Macdonald polynomials and the integrality of transition coefficients. Zbl 0947.33015 Kirillov, A. N.; Noumi, M. 20 1999 Affine Weyl groups, discrete dynamical systems and Painlevé equations. Zbl 0952.37031 Noumi, Masatoshi; Yamada, Yasuhiko 54 1998 Affine Hecke algebras and raising operators for Macdonald polynomials. Zbl 0939.05090 Kirillov, Anatol N.; Noumi, Masatoshi 27 1998 Higher order Painlevé equations of type \(A^{(1)}_ l\). Zbl 1140.34303 Noumi, Masatoshi; Yamada, Yasuhiko 27 1998 A family of quantum projective spaces and related \(q\)-hypergeometric orthogonal polynomials. Zbl 0906.33011 Dijkhuizen, Mathijs S.; Noumi, Masatoshi 22 1998 Special polynomials associated with the Painlevé equations. II. Zbl 1052.33504 Noumi, Masatoshi; Okada, Soichi; Okamoto, Kazuo; Umemura, Hiroshi 15 1998 Umemura polynomials for the Painlevé V equation. Zbl 0946.34077 Noumi, Masatoshi; Yamada, Yasuhiko 14 1998 A reproducing kernel for nonsymmetric Macdonald polynomials. Zbl 0947.33014 Mimachi, Katsuhisa; Noumi, Masatoshi 10 1998 Notes on the flat structures associated with simple and simply elliptic singularities. Zbl 0964.32025 Noumi, Masatoshi; Yamada, Yasuhiko 8 1998 \(q\)-hypergeometric systems arising from quantum Grassmannians. Zbl 1142.33317 Nakatani, Minobu; Noumi, Masatoshi 2 1998 Affine Hecke algebras and Macdonald polynomials. Zbl 0930.33009 Noumi, Masatoshi 1 1998 Multivariable Askey-Wilson polynomials and quantum complex Grassmannians. Zbl 0877.33012 Noumi, Masatoshi; Dijkhuizen, Mathijs S.; Sugitani, Tetsuya 26 1997 Irreducibility of the second and the fourth Painlevé equations. Zbl 0881.34052 Noumi, Masatoshi; Okamoto, Kazuo 8 1997 An integral representation of eigenfunctions for Macdonald’s \(q\)-difference operators. Zbl 0908.33011 Mimachi, Katsuhisa; Noumi, Masatoshi 6 1997 Macdonald’s symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces. Zbl 0874.33011 Noumi, Masatoshi 96 1996 Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 13 1996 Quantum symmetric spaces and related \(q\)-orthogonal polynomials. Zbl 0898.33013 Noumi, Masatoshi; Sugitani, Tetsuya 43 1995 MacDonald-Koornwinder polynomials and affine Hecke rings. Zbl 0900.05017 Noumi, Masatoshi 19 1995 A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 5 1995 A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 19 1994 Heisenberg realization for \(U_ q(\text{sl}_ n)\) on the flag manifold. Zbl 0787.17008 Awata, Hidetoshi; Noumi, Masatoshi; Odake, Satoru 3 1994 Finite dimensional representations of the quantum group \(GL_ q(n;\mathbb{C})\) and the zonal spherical functions on \(U_ q(n-1)\setminus U_ q(n)\). Zbl 0806.17016 Noumi, Masatoshi; Yamada, Hirofumi; Mimachi, Katsuhisa 40 1993 Askey-Wilson polynomials as spherical functions on \(\mathrm{SU}_q(2)\). Zbl 0743.33011 Noumi, Masatoshi; Mimachi, Katsuhisa 10 1992 Quantum Grassmannians and \(q\)-hypergeometric series. Zbl 0782.33015 Noumi, Masatoshi 7 1992 Spherical functions on a family of quantum 3-spheres. Zbl 0760.33009 Noumi, Masatoshi; Mimachi, Katsuhisa 3 1992 Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials. Zbl 0737.33012 Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Ueno, Kimio 58 1991 Rogers’s \(q\)-ultraspherical polynomials on a quantum \(2\)-sphere. Zbl 0780.33011 Noumi, Masatoshi; Mimachi, Katsuhisa 3 1991 Quantum groups and \(q\)-orthogonal polynomials – towards a realization of Askey-Wilson polynomials on \(SU_ q(2)\). Zbl 0784.33010 Noumi, Masatoshi 3 1991 Representation of quantum groups. Zbl 0742.33015 Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Ueno, Kimio 1 1991 Unitary representations of the quantum group \(\text{SU}_q(1,1)\): structure of the dual space of \({\mathcal U}_q(\mathfrak{sl}(2))\). Zbl 0704.17007 Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Saburi, Yutaka; Ueno, Kimio 37 1990 Quantum 2-spheres and big q-Jacobi polynomials. Zbl 0699.33005 Noumi, Masatoshi; Mimachi, Katsuhisa 26 1990 Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions. Zbl 0704.17008 Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Saburi, Yutaka; Ueno, Kimio 18 1990 Askey-Wilson polynomials and the quantum group \(SU_ q(2)\). Zbl 0707.33010 Noumi, Masatoshi; Mimachi, Katsuhisa 13 1990 Big \(q\)-Jacobi polynomials, \(q\)-Hahn polynomials, and a family of quantum 3-spheres. Zbl 0749.33010 Noumi, Masatoshi; Mimachi, Katsuhisa 7 1990 Matrix elements of unitary representation of the quantum group \(\text{su}_q(1,1)\) and the basic hypergeometric functions. Zbl 1210.17025 Ueno, K.; Masuda, T.; Mimachi, K.; Nakagami, Y.; Noumi, M.; Saburi, Y. 3 1990 Zonal spherical functions on the quantum homogeneous space \(\text{SU}_ q(n+1)/\text{SU}_ q(n)\). Zbl 0709.43008 Noumi, Masatoshi; Yamada, Hirofumi; Mimachi, Katsuhisa 5 1989 Wronskian determinants and the Gröbner representation of a linear differential equation: An approach to nonlinear integrable systems. Zbl 0686.58020 Noumi, Masatoshi 2 1989 Representations of quantum groups and a q-analogue of orthogonal polynomials. (Représentations des groupes quantiques et un q-analogue des polynômes orthogonaux). Zbl 0658.22010 Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Ueno, Kimio 21 1988 Soliton equations and the universal Grassmann manifold. Notes by M. Noumi. Zbl 0541.58001 Sato, M. 25 1984 Expansion of the solutions of a Gauss-Manin system at a point of infinity. Zbl 0554.32009 Noumi, Masatoshi 10 1984 Regular holonomic systems and their minimal extensions. I. Zbl 0593.22012 Noumi, Masatoshi 1 1984 On the structure of cohomology groups attached to the integral of certain many-valued analytic functions. Zbl 0549.32003 Kita, Michitake; Noumi, Masatoshi 10 1983 A calculus of the Gauss-Manin system of type \(A_ k\). I: The residual representation. II: The Hamiltonian representation. Zbl 0524.32013 Ishiura, Shinzo; Noumi, Masatoshi 4 1982 On the structure of cohomology groups attached to the integral of certain many-valued analytic functions. Zbl 0526.32012 Kita, Michitake; Noumi, Masatoshi 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 833 Authors 37 Noumi, Masatoshi 14 Joshi, Nalini 14 Tsuda, Teruhisa 13 Filipuk, Galina V. 13 van Diejen, Jan Felipe 13 Yamada, Yasuhiko 12 Mimachi, Katsuhisa 11 Ito, Masahiko 11 Kajiwara, Kenji 11 Stokman, Jasper V. 11 Vinet, Luc 10 Borodin, Alexei 10 Clarkson, Peter A. 10 Forrester, Peter J. 10 Grammaticos, Basil 10 Koelink, Erik 10 Moriyama, Sanefumi 10 Ramani, Alfred 9 Nakazono, Nobutaka 9 Wheeler, Michael 8 Kolb, Stefan 8 Langmann, Edwin 8 Masuda, Tetsu 8 Ragoucy, Eric 8 Rains, Eric M. 8 Rosengren, Hjalmar 8 Shiraishi, Jun’ichi 8 Stokes, Alexander 7 Corwin, Ivan Z. 7 Dzhamay, Anton 7 Emsiz, Erdal 7 Kassotakis, Pavlos G. 7 Landi, Giovanni 7 Ruijsenaars, Simon N. M. 6 Doliwa, Adam 6 Goodearl, Kenneth R. 6 Koornwinder, Tom H. 6 Masuda, Tetsuya 6 Nagao, Hidehito 6 Takenawa, Tomoyuki 6 Van Assche, Walter 6 Wakayama, Masato 5 Aomoto, Kazuhiko 5 Atai, Farrokh 5 Awata, Hidetoshi 5 Floreanini, Roberto 5 Furukawa, Tomohiro 5 Hallnäs, Martin A. 5 Kirillov, Anatol N. 5 Klimyk, Anatoliy Ul’yanovich 5 Letzter, Gail 5 Mudrov, Andrey I. 5 Nakagami, Yoshiomi 5 Petrov, Leonid 5 Pylyavskyy, Pavlo 5 Vlaar, Bart 5 Warnaar, S. Ole 5 Witte, Nicholas S. 5 Zygouras, Nikolaos 4 Chen, Yang 4 Ciccoli, Nicola 4 Crampé, Nicolas 4 Di Francesco, Philippe 4 Dijkhuizen, Mathijs S. 4 Frappat, Luc 4 Frieden, Gabriel 4 Gromak, Valeriĭ Ivanovich 4 Kalnins, Ernest G. 4 Katori, Makoto 4 Kedem, Rinat 4 Lam, Thomas F. 4 Lapointe, Luc 4 Lenagan, Thomas H. 4 Mazzocco, Marta 4 Molev, Alexander I. 4 Nagoya, Hajime 4 O’Connell, Neil 4 Razamat, Shlomo S. 4 Regelskis, Vidas 4 Roffelsen, Pieter 4 Rubtsov, Vladimir Nikolaevich 4 Samuelson, Peter 4 Sato, Ryosuke 4 Satsuma, Junkichi 4 Schmüdgen, Konrad 4 Shi, Yang 4 Tomatsu, Reiji 4 Tsuboi, Zengo 4 Umeda, Tôru 4 Willox, Ralph 4 Zhang, Jian 4 Zou, Yiming 3 Aggarwal, Amol 3 Alves, V. C. C. 3 Aratyn, Henrik 3 Berest, Yuri Yu. 3 Bershteĭn, Mikhaĭl Aleksandrovich 3 Bonelli, Giulio 3 Bonneux, Niels 3 Cantini, Luigi ...and 733 more Authors all top 5 Cited in 157 Serials 68 Communications in Mathematical Physics 56 Letters in Mathematical Physics 55 Journal of Mathematical Physics 46 Advances in Mathematics 37 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 33 Journal of Algebra 31 Journal of Physics A: Mathematical and Theoretical 21 Journal of High Energy Physics 16 Selecta Mathematica. New Series 15 Nuclear Physics. B 13 Duke Mathematical Journal 13 Transactions of the American Mathematical Society 11 Theoretical and Mathematical Physics 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Journal of Combinatorial Theory. Series A 10 Journal of Computational and Applied Mathematics 10 The Ramanujan Journal 9 Journal of Geometry and Physics 9 Proceedings of the American Mathematical Society 8 Proceedings of the Japan Academy. Series A 8 Studies in Applied Mathematics 8 Journal of Nonlinear Mathematical Physics 7 Nagoya Mathematical Journal 7 Physica D 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Mathematical Physics, Analysis and Geometry 6 Reviews in Mathematical Physics 6 Compositio Mathematica 6 Journal of the London Mathematical Society. Second Series 6 Mathematische Zeitschrift 6 Tôhoku Mathematical Journal. Second Series 6 Indagationes Mathematicae. New Series 6 Journal of Algebraic Combinatorics 6 Annales Henri Poincaré 5 Nonlinearity 5 Physics Letters. A 5 Annales de l’Institut Fourier 5 Journal of Functional Analysis 5 Constructive Approximation 5 International Journal of Mathematics 5 Journal of Mathematical Sciences (New York) 5 Transformation Groups 5 Algebras and Representation Theory 5 Random Matrices: Theory and Applications 4 Acta Applicandae Mathematicae 4 Probability Theory and Related Fields 4 Linear Algebra and its Applications 4 Kyushu Journal of Mathematics 4 The Electronic Journal of Combinatorics 4 Representation Theory 4 Differential Equations 3 Communications in Algebra 3 Israel Journal of Mathematics 3 Chaos, Solitons and Fractals 3 The Annals of Probability 3 Journal of Pure and Applied Algebra 3 Advances in Applied Mathematics 3 Sugaku Expositions 3 Séminaire Lotharingien de Combinatoire 3 Journal of Algebra and its Applications 3 Forum of Mathematics, Pi 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal of Modern Physics A 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Analysis and Applications 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Bulletin de la Société Mathématique de France 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Approximation Theory 2 Journal of the Mathematical Society of Japan 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 European Journal of Combinatorics 2 \(K\)-Theory 2 Numerical Algorithms 2 Bulletin of the American Mathematical Society. New Series 2 Russian Journal of Mathematical Physics 2 Georgian Mathematical Journal 2 Journal of Difference Equations and Applications 2 Annals of Mathematics. Second Series 2 Analysis and Applications (Singapore) 2 International Journal of Geometric Methods in Modern Physics 2 Advances in Difference Equations 2 Frontiers of Mathematics in China 2 Probability Surveys 2 Science China. Mathematics 2 Journal of Computational Dynamics 2 Combinatorial Theory 1 Modern Physics Letters A 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Mathematics of Computation 1 Acta Mathematica ...and 57 more Serials all top 5 Cited in 49 Fields 304 Special functions (33-XX) 252 Nonassociative rings and algebras (17-XX) 225 Quantum theory (81-XX) 170 Ordinary differential equations (34-XX) 118 Associative rings and algebras (16-XX) 118 Dynamical systems and ergodic theory (37-XX) 111 Difference and functional equations (39-XX) 104 Combinatorics (05-XX) 89 Algebraic geometry (14-XX) 77 Group theory and generalizations (20-XX) 54 Functional analysis (46-XX) 48 Statistical mechanics, structure of matter (82-XX) 45 Probability theory and stochastic processes (60-XX) 44 Global analysis, analysis on manifolds (58-XX) 40 Partial differential equations (35-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 29 Topological groups, Lie groups (22-XX) 26 Several complex variables and analytic spaces (32-XX) 23 Differential geometry (53-XX) 20 Number theory (11-XX) 17 Functions of a complex variable (30-XX) 16 Operator theory (47-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Abstract harmonic analysis (43-XX) 14 Relativity and gravitational theory (83-XX) 13 Manifolds and cell complexes (57-XX) 12 Approximations and expansions (41-XX) 11 Field theory and polynomials (12-XX) 10 Commutative algebra (13-XX) 10 Numerical analysis (65-XX) 6 Category theory; homological algebra (18-XX) 6 Real functions (26-XX) 6 Convex and discrete geometry (52-XX) 6 Statistics (62-XX) 6 Mechanics of particles and systems (70-XX) 5 Integral transforms, operational calculus (44-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 History and biography (01-XX) 3 \(K\)-theory (19-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) Citations by Year