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2014, Second edition., Encyclopedia of mathematics and its applications, ISBN 1107071895, Volume 155, xvii, 420
Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation. It... 
Functions of several real variables | Orthogonal polynomials
Book
2001, Encyclopedia of mathematics and its applications, ISBN 0521800439, Volume 81., xv, 390
This is the first modern book on orthogonal polynomials of several variables, which are interesting both as objects of study and as tools used in multivariate... 
Functions of several real variables | Orthogonal polynomials
Book
Symmetry, ISSN 2073-8994, 2016, Volume 8, Issue 10, pp. 108 - 108
Harmonic polynomials of type A are polynomials annihilated by the Dunkl Laplacian associated to the symmetric group acting as a reflection group on R-N. The... 
Harmonic polynomi | Symmetric group | Dunkl operators | symmetric group | MULTIDISCIPLINARY SCIENCES | harmonic polynomials | Harmonics | Operators | Computation | Gaussian | Polynomials | Reflection | Symmetry | Mathematics - Classical Analysis and ODEs
Journal Article
SYMMETRY-BASEL, ISSN 2073-8994, 04/2019, Volume 11, Issue 4, p. 503
For each partition of N, there are irreducible modules of the symmetric groups and of the corresponding Hecke algebra whose bases consist of the reverse... 
singular values | Hecke algebra | nonsymmetric Jack and Macdonald polynomials | Young tableaux | MULTIDISCIPLINARY SCIENCES
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 2018, Volume 14
There is a space of vector-valued nonsymmetric Jack polynomials associated with any irreducible representation of a symmetric group. Singular polynomials for... 
Standard modules | Young tableaux | Nonsymmetric jack polynomials | PHYSICS, MATHEMATICAL | nonsymmetric Jack polynomials | standard modules | Polynomials | Mathematics - Representation Theory
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 03/2016, Volume 12
  For each irreducible module of the symmetric group on [...] objects there is a set of parametrized nonsymmetric Jack polynomials in [...] variables taking... 
Fourier-stieltjes coefficients | Matrix-valued measure | Nonsymmetric Jack polynomials | Symmetric group modules
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 05/2017, Volume 50, Issue 24, p. 245201
The Hamiltonian of the quantum Calogero-Sutherland model of N identical particles on the circle with 1/r(2) interactions has eigenfunctions consisting of Jack... 
representations of the symmetric group | generalized Jack polynomials | Calogero-Sutherland model on torus | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL
Journal Article
Symmetry, ISSN 2073-8994, 10/2018, Volume 10, Issue 11, p. 541
Journal Article
2014, 2nd ed., Encyclopedia of Mathematics and its Applications, ISBN 9781107786134, Volume no. 155
Web Resource
2014, 2nd ed., Encyclopedia of Mathematics and its Applications, ISBN 9781107786134, Volume no. 155
Web Resource
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 2013, Volume 9, p. 043
  This is a sequel to [SIGMA 9 (2013), 007, 23 pages], in which there is a construction of a 2×2 positive-definite matrix function K(x) on R2. The entries of... 
Matrix gaussian weight function | matrix Gaussian weight function
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 04/2014, Volume 10
  The space of polynomials in two real variables with values in a 2-dimensional irreducible module of a dihedral group is studied as a standard module for... 
Standard module | Gaussian weight | Mathematics - Classical Analysis and ODEs
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 2013, Volume 9, p. 007
  The structure of orthogonal polynomials on [...] with the weight function [...] is based on the Dunkl operators of type [...]. This refers to the full... 
Harmonic polynomials | Matrix Gaussian weight function | matrix Gaussian weight function | harmonic polynomials
Journal Article
2014, Second edition., Encyclopedia of mathematics and its applications, ISBN 9781107071896, Volume 155
Web Resource
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 06/2017, Volume 13
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2012, Volume 45, Issue 9, p. 95305
Journal Article
RANDOM MATRICES-THEORY AND APPLICATIONS, ISSN 2010-3263, 10/2015, Volume 4, Issue 4
Two-qubit X-matrices have been the subject of considerable recent attention, as they lend themselves more readily to analytical investigations than two-qubit... 
2 x 2 quantum systems | Peres-Horodecki conditions | separability probabilities | entanglement probability distribution | Hilbert-Schmidt measure | induced measure | STATISTICS & PROBABILITY | X-states | positive partial transpose | PHYSICS, MATHEMATICAL | continuous Dyson index
Journal Article
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