[图书][B] Orthogonal polynomials of several variables
CF Dunkl, Y Xu - 2014 - books.google.com
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 covers the general theory …
theory in elegant form and with modern concepts and notation. It covers the general theory …
Fractional-order chaotic self-synchronization-based tracking faults diagnosis of ball bearing systems
This study proposes a detection method that incorporates the extension theory with
fractional-order chaotic self-synchronization of dynamic errors in order to analyze ball …
fractional-order chaotic self-synchronization of dynamic errors in order to analyze ball …
[HTML][HTML] Multivariate orthogonal polynomials and integrable systems
G Ariznabarreta, M Mañas - Advances in Mathematics, 2016 - Elsevier
Multivariate orthogonal polynomials in D real dimensions are considered from the
perspective of the Cholesky factorization of a moment matrix. The approach allows for the …
perspective of the Cholesky factorization of a moment matrix. The approach allows for the …
Cubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groups
RV Moody, J Patera - Advances in Applied Mathematics, 2011 - Elsevier
The paper contains a generalization of known properties of Chebyshev polynomials of the
second kind in one variable to polynomials of n variables based on the root lattices of …
second kind in one variable to polynomials of n variables based on the root lattices of …
Gaussian cubature arising from hybrid characters of simple Lie groups
RV Moody, L Motlochova, J Patera - Journal of Fourier Analysis and …, 2014 - Springer
Lie groups with two different root lengths allow two 'mixed sign'homomorphisms on their
corresponding Weyl groups, which in turn give rise to two families of hybrid Weyl group orbit …
corresponding Weyl groups, which in turn give rise to two families of hybrid Weyl group orbit …
Cubature formulas of multivariate polynomials arising from symmetric orbit functions
J Hrivnák, L Motlochová, J Patera - Symmetry, 2016 - mdpi.com
The paper develops applications of symmetric orbit functions, known from irreducible
representations of simple Lie groups, in numerical analysis. It is shown that these functions …
representations of simple Lie groups, in numerical analysis. It is shown that these functions …
On E–discretization of tori of compact simple Lie groups. II
J Hrivnák, M Juránek - Journal of Mathematical Physics, 2017 - pubs.aip.org
Ten types of discrete Fourier transforms of Weyl orbit functions are developed. Generalizing
one-dimensional cosine, sine, and exponential, each type of the Weyl orbit function …
one-dimensional cosine, sine, and exponential, each type of the Weyl orbit function …
Dual-root lattice discretization of Weyl orbit functions
J Hrivnák, L Motlochová - Journal of Fourier Analysis and Applications, 2019 - Springer
Four types of discrete transforms of Weyl orbit functions on finite point sets are developed.
The point sets are formed by intersections of dual-root lattices with fundamental domains of …
The point sets are formed by intersections of dual-root lattices with fundamental domains of …
Generalized dual-root lattice transforms of affine Weyl groups
T Czyżycki, J Hrivnák, L Motlochová - Symmetry, 2020 - mdpi.com
Discrete transforms of Weyl orbit functions on finite fragments of shifted dual root lattices are
established. The congruence classes of the dual weight lattices intersected with the …
established. The congruence classes of the dual weight lattices intersected with the …
On electron propagation in triangular graphene quantum dots
J Hrivnák, L Motlochová - Journal of Physics A: Mathematical and …, 2022 - iopscience.iop.org
Tight-binding models of electron propagation in single-layer triangular graphene quantum
dots with armchair and zigzag edges are developed. The electron hoppings to the nearest …
dots with armchair and zigzag edges are developed. The electron hoppings to the nearest …