[图书][B] Encyclopedia of nonlinear science
A Scott - 2006 - taylorfrancis.com
In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …
mathematical background for nonlinear science, as well as its applications to key problems …
[HTML][HTML] A Bochner type characterization theorem for exceptional orthogonal polynomials
MÁ García-Ferrero, D Gómez-Ullate… - Journal of Mathematical …, 2019 - Elsevier
It was recently conjectured that every system of exceptional orthogonal polynomials is
related to a classical orthogonal polynomial system by a sequence of Darboux …
related to a classical orthogonal polynomial system by a sequence of Darboux …
The bispectral problem: an overview
FA Grunbaum - Special functions 2000: current perspective and future …, 2001 - Springer
THE BISPECTRAL PROBLEM: AN OVERVIEW Department of Mathematics University of
California Berkeley, CA 94720 USA Abstract. I descri Page 1 THE BISPECTRAL PROBLEM: AN …
California Berkeley, CA 94720 USA Abstract. I descri Page 1 THE BISPECTRAL PROBLEM: AN …
Deformed quantum Calogero-Moser problems and Lie superalgebras
AN Sergeev, AP Veselov - Communications in mathematical physics, 2004 - Springer
Abstract The deformed quantum Calogero-Moser-Sutherland problems related to the root
systems of the contragredient Lie superalgebras are introduced. The construction is based …
systems of the contragredient Lie superalgebras are introduced. The construction is based …
New integrable generalizations of Calogero-Moser quantum problem
OA Chalykh, M Feigin, AP Veselov - Journal of Mathematical …, 1998 - eprints.gla.ac.uk
New integrable generalizations of Calogero-Moser quantum problem - Enlighten Publications
Skip to main content Accessibility information Site navigation Study Research About us Student …
Skip to main content Accessibility information Site navigation Study Research About us Student …
Deformations of the root systems and new solutions to generalised WDVV equations
AP Veselov - Physics Letters A, 1999 - Elsevier
A special class of solutions to the generalised WDVV equations related to a finite set of
covectors is investigated. Some geometric conditions on such a set which guarantee that the …
covectors is investigated. Some geometric conditions on such a set which guarantee that the …
Quasi-invariants of Coxeter groups and m-harmonic polynomials
M Feigin, AP Veselov - International Mathematics Research …, 2002 - academic.oup.com
The space of m-harmonic polynomials related to a Coxeter group G and a multiplicity
function m on its root system is defined as the joint kernel of the properly gauged invariant …
function m on its root system is defined as the joint kernel of the properly gauged invariant …
Quasi-invariants of complex reflection groups
Y Berest, O Chalykh - Compositio Mathematica, 2011 - cambridge.org
We introduce quasi-invariant polynomials for an arbitrary finite complex reflection group W.
Unlike in the Coxeter case, the space of quasi-invariants of a given multiplicity is not, in …
Unlike in the Coxeter case, the space of quasi-invariants of a given multiplicity is not, in …
A Riemann–Hilbert method to algebro-geometric solutions of the Korteweg–de Vries equation
P Zhao, E Fan - Physica D: Nonlinear Phenomena, 2023 - Elsevier
A proof without using Dubrovin's equations is given for the Its–Matveev formula for algebro-
geometric solutions of the Korteweg–de Vries (KdV) equation. It is shown that the Baker …
geometric solutions of the Korteweg–de Vries (KdV) equation. It is shown that the Baker …
BC∞ Calogero–Moser operator and super Jacobi polynomials
AN Sergeev, AP Veselov - Advances in Mathematics, 2009 - Elsevier
An infinite-dimensional version of Calogero–Moser operator of BC-type and the
corresponding Jacobi symmetric functions are introduced and studied, including the …
corresponding Jacobi symmetric functions are introduced and studied, including the …