Multidimensional Baker-Akhiezer functions and Huygens' principle

From MaRDI portal
Publication:1961069

DOI10.1007/PL00005521zbMath0972.35110arXivmath-ph/9903019OpenAlexW2040288719MaRDI QIDQ1961069

Oleg A. Chalykh, Alexander P. Veselov, Misha V. Feigin

Publication date: 30 October 2001

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9903019




Related Items (36)

Nonlinear supersymmetry in the quantum Calogero modelComplex exceptional orthogonal polynomials and quasi-invarianceOn generalizations of the Calogero–Moser–Sutherland quantum problem and WDVV equationsOn the logarithmic solutions of the WDVV equationsOrthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functionsNew applications of quantum algebraically integrable systems in fluid dynamicsA Bochner type characterization theorem for exceptional orthogonal polynomialsDeformed Calogero-Moser operators and ideals of rational Cherednik algebrasA Riemann-Hilbert method to algebro-geometric solutions of the Korteweg-de Vries equationBispectrality of \(AG_2\) Calogero-Moser-Sutherland systemGeneralized Calogero-Moser systems from rational Cherednik algebrasHigher-order heat equation and the Gelfand-Dickey hierarchyA noncommutative version of the bispectral problem.Integrable dynamics of charges related to the bilinear hypergeometric equationSuperanalogs of the Calogero Operators and Jack PolynomialsDeformations of the root systems and new solutions to generalised WDVV equationsThe Lagnese-Stellmacher potentials revisitedNon-Laplacian growth: exact resultsBaker-Akhiezer functions and generalised Macdonald-Mehta integralsQuasi-invariants of complex reflection groupsA class of Baker-Akhiezer arrangementsHeat kernel coefficients for two-dimensional Schrödinger operatorsLie superalgebras and Calogero-Moser-Sutherland systemsSingular operators satisfying an intertwining relationOn Darboux-Treibich-Verdier potentialsLocus configurations and \(\lor{}\)-systems\(^{\star{}}\)An exactly solvable Calogero model for a non-integrally laced group\(BC_\infty \) Calogero-Moser operator and super Jacobi polynomialsQuasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence2D Locus Configurations and the Trigonometric Calogero–Moser SystemIntertwining operator for AG2 Calogero–Moser–Sutherland systemHarmonic oscillator and Darboux transformations in many dimensionsOn integrability and exact solvability in deterministic and stochastic Laplacian growthThe spectral matrices of Toda solitons and the fundamental solution of some discrete heat equations.Analysis on flat symmetric spacesMacdonald polynomials and algebraic integrability




This page was built for publication: Multidimensional Baker-Akhiezer functions and Huygens' principle