Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies
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Publication:934997
DOI10.1007/s11040-008-9038-7zbMath1163.37022arXiv0711.2248OpenAlexW3104562238MaRDI QIDQ934997
Publication date: 31 July 2008
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.2248
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)
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Drinfeld-Sokolov hierarchies, tau functions, and generalized Schur polynomials ⋮ Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results ⋮ Geometric interpretation of Zhou's explicit formula for the Witten-Kontsevich tau function ⋮ The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg-de Vries hierarchy ⋮ Hyponormality and subnormality of block Toeplitz operators ⋮ Tau functions as Widom constants ⋮ Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies
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