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Functional Analysis

By A.S. Fokas,I.M. Gelfand

Irene Dorfman died in Moscow on April 6, 1994, presently after seeing her appealing booklet on Dirac buildings [I]. the current quantity features a number of papers aiming at celebrating her extraordinary contributions to arithmetic. Her most vital discoveries are linked to the algebraic constructions coming up within the research of integrable equations. many of the articles contained during this quantity are within the similar spirit. Irene, operating as a pupil of Israel Gel'fand made the elemental dis covery that integrability is heavily on the topic of the life of bi-Hamiltonian constructions [2], [3]. those constructions have been found independently, and al such a lot concurrently, through Magri [4] (see additionally [5]). a number of papers during this ebook are in line with this outstanding discovery. specifically Fokas, Olver, Rosenau build huge periods on integrable equations utilizing bi-Hamiltonian struc tures, Fordy, Harris derive such buildings by means of contemplating the restrict of isospectral flows to desk bound manifolds and Fuchssteiner discusses related buildings in a slightly summary setting.

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Algebraic Aspects of Integrable Equations Honoring the Memory of Irene Dorfman (Progress in Nonlinear Differential Equations and Their Applications) by A.S. Fokas,I.M. Gelfand


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