Periodic and rapid decay rank two self-adjoint commuting differential operators
classification
🧮 math-ph
math.MP
keywords
operatorsrankcommutingdecaydifferentialrapidself-adjointcoefficients
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Self-adjoint rank two commuting ordinary differential operators are studied in this paper. Such operators with trigonometric, elliptic and rapid decay coefficients corresponding to hyperelliptic spectral curves are constructed. Some problems related to the Lame operator and rank two solutions of soliton equations are discussed.
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