Inverse spectral problem for Jacobi operators and Miura transformation
نویسندگان
چکیده
Abstract We study a Miura-type transformation between Kac - van Moerbeke (Volterra) and Toda lattices in terms of the inverse spectral problem for Jacobi operators, which appear Lax representation such systems. This method, amounts to reconstruction operator from moments its Weyl function, can be used solving initial-boundary value both It is shown that Miura easily described these moments. Using this description we establish bijection Volterra class characterized by positivity operators their representation. Also, discuss an implication latter result theory.
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ژورنال
عنوان ژورنال: Concrete Operators
سال: 2021
ISSN: ['2299-3282']
DOI: https://doi.org/10.1515/conop-2020-0116