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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1972 Volume 89(131), Number 3(11), Pages 419–460 (Mi sm3242)

This article is cited in 2 papers

Algebraic-differential transformations of linear differential operators of arbitrary order and their spectral properties applicable to the inverse problem

Z. I. Leibenzon


Abstract: Results obtained by the author in RZhMat., 1972, 6B684 are generalized to the case of a countable set of indices $\mathfrak N$. This allows the author to find necessary and sufficient conditions for the existence of a system of boundary-value problems with simple spectrum, having a given set of eigenvalues and weight numbers.
Bibliography: 10 titles.

UDC: 517.43

MSC: Primary 34B25, 15A15; Secondary 15A57

Received: 12.01.1972


 English version:
Mathematics of the USSR-Sbornik, 1972, 18:3, 425–471

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© Steklov Math. Inst. of RAS, 2026