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Nonsingular finite-zone two-dimensional Schrödinger operators and Prymians of real curves

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Publication:1109954
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DOI10.1007/BF01077732zbMath0656.35025MaRDI QIDQ1109954

Sergey M. Natanzon

Publication date: 1988

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

Schrödinger operatorscompact Riemann surfacePrym varietyantiholomorphic involutionsnonsingularfinite-zone two-dimensional


Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10)


Related Items (4)

Fast-decaying potentials on the finite-gap background and the \(\overline {\partial}\)-problem on the Riemann surfaces ⋮ Differential equations on the Prym theta function. A realness criterion for two-dimensional finite-zone potential Schrödinger operators ⋮ Two-dimensional periodic Schrödinger operators integrable at an energy eigenlevel ⋮ Prymians of real curves and their applications to the effectivization of Schrödinger operators




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