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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 2, Pages 45–61
DOI: https://doi.org/10.4213/faa190 (Mi faa190) 		 
Isoenergy Spectral Problem for Multidimensional Difference Operators

A. A. Oblomkovab

a Independent University of Moscow
b M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/faa190
Abstract: In this paper, the direct and inverse isoenergy spectral problems are solved for a class of multidimensional periodic difference operators. It is proved that the inverse spectral problem is solvable in terms of theta functions of curves added to the spectral variety under compactification, and multidimensional analogs of the Veselov–Novikov relations are found.
Keywords: multidimensional scattering problem, Bloch function, spectral data.
Received: 27.11.2000
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 2, Pages 120–133
DOI: https://doi.org/10.1023/A:1015618506932
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. A. Oblomkov, “Isoenergy Spectral Problem for Multidimensional Difference Operators”, Funktsional. Anal. i Prilozhen., 36:2 (2002), 45–61; Funct. Anal. Appl., 36:2 (2002), 120–133
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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