One-Point Commuting Difference Operators of Rank One and Their Relation with Finite-Gap Schrödinger Operators

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One-Point Commuting Difference Operators of Rank One and Their Relation with Finite-Gap Schrödinger Operators. / Mauleshova, G. S.; Mironov, A. E.

In: Doklady Mathematics, Vol. 97, No. 1, 01.01.2018, p. 62-64.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{6b9be53070184a8ba5082eb5c8a9aa19,

title = "One-Point Commuting Difference Operators of Rank One and Their Relation with Finite-Gap Schr{\"o}dinger Operators",

abstract = "One-point commuting difference operators of rank one in the case of hyperelliptic spectral curves are studied. A relationship between such operators and one-dimensional finite-gap Schr{\"o}dinger operators is investigated. In particular, a discretization of finite-gap Lam{\'e} operators is obtained.",

author = "Mauleshova, {G. S.} and Mironov, {A. E.}",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = jan,

day = "1",

doi = "10.1134/S1064562418010209",

language = "English",

volume = "97",

pages = "62--64",

journal = "Doklady Mathematics",

issn = "1064-5624",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "1",

}

RIS

TY - JOUR

T1 - One-Point Commuting Difference Operators of Rank One and Their Relation with Finite-Gap Schrödinger Operators

AU - Mauleshova, G. S.

AU - Mironov, A. E.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - One-point commuting difference operators of rank one in the case of hyperelliptic spectral curves are studied. A relationship between such operators and one-dimensional finite-gap Schrödinger operators is investigated. In particular, a discretization of finite-gap Lamé operators is obtained.

AB - One-point commuting difference operators of rank one in the case of hyperelliptic spectral curves are studied. A relationship between such operators and one-dimensional finite-gap Schrödinger operators is investigated. In particular, a discretization of finite-gap Lamé operators is obtained.

UR - http://www.scopus.com/inward/record.url?scp=85044333725&partnerID=8YFLogxK

U2 - 10.1134/S1064562418010209

DO - 10.1134/S1064562418010209

M3 - Article

AN - SCOPUS:85044333725

VL - 97

SP - 62

EP - 64

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 1

ER -

ID: 12176127