Discretization of Baker–Akhiezer modules and commuting difference operators in several discrete variables

Transactions of the Moscow Mathematical Society ◽

10.1090/s0077-1554-2014-00219-3 ◽

2014 ◽

Vol 74 ◽

pp. 261-279

Author(s):

Andrey Mironov ◽

Atsushi Nakayashiki

Keyword(s):

Difference Operators ◽

Discrete Variables ◽

Commuting Difference Operators

Download Full-text

Positive One–Point Commuting Difference Operators∗†

Integrable Systems and Algebraic Geometry ◽

10.1017/9781108773287.017 ◽

2020 ◽

pp. 395-412

Keyword(s):

Difference Operators ◽

Commuting Difference Operators

Download Full-text

Commuting difference operators of rank two

Russian Mathematical Surveys ◽

10.1070/rm2015v070n03abeh004954 ◽

2015 ◽

Vol 70 (3) ◽

pp. 557-559 ◽

Author(s):

G S Mauleshova ◽

A E Mironov

Keyword(s):

Difference Operators ◽

Commuting Difference Operators

Download Full-text

The Dressing Chain and One-Point Commuting Difference Operators of Rank 1

Siberian Mathematical Journal ◽

10.1134/s0037446618050142 ◽

2018 ◽

Vol 59 (5) ◽

pp. 901-908

Author(s):

G. S. Mauleshova

Keyword(s):

Difference Operators ◽

Dressing Chain ◽

Commuting Difference Operators

Download Full-text

Commuting difference operators with elliptic coefficients from Baxter's vacuum vectors

Journal of Physics A General Physics ◽

10.1088/0305-4470/33/20/308 ◽

2000 ◽

Vol 33 (20) ◽

pp. 3825-3850 ◽

Author(s):

A Zabrodin

Keyword(s):

Difference Operators ◽

Commuting Difference Operators

Download Full-text

Construction of commuting difference operators for multiplicity free spaces

Selecta Mathematica ◽

10.1007/pl00001395 ◽

2000 ◽

Vol 6 (4) ◽

pp. 443-470 ◽

Author(s):

F. Knop

Keyword(s):

Difference Operators ◽

Free Spaces ◽

Multiplicity Free ◽

Commuting Difference Operators

Download Full-text

Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic bundles

Russian Mathematical Surveys ◽

10.1070/rm2003v058n03abeh000628 ◽

2003 ◽

Vol 58 (3) ◽

pp. 473-510 ◽

Author(s):

I M Krichever ◽

S P Novikov

Keyword(s):

Toda Lattice ◽

Difference Operators ◽

Holomorphic Bundles ◽

Commuting Difference Operators

Download Full-text

Commuting difference operators and the combinatorial Gale transform

Functional Analysis and Its Applications ◽

10.1007/s10688-015-0102-3 ◽

2015 ◽

Vol 49 (3) ◽

pp. 175-188 ◽

Author(s):

I. M. Krichever

Keyword(s):

Difference Operators ◽

Gale Transform ◽

Commuting Difference Operators

Download Full-text

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

Doklady Mathematics ◽

10.1134/s1064562418010209 ◽

2018 ◽

Vol 97 (1) ◽

pp. 62-64 ◽

Author(s):

G. S. Mauleshova ◽

A. E. Mironov

Keyword(s):

Schrödinger Operators ◽

Difference Operators ◽

Schrodinger Operators ◽

Rank One ◽

Commuting Difference Operators

Download Full-text

Holomorphic bundles and commuting difference operators. Two-point constructions

Russian Mathematical Surveys ◽

10.1070/rm2000v055n03abeh000302 ◽

2000 ◽

Vol 55 (3) ◽

pp. 586-588 ◽

Author(s):

I M Krichever ◽

S P Novikov

Keyword(s):

Difference Operators ◽

Holomorphic Bundles ◽

Commuting Difference Operators

Download Full-text

Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights

Advances in Mathematics ◽

10.1016/j.aim.2008.09.001 ◽

2009 ◽

Vol 220 (1) ◽

pp. 154-218 ◽

Author(s):

M. Bertola ◽

M.Y. Mo

Keyword(s):

Orthogonal Polynomials ◽

Difference Operators ◽

Asymptotics Of Orthogonal Polynomials ◽

Commuting Difference Operators

Download Full-text