Commuting differential operators of rank two

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Commuting differential operators with symbols ∂21 + ∂22, ∂2122 are related to the functional equation V1(x1)U+(x1 + x2) + V1(x1)U-(x1 - x2) + V2(x2)U+(x1 + x2) - V2(x2)U-(x1 - x2) = F-(x1 + x2) + F-(x1 - x2) + G1(x1) + G2(x2). We discuss several properties, such as a meromorphic extension of solutions and periodicity, of this functional equation and commuting differential operators.

Original languageEnglish
Pages (from-to)243-255
Number of pages13
JournalIndagationes Mathematicae
Volume7
Issue number2
DOIs
Publication statusPublished - Jun 17 1996
Externally publishedYes

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Functional equation
Differential operator
Meromorphic
Periodicity

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Commuting differential operators of rank two. / Ochiai, Hiroyuki.

In: Indagationes Mathematicae, Vol. 7, No. 2, 17.06.1996, p. 243-255.

Research output: Contribution to journalArticle

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