Commuting differential operators of rank two

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3 Citations (Scopus)


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
Issue number2
Publication statusPublished - Jun 17 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


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