Research Papers

aequationes mathematicae

, Volume 44, Issue 1, pp 35-41

First online:

A note on certain functional determinants

  • Jaromír ŠimšaAffiliated withMathematical Institute, Czechoslovak Academy of Sciences

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We consider the problem when a scalar function ofn variables can be represented in the form of a determinant det(f i (x j )), the so-called Casorati determinant off 1,f 2,⋯,f n . The result is applied to the solution of some functional equations with unknown functionsH of two variables that involve determinants det(H(x i ,x j )).

AMS (1991) subject classification

Primary 39B40, 26B40