A note on certain functional determinants Research Papers

Received: 06 June 1990 Accepted: 05 November 1991 DOI :
10.1007/BF01834202

Cite this article as: Šimša, J. Aeq. Math. (1992) 44: 35. doi:10.1007/BF01834202
Summary 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

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Authors and Affiliations 1. Mathematical Institute Czechoslovak Academy of Sciences Brno Czechoslovakia