aequationes mathematicae

, Volume 44, Issue 1, pp 35–41

A note on certain functional determinants


  • Jaromír Šimša
    • Mathematical InstituteCzechoslovak Academy of Sciences
Research Papers

DOI: 10.1007/BF01834202

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


We consider the problem when a scalar function ofn variables can be represented in the form of a determinant det(fi(xj)), the so-called Casorati determinant off1,f2,⋯,fn. The result is applied to the solution of some functional equations with unknown functionsH of two variables that involve determinants det(H(xi,xj)).

AMS (1991) subject classification

Primary 39B40, 26B40
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© Birkhäuser Verlag 1992