Mathematical InstituteCzechoslovak Academy of Sciences
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)).