A note on certain functional determinants |
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Authors: | Jaromír Šimša |
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Institution: | (1) Mathematical Institute, Czechoslovak Academy of Sciences, Mendelovo nám. 1, S-662 82 Brno, Czechoslovakia |
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Abstract: | 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
)). |
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Keywords: | Primary 39B40 26B40 |
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