On the Uniqueness of Representation by Linear Superpositions
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Let Q be a set such that every function on Q can be represented by linear superpositions. This representation is, in general, not unique. However, for some sets, it may be unique provided that the initial values of the representing functions are prescribed at some point of Q. We study the properties of these sets.
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- 3.S. Ya. Khavinson, “Best approximation by linear superpositions (approximate nomography),” Transl. Math. Monogr., Amer. Math. Soc., Providence, RI, 159 (1997).Google Scholar