On the representation by bivariate ridge functions / Про зображення гребеневими функцiями двох змiнних / Укр. мат. журн., 2021, т. 73, No 5
Date
2021
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Abstract
Description
We consider the problem of representation of a bivariate function by sums of ridge functions. It is shown that if a function of a certain smoothness class is represented by a sum of finitely many arbitrarily behaved ridge functions, then it can also be represented by a sum of ridge functions of the same smoothness class. As an example, this result is applied to a homogeneous constant coefficient partial differential equation.
Keywords
Bivariate function, Theorem, Polynomial term