http://hdl.handle.net/20.500.14346/2065 2026-04-22T14:57:38Z http://hdl.handle.net/20.500.14346/2066 On the representation by bivariate ridge functions / Про зображення гребеневими функцiями двох змiнних / Укр. мат. журн., 2021, т. 73, No 5 Asgarova, Aysel 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. 2021-01-01T00:00:00Z