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Regular version of the site

Article

Constractive Description of Function Classes on Surfaces in \mathbb{R}_3 and \mathbb{R}_4

Problemy Analiza. 2019. Vol. 8(26). No. 3. P. 16-23.

Functional classes on a curve in a plane (a partial case of a spatial curve) can be described by the approximation speed by functions that are harmonic in three-dimensional neighbourhoods of the curve. No constructive description of functional classes on rather general surfaces in R 3 and R 4 has been presented in literature so far. The main result of the paper is Theorem 1.