# Lukyanova E. A.

### Pseudoanalyticity of continuous functions with the ?-preservation of angles

Ukr. Mat. Zh. - 1993. - 45, № 8. - pp. 1051–1057

The following theorem is proved: Every continuous function satisfying the condition $K'_{\sigma}$ is pseudo-analytic. The condition $K'_{\sigma}$ is a generalization of the Men'shov condition, well known in the theory of analytic functions.

### On pseudoanalyticity of continuous functions with constant $σ$-extension

Ukr. Mat. Zh. - 1993. - 45, № 4. - pp. 459–465

The theorem on pseudoanalyticity of continuous functions with constant $σ$-extension is proved; this is an analog of the well known results due to Bohr, Rademacher, Men'shov, and Trokhimchuk concerning the analyticity of functions with constant extension.

### On the structure of sets of $ σ$-monogeneity for continuous functions

Ukr. Mat. Zh. - 1993. - 45, № 2. - pp. 226–232

The notion of the sets of σ-monogeneity for continuous functions is introduced which makes it possible to study pseudo-analytic properties of these functions. The theorem on the structure of these sets is proved.