Multidisciplinary Journal of Science and Technology

THE PROBLEM OF HOLOMORPHIC RECONSTRUCTION OF FUNCTIONS.

Elomonova Dildora

Faculty of Physics and Mathematics 3rd year student of the Mathematics-Education department.

Keywords: Cauchy’s integral formula, holomorphic, Hardy class, Lebesgue measure, A.M. Kitmanov, T. Karleman, G. Krylov, M. Lavrentiev, Green’s function, Dirichlet problem.

Abstract

In this article, we examine the problem of holomorphic reconstruction for a function given on a part of a domain using Cauchy’s integral formula, and we explore its application to various examples.

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