Let D be a connected bounded domain in  S be its boundary which is closed, connected and smooth. Let  Then boundary values of on S are studied. The function   is defined in a new way. Necessary and sufficient conditions are given for  to be boundary value of an analytic function in D. The Sokhotski-Plemelj formulas are derived for

boundary values of analytic functions.

Received: March 20, 2023; Accepted: May 11, 2023; Published: May 15, 2023

How to cite this article: Alexander G. Ramm, Boundary values of analytic functions, Far East Journal of Applied Mathematics 116(3) (2023), 215-227. http://dx.doi.org/10.17654/0972096023011

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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