Journal of Siberian Federal University. Mathematics & Physics / One Method for Receiving an Analog of the Carleman Formula for A(z)-analytic Functions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Shoimkulov, Bakhodir A.; Zhabborov, Nasridin M.; Husenov, Behzod E.
Contact information
Shoimkulov, Bakhodir A. : The National University of Uzbekistan (Tashkent, Uzbekistan); ; Zhabborov, Nasridin M. : Tashkent State University of Economics (Tashkent, Uzbekistan); ; Husenov, Behzod E. : Bukhara State University (Bukhara, Uzbekistan);
Keywords
A(z)-analytic function; Hardy class; A(z)-lemniscate; quenching function; automorphism for A(z)-analytic functions
Abstract

The article investigates an analogue of the Carleman formula for functions of class H1 A. The analytic and geometric properties of A(z)-lemniscates and their automorphisms are studied. Using a quenching sequence and Kytmanov’s method, a Carleman-type integral formula is obtained for reconstructing an A(z)-analytic function from incomplete boundary data

Pages
844–856
EDN
YRTUPE
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/160129