TY  - JOUR
A1  - Shlapunov, Alexander
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Golusin-Krylov formulas in complex analysis
JF  - Complex variables and elliptic equations
N2  - This is a brief survey of a constructive technique of analytic continuation related to an explicit integral formula of Golusin and Krylov (1933). It goes far beyond complex analysis and applies to the Cauchy problem for elliptic partial differential equations as well. As started in the classical papers, the technique is elaborated in generalised Hardy spaces also called Hardy-Smirnov spaces.
KW  - Analytic continuation
KW  - inegral formulas
KW  - Cauchy problem
Y1  - 2017
U6  - https://doi.org/10.1080/17476933.2017.1395872
SN  - 1747-6933
SN  - 1747-6941
VL  - 63
IS  - 7-8
SP  - 1142
EP  - 1167
PB  - Routledge
CY  - Abingdon
ER  -