@misc{ShlapunovTarkhanov2017, author = {Shlapunov, Alexander and Tarkhanov, Nikolai Nikolaevich}, title = {Golusin-Krylov formulas in complex analysis}, series = {Complex variables and elliptic equations}, volume = {63}, journal = {Complex variables and elliptic equations}, number = {7-8}, publisher = {Routledge}, address = {Abingdon}, issn = {1747-6933}, doi = {10.1080/17476933.2017.1395872}, pages = {1142 -- 1167}, year = {2017}, abstract = {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.}, language = {en} }