After the release of the first edition, a number of works appeared that continue and develop the issues raised in this book. Some of these works are listed in the supplementary literature to Chapter III. A number of corrections and some additions have been made to the second edition, for example § 7 of Chapter I, which summarizes the idea of ​ ​ considering interpolation problems as moment problems for analytical functions. It can also be noted that in recent years this book has been translated and published in the GDR, China, Czechoslovakia, Romania and other countries.