On analytic continuation from the "edge of the wedge"
Andrei Aleksandrovich Gonchar · Annales Academiae Scientiarum Fennicae Series A I Mathematica · 1985
The "edge or the wedge" theorem was first proved by N. N. Bogoliubov in 1956 in connection wilh applications to quantum field theory (see [7]).During the next years many various proofs, generalizalions and refinements of Bogoliubov's theorem were obtained; the problems and results concerning this theorem consti- tuted an important chapter in the theory of analytic functions of several complex variables and its applications (see [-9]; an extensive bibliography can be found in V. S. Vladimirov's recent survey [9]).In this note we present some 'oone-sided" versions of the "edge of the wedge" theorem, which are closely related with Malgrange-Zerner's theorem (see [3]).Our approach is based on the classical ideas and results of R. Nevanlinna and T. Carleman, connected with the notion of the harmonic measure.