Тип публикации: статья из журнала
Год издания: 2008
Идентификатор DOI: 10.1134/S0001434608030231
Ключевые слова: holomorphic extension property, family of complex lines, Hartogs' theorem, Bochner-Martinelli integral, Sard's theorem, Cauchy-Riemann condition
Аннотация: It is shown that the set E-Gamma of all complex lines passing through a germ of a generating manifold F is sufficient for any continuous function f defined on the boundary of a bounded domain D subset of C-n with connected smooth boundary and having the holomorphic one-dimensional extension property along all lines from E-Gamma to Показать полностьюadmit a holomorphic extension to D as a function of many complex variables.
Журнал: MATHEMATICAL NOTES
Выпуск журнала: Vol. 83, Is. 3-4
Номера страниц: 500-505
ISSN журнала: 00014346
Место издания: NEW YORK
Издатель: CONSULTANTS BUREAU/SPRINGER