Alexander M. Kytmanov, Simona G. Myslivets, “On the families of complex lines which are sufficient for holomorphic continuation of functions given on the boundary of the domain”, J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 2,Pages <nobr>213

This article is cited in 2 papers

On the families of complex lines which are sufficient for holomorphic continuation of functions given on the boundary of the domain

Alexander M. Kytmanov^a, Simona G. Myslivets^b

^a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
^b Institute of Basic Training, Siberian Federal University, Krasnoyarsk, Russia

Abstract: The paper is devoted to some results connecting with one-dimensional property of holomorphic continuations of functions given on the boundary of bounded domain in $\mathbb C^n$.

Keywords: holomorphic continuations, along complex lines, generic manifold, Bochner–Martinelli integral.

UDC: 517.55

Received: 01.10.2011
Received in revised form: 15.10.2011
Accepted: 15.12.2011