A Schlichtness Theorem for Envelopes of Holomorphy

Some Results Related to Group Actions in Several Complex Variables

In this talk, we’ll present some recent results related to group actions in several complex variables. We’ll not aim at giving a complete survey about the topic but giving some our own results and related ones. We’ll divide the results into two cases: compact and noncompact transformation groups. We emphasize some essential differences between the two cases. In the compact case, we’ll mention s...

On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle

Green envelopes classification: the comparative analysis of efficient factors on the thermal and energy performance of green envelopes

This paper classifies green envelopes as green roofs and green walls according to effective factors, which were derived from literature to compare the green envelopes’ thermal and energy performance in a more effective way. For this purpose, an extensive literature review was carried out by searching keywords in databases and studying related journal papers and articles. The research meth...

Envelopes of Holomorphy and Extension of Functions of Bounded Type

In this article we characterize the envelope of holomorphy for the algebra of bounded type holomorphic functions on Riemann domains over a Banach space in terms of the spectrum of the algebra. We prove that evaluations at points of the envelope are always continuous but we show an example of a balanced open subset of c0 where the extensions to the envelope are not necessarily of bounded type, a...

The Envelope of Holomorphy of Riemann Domains over a Countable Product of Complex Planes

This paper deals with the problem of constructing envelopes of holomorphy for Riemann domains over a locally convex space. When this locally convex space is a countable product of complex planes the existence of the envelope of holomorphy is proved and the domains of holomorphy are characterized. For the Riemann domains over the cartesian product CN of a countable number of complex planes, the ...