A flower structure of backward flow invariant domains for semigroups

Mark Elin; David Shoikhet; Lawrence Zalcman

doi:10.1016/j.crma.2007.11.024

A flower structure of backward flow invariant domains for semigroups

Mark Elin
, David Shoikhet
, Lawrence Zalcman

Department of Mathematics

ORT Braude - College of Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this Note, we study conditions which ensure the existence of backward flow invariant domains for semigroups of holomorphic self-mappings of a simply connected domain D. More precisely, the problem is the following. Given a one-parameter semigroup S on D, find a simply connected subset Ω ⊂ D such that each element of S is an automorphism of Ω, in other words, such that S forms a one-parameter group on Ω. To cite this article: M. Elin et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008).

Original language	English
Pages (from-to)	293-296
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	346
Issue number	5-6
DOIs	https://doi.org/10.1016/j.crma.2007.11.024
State	Published - Mar 2008

Bibliographical note

Funding Information:
E-mail addresses: [email protected] (M. Elin), [email protected] (D. Shoikhet), [email protected] (L. Zalcman). 1 Research supported by The German–Israeli Foundation for Scientific Research and Development, G.I.F. Grants No. G-643-117.6/1999 and I-809-234.6/2003.

Funding

E-mail addresses: [email protected] (M. Elin), [email protected] (D. Shoikhet), [email protected] (L. Zalcman). 1 Research supported by The German–Israeli Foundation for Scientific Research and Development, G.I.F. Grants No. G-643-117.6/1999 and I-809-234.6/2003.

Funders
G.I.F.
German-Israeli Foundation for Scientific Research and Development

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10.1016/j.crma.2007.11.024

https://www.sciencedirect.com/science/article/pii/S1631073X07005110/pdf

Cite this

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title = "A flower structure of backward flow invariant domains for semigroups",

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author = "Mark Elin and David Shoikhet and Lawrence Zalcman",

note = "Funding Information: E-mail addresses: [email protected] (M. Elin), [email protected] (D. Shoikhet), [email protected] (L. Zalcman). 1 Research supported by The German–Israeli Foundation for Scientific Research and Development, G.I.F. Grants No. G-643-117.6/1999 and I-809-234.6/2003.",

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A flower structure of backward flow invariant domains for semigroups

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