Hartogs domain

From Encyclopedia of Mathematics
Revision as of 17:13, 7 February 2011 by (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

semi-circular domain, with symmetry plane

A domain in the space of complex variables which, for each point , contains the circle

Named after F. Hartogs. A Hartogs domain is called complete if for each point it contains the disc

A Hartogs domain with symmetry plane can conveniently be represented by a Hartogs diagram, viz., by the image of the Hartogs domain under the mapping .


[1] V.S. Vladimirov, "Methods of the theory of functions of several complex variables" , M.I.T. (1966) (Translated from Russian)
[2] S. Bochner, W.T. Martin, "Several complex variables" , Princeton Univ. Press (1948)



[a1] H. Behnke, P. Thullen, "Theorie der Funktionen meherer komplexer Veränderlichen" , Springer (1970) (Elraged & Revised Edition. Original: 1934)
How to Cite This Entry:
Hartogs domain. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by E.M. Chirka (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article