TY  - INPR
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - A fixed point formula in one complex variable
N2  - We show a Lefschetz fixed point formula for holomorphic functions in a bounded domain D with smooth boundary in the complex plane. To introduce the Lefschetz number for a holomorphic map of D, we make use of the Bergman kernal of this domain. The Lefschetz number is proved to be the sum of usual contributions of fixed points of the map in D and contributions of boundary fixed points, these latter being different for attracting and repulsing fixed points.
T3  - Preprint - (2003) 01 
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2443
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-26495
ER  -