Template-Type: ReDIF-Paper 1.0
Author-Name: Bart, H.
Author-Name-Last: Bart
Author-Name-First: Harm
Author-Name: Ehrhardt, T.
Author-Name-Last: Ehrhardt
Author-Name-First: Torsten
Author-Name: Silbermann, B.
Author-Name-Last: Silbermann
Author-Name-First: Bernd
Title: Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse
Abstract: A logarithmic residue is a contour integral of a logarithmic derivative (left or right) of an analytic Banach algebra valued function. For functions possessing a meromorphic inverse with simple poles only, the logarithmic residues are identified as the sums of idempotents. With the help of this observation, the issue of left versus right logarithmic residues is investigated, both for connected and nonconnected underlying Cauchy domains. Examples are given to elucidate the subject matter.
Creation-Date: 2001-03-20
File-URL: https://repub.eur.nl/pub/1671/feweco20010320121610.pdf
File-Format: application/pdf
Series: RePEc:ems:eureir
Number: EI 2001-06
Keywords: Cauchy domains, Logarithmic residues, analytic Banach algebra valued function, meromorphic inverse
Handle: RePEc:ems:eureir:1671