Logatithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse

H. Bart (), T. Ehrhardt () and B. Silbermann ()
Additional contact information
B. Silbermann: FEW-Econometrie en besliskunde

No 216, Econometric Institute Report from Erasmus University Rotterdam, Econometric Institute

Abstract: 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.

Date: Written
View list of references

Downloads: (external link)
http://www.eur.nl/WebDOC/doc/econometrie/feweco20010320121610.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: http://EconPapers.repec.org/RePEc:dgr:eureir:2001216

Access Statistics for this paper

More papers in Econometric Institute Report from Erasmus University Rotterdam, Econometric Institute
Series data maintained by Anneke Kop ().