Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse
AbstractA 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.
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Bibliographic InfoPaper provided by Erasmus University Rotterdam, Econometric Institute in its series Econometric Institute Report with number EI 2001-06.
Date of creation: 20 Mar 2001
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Logarithmic residues; Cauchy domains; analytic Banach algebra valued function; meromorphic inverse;
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