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

Article, Preprint, Research OPEN
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd;
  • Publisher: Elsevier BV
  • Journal: Linear Algebra and its Applications, volume 341, issue 1-3, pages 327-344 (issn: 0024-3795)
  • Publisher copyright policies & self-archiving
  • Identifiers: doi: 10.1016/s0024-3795(01)00420-7
  • Subject: Logarithmic residues | meromorphic inverse | Geometry and Topology | Cauchy domains, Logarithmic residues, analytic Banach algebra valued function, meromorphic inverse | Numerical Analysis | Algebra and Number Theory | Cauchy domains | Discrete Mathematics and Combinatorics | analytic Banach algebra valued function

textabstractA 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 ... View more
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