Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse
Article, Preprint, Research
- Publisher: Elsevier BV
Linear Algebra and its Applications,
Geometry and Topology | Cauchy domains, Logarithmic residues, analytic Banach algebra valued function, meromorphic inverse | Numerical Analysis | Algebra and Number Theory | Discrete Mathematics and Combinatorics
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 ...