On the Kreĭn-Langer integral representation of generalized Nevanlinna functions.
The degenerate Cauchy problem in a Banach space is studied on the basis of properties of an abstract analytical function, satisfying the Hilbert identity, and a related pair of operators A, B.
In this note we determine the class of indefinite and decomposable inner product spaces in which the natural topology is admissible and we prove the continuity of orthogonal projections in these spaces.
This paper should be considered as a companion report to F.W. Gehring’s survey lectures “Characterizations of quasidisks” given at this Summer School [7]. Notation, definitions and background results are given in that paper. In particular, D is a simply connected proper subdomain of unless otherwise stated and D* denotes the exterior of D in . Many of the characterizations of quasidisks have been motivated by looking at properties of euclidean disks. It is therefore natural to go back and ask...