Kaltenbäck, M.; Woracek, H. On extensions of Hermitian functions with a finite number of negative squares. (English) Zbl 0996.47012 J. Oper. Theory 40, No. 1, 147-183 (1998). Summary: We study extensions of a Hermitian function \(f\) with a finite number of negative squares given on a finite interval to the whole real axis. We associate to \(f\) an (in general degenerated) inner product space and a symmetric relation and use the theory of selfadjoint extensions in order to describe all extensions of \(f\). Cited in 6 Documents MSC: 47A20 Dilations, extensions, compressions of linear operators 47B50 Linear operators on spaces with an indefinite metric 42A82 Positive definite functions in one variable harmonic analysis 47A57 Linear operator methods in interpolation, moment and extension problems Keywords:Hermitian function with negative squares; selfadjoint relation; inner product space; selfadjoint extensions PDFBibTeX XMLCite \textit{M. Kaltenbäck} and \textit{H. Woracek}, J. Oper. Theory 40, No. 1, 147--183 (1998; Zbl 0996.47012)