Files and links (1)
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute, Open
Preprint
On the continuation of locally operator monotone functions
arXiv (Cornell University)
07 Jan 2013
Abstract
We generalize the phenomenon of continuation from complex anal- ysis to
locally operator monotone functions. Along the lines of the egde-of- the-wedge
theorem, we prove continuations exist dependent only on geometric features of
the domain and, namely, independent of the function values. We prove a
generalization of the Julia inequality for a class of functions containing
locally operator monotone functions, Pick functions.
Metrics
5 Record Views
Details
- Title
- On the continuation of locally operator monotone functions
- Creators
- J. E Pascoe
- Publication Details
- arXiv (Cornell University)
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021880196504721