Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615833 | Journal of Mathematical Analysis and Applications | 2014 | 19 Pages |
Abstract
We consider various systematic ways of defining unbounded operator valued integrals of complex functions with respect to (mostly) positive operator measures and positive sesquilinear form measures, and investigate their relationships to each other in view of the extension theory of symmetric operators. We demonstrate the associated mathematical subtleties with a physically relevant example involving moment operators of the momentum observable of a particle confined to move on a bounded interval.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
D.A. Dubin, J. Kiukas, J.-P. Pellonpää, K. Ylinen,