Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591235 | Journal of Functional Analysis | 2010 | 36 Pages |
Abstract
In this series of papers we study subspaces of de Branges spaces of entire functions which are generated by majorization on subsets D of the closed upper half-plane. The present, first, part is addressed to the question which subspaces of a given de Branges space can be represented by means of majorization. Results depend on the set D where majorization is permitted. Significantly different situations are encountered when D is close to the real axis or accumulates to i∞.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory