On the range of composition operators on spaces of entire functions

Details On the range of composition operators on spaces of entire functions On the range of composition operators on spaces of entire functions

2010-06-07

arxiv.org/abs/1006.2793v3

Mathematics

Complex Variables

11 Pages, Accepted for publication in Contemporary Mathematics, AMS

Scientific paper

The celebrated Paley-Wiener theorem naturally identifies the spaces of bandlimited functions with subspaces of entire functions of exponential type. Recently, it has been shown that these spaces remain invariant only under composition with affine maps. After some motivation demonstrating the importance of characterization of range spaces of bandlimited functions, in this paper we identify the subspaces of $ L^2 (\mathbb{R}) $ generated by these action. Extension of these theorems where Paley-Wiener spaces are replaced by the deBranges-Rovnyak spaces are given.

Affiliated with

Also associated with

No associations

Rating

On the range of composition operators on spaces of entire functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the range of composition operators on spaces of entire functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the range of composition operators on spaces of entire functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-30931