A. Baranov, H. Woracek:

"Majorization in de Brange spaces I. Representation of subspaces";

in: "ASC Report 12/2009", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2009, ISBN: 978-3-902627-02-5.

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 per-

mitted. Significantly different situations are encountered when D is close

to the real axis or accumulates to i1.

de Branges subspace, majorant, Beurling-Malliavin Theorem

http://www.asc.tuwien.ac.at/preprint/2009/asc12x2009.pdf

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