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Contributions to Books:

A. Baranov, H. Woracek:
"Finite-dimensional de Branges subspaces generated by majorants";
in: "ASC Report 31/2007", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2007, ISBN: 978-3-902627-00-1.



English abstract:
If H(E) is a de Branges space and ! is a nonnegative function on
R, define a de Branges subspace of H(E) by
R!(E) = ClosH(E) ˘F 2 H(E) : 9C > 0 : |E−1F| C! on R .
It is known that one-dimensional de Branges subspaces generated in this way
are related to minimal majorants.We investigate finite-dimensional de Branges
subspaces, their representability in terms of majorants, and their relation to
minimal majorants.

Keywords:
deBranges subspace, admissible majorant, Beurling-Malliavin Theorem.


Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2007/asc31x2007.pdf


Created from the Publication Database of the Vienna University of Technology.