Majorization in de Branges spaces I. Representability of subspaces |
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| Authors: | Anton Baranov |
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| Institution: | a Department of Mathematics and Mechanics, Saint Petersburg State University, 28, Universitetski pr., 198504 Petrodvorets, Russia
b Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8-10/101, A-1040 Wien, Austria |
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| 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∞. |
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| Keywords: | de Branges subspace Majorant Beurling-Malliavin Theorem |
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