Interpolation formulas with derivatives in de Branges spaces II

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:458

Article

Goncalves, Felipe¹  Littmann, Friedrich² 

[1] Univ Alberta, Math & Stat Sci, 632 Cent Acad Bldg, Edmonton, AB T6G 2G1, Canada

[2] North Dakota State Univ, Dept Math, Fargo, ND 58105 USA

关键词: Band-limited;    Exponential type;    Entire function;    Interpolation;    De Branges spaces;    Frames;   

DOI  :  10.1016/j.jmaa.2017.10.014

来源: Elsevier

【 摘 要 】

We investigate necessary and sufficient conditions under which entire functions in de Branges spaces can be recovered from function values and values of derivatives. Our main focus is on spaces with a structure function whose logarithmic derivative is bounded in the upper half-plane. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free