caa a22 4500 475743644 CHVBK 20180406123506.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1007/s003659910015 doi (NATIONALLICENCE)springer-10.1007/s003659910015 Problems of Adamjan—Arov—Krein Type on Subsets of the Circle and Minimal Norm Extensions [Elektronische Daten] [L. Baratchart, J. Leblond, J. R. Partington] Abstract. : We constructively solve a pair of band-limited generalizations of the Adamjan—Arov—Krein problem. The first one consists in extending a function given on a proper subset of the unit circle to the whole circle so as to make it as close as possible to meromorphic with the prescribed number of poles, in the sup norm, while meeting some gauge constraint. The second consists in directly approximating the given function on the proper subset by the restriction of a meromorphic function, again meeting some gauge constraint. Springer-Verlag New York Inc., 2000 Key words. Uniform meromorphic approximation, Extremal problems in Hardy spaces, Hankel operators. AMS Classification. 30D55, 30E99, 93B30, 93C80 nationallicence Baratchart L. INRIA, BP 93, Sophia-Antipolis Cedex, 06902, France aut Leblond J. INRIA, BP 93, Sophia-Antipolis Cedex, 06902, France aut Partington J. R. School of Mathematics, University of Leeds, LS2 9JT, Leeds, UK aut https://doi.org/10.1007/s003659910015 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003659910015 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Baratchart L. INRIA, BP 93, Sophia-Antipolis Cedex, 06902, France aut NATIONALLICENCE 700 1- Leblond J. INRIA, BP 93, Sophia-Antipolis Cedex, 06902, France aut NATIONALLICENCE 700 1- Partington J. R. School of Mathematics, University of Leeds, LS2 9JT, Leeds, UK aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer