RT Journal Article
T1 Remarks on Inner Functions and Optimal Approximants
A1 Bénéteau, Catherine
A1 Fleeman, Matthew C.
A1 Khavinson, Dmitry S.
A1 Seco Forsnacke, Daniel
A1 Sola, Alan A.
AB We discuss the concept of inner function in reproducing kernelHilbert spaces with an orthogonal basis of monomials and examine connections between inner functions and optimal polynomial approximants to 1/f , where f is a function in the space. We revisit some classical examples from this perspective, and show how a construction of Shapiro and Shields can be modiûed to produce inner functions.
PB Cambridge University Press
SN 0008-4395
YR 2018
FD 2018-12-01
LK https://hdl.handle.net/10016/32630
UL https://hdl.handle.net/10016/32630
LA eng
DS e-Archivo
RD 1 sept. 2024