Address: Department of Mathematics, University of Vigo, Spain
E-mail: laia.francina.tugores@uvigo.gal
Abstract: This note deals with the classical topic of interpolating bounded sequences of complex numbers by bounded analytic functions on sequences in the unit disk. We introduce linear, polynomial, and multiplicative interpolation over fixed-length consecutive blocks of points taken from these sequences, and examine the corresponding interpolating sequences.
AMSclassification: primary 30E05; secondary 30H05, 30J10.
Keywords: interpolating sequences, bounded analytic functions, separated sequences.
DOI: 10.5817/AM2025-5-187