Reproducing pairs of measurable functions and partial inner product spaces

Abstract

We continue the analysis of reproducing pairs of weakly measurable functions, which generalize continuous frames. More precisely, we examine the case where the defining measurable functions take their values in a partial inner product space (PIP spaces). Several examples, both discrete and continuous, are presented.

20 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1505.04187