Reproducing pairs of measurable functions and partial inner product spaces
Functional Analysis
2016-10-12 v1
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.
Keywords
Cite
@article{arxiv.1610.03420,
title = {Reproducing pairs of measurable functions and partial inner product spaces},
author = {Jean-Pierre Antoine and Camillo Trapani},
journal= {arXiv preprint arXiv:1610.03420},
year = {2016}
}
Comments
20 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1505.04187