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.
Antoine, J.-P., & Trapani, C. (2017). Reproducing pairs of measurable functions and partial inner product spaces. Advances in Operator Theory, 2(2), 126-146. https://doi.org/10.22034/aot.1611-1053 (Original work published 2017)