Antoine, J., Trapani, C. (2017). Reproducing pairs of measurable functions and partial inner product spaces. Advances in Operator Theory, 2(2), 126-146. doi: 10.22034/aot.1611-1053
Jean-Pierre Antoine; Camillo Trapani. "Reproducing pairs of measurable functions and partial inner product spaces". Advances in Operator Theory, 2, 2, 2017, 126-146. doi: 10.22034/aot.1611-1053
Antoine, J., Trapani, C. (2017). 'Reproducing pairs of measurable functions and partial inner product spaces', Advances in Operator Theory, 2(2), pp. 126-146. doi: 10.22034/aot.1611-1053
Antoine, J., Trapani, C. Reproducing pairs of measurable functions and partial inner product spaces. Advances in Operator Theory, 2017; 2(2): 126-146. doi: 10.22034/aot.1611-1053
Reproducing pairs of measurable functions and partial inner product spaces
1Université catholique de Louvain - IRMP
2Dipartimento di Matematica e Informatica, Universit`a di Palermo
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.