Antoine, Jean-Pierre
[UCL]
Speckbacher, Michael
[Acoustic Research Institute, Austrian Acad. Science]
Trapani, Camillo
[Università di Palermo]
We analyze the notion of reproducing pair of weakly measurable functions, which generalizes that of continuous frame. We show, in particular, that each reproducing pair generates two Hilbert spaces, conjugate dual to each other. Several examples, both discrete and continuous, are presented.
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Bibliographic reference |
Antoine, Jean-Pierre ; Speckbacher, Michael ; Trapani, Camillo. Reproducing pairs of measurable functions. In: Acta Applicandae Mathematicae : an international survey journal on applying mathematics and mathematical applications, Vol. 150, p. 81-101 (2017) |
Permanent URL |
http://hdl.handle.net/2078.1/183133 |