Search results for " 46Bxx"

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Reproducing pairs of measurable functions and partial inner product spaces

2016

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.

Mathematics - Functional Analysi41A99 46Bxx 46C50 46Exx
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Reproducing pairs of measurable functions

2017

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.

continuous framesPure mathematicsPartial differential equationMeasurable functionApplied Mathematics010102 general mathematicsBanach spaceupper and lower semi-frames01 natural sciencesDual (category theory)Functional Analysis (math.FA)010101 applied mathematicsMathematics - Functional AnalysisContinuous frameReproducing pairInner product spaceSettore MAT/05 - Analisi MatematicaReproducing pairsUpper and lower semi-frameFOS: Mathematics0101 mathematics41A99 46Bxx 46ExxMathematics
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