6533b827fe1ef96bd1287221

RESEARCH PRODUCT

Reproducing pairs of measurable functions

Camillo TrapaniJean-pierre AntoineMichael Speckbacher

subject

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

description

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.

yearjournalcountryeditionlanguage
2017-03-10
http://arxiv.org/abs/1505.04187