Positive Operator-Valued Measures and Frames

Syed Twareque Ali,Jean-Pierre Antoine,Jean-Pierre Gazeau

doi:10.1007/978-1-4614-8535-3_3

Positive Operator-Valued Measures and Frames

Syed Twareque Ali, Jean-Pierre Antoine + Show 1 more

https://doi.org/10.1007/978-1-4614-8535-3_3

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Publication Date: Aug 26, 2013

Citations: 1

Affiliation: Université Catholique de Louvain, Astroparticle and Cosmology Laboratory, Sorbonne Paris Cité, Université Paris Cité, Centro Brasileiro de Pesquisas Físicas

#Positive Operator-Valued Measures #Positive Operator-valued + Show 7 more

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Abstract

AbstractChapter 3 is a mathematical analysis of two related notions, namely, positive operator-valued (POV) measures and frames, and some generalizations. We start with continuous frames and introduce two generalizations, called upper, resp. lower, semi-frames, for which only the upper, resp. lower, frame bound is satisfied. Then we turn to the more familiar discrete frames and their generalizations.KeywordsHilbert SpaceCoherent StateBorel MeasureReproduce Kernel Hilbert SpaceFrame OperatorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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