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A brief introduction to Hilbert space frame theory and its applications

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arxiv 1509.07347 v2 pith:637EQ6KA submitted 2015-09-24 math.FA

A brief introduction to Hilbert space frame theory and its applications

classification math.FA
keywords frametheoryapplicationshilbertintroductionspacesubjectarea
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This is a short introduction to Hilbert space frame theory and its applications for those outside the area who want to enter the subject. We will emphasize finite frame theory since it is the easiest way to get into the subject.

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    In continuous-variable quantum estimation, informational completeness is not enough: stable reconstruction needs a positive lower frame bound in a σ-regularized geometry, and quasiprobability singularities (the P func...