# Tight frames

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## Abstract

Decompositions like those in our two prototypical examples, i.e., \(f = \sum _{j\in J} \langle f, f_j\rangle f_j, \qquad \forall f\in {\mathscr {H}},\) will come from what is called a tight frame \((f_j)_{j\in J}\).

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