Continuous Schauder frames for Banach spaces

2018/12/20 by Eisner, Joseph, Freeman, Daniel
#42C15 #46B10 #81R30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1812.08360

Abstract

We introduce the notion of a continuous Schauder frame for a Banach space. This is both a generalization of continuous frames and coherent states for Hilbert spaces and a generalization of unconditional Schauder frames for Banach spaces. As a natural example, we prove that any wavelet for L_p(\R) with 1

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