Translation and modulation invariant Hilbert spaces

2020/04/06 by Toft, Joachim, Gumber, Anupam, Manna, Ramesh +1
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2004.02430

Abstract

We show that for any Hilbert space of distributions on R^d which is translation and modulation invariant, is equal to L²(R^d), with the same norm apart from a multiplicative constant.

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