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FRANCESCO TSCHINKE

Lower bounds for Riesz-Fischer maps in rigged Hilbert spaces

Abstract

This note concerns a further study about Riesz-Fischer maps, already introduced by the author in a recent work, that is a notion that extends to the spaces of distributions the sequences that are known as Riesz-Fischer sequences. In particular it is proved a characterizing inequality that has as consequence the existence of the continuous inverse of the synthesis operator.