Riesz-Fischer maps, semi-frames and frames in rigged Hilbert spaces

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Abstract

In this note we present a review, some considerations and new results about maps with values in a distribution space and domainin a σ-finite measure space X. Namely, this is a survey about Bessel maps, frames and bases (in particular Riesz and Gel’fand bases) in a distribution space. In this setting, the Riesz-Fischer maps and semi-frames are defined and new results about them are obtained. Some examples in tempered distributions space are examined.
Lingua originaleEnglish
Titolo della pubblicazione ospiteOperator Theory, Functional Analysis and Applications
Pagine1-18
Numero di pagine18
Stato di pubblicazionePublished - 2020

Serie di pubblicazioni

NomeOperator Theory: Advances and Applications.

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