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

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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
Numero di pagine18
Stato di pubblicazionePublished - 2020

Serie di pubblicazioni

NomeOperator Theory: Advances and Applications.


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