@inbook{64cd70290a804a9faa71baded7dbc5ed,

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

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{\textquoteright}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.",

author = "Francesco Tschinke",

year = "2020",

language = "English",

isbn = "978-3-030-51944-5; 978-3-030-51945-2",

series = "Operator Theory: Advances and Applications.",

pages = "1--18",

booktitle = "Operator Theory, Functional Analysis and Applications",

}