2019/10/30 by Tschinke, Francesco
#46F05 #47A70 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 42C15 #Secondary
paper · doi:10.48550/arxiv.1910.14447
In this note a review, some considerations and new results about maps with values in a distribution space and domain in a σ-finite measure space X, are obtained. In particular, it is a survey about Bessel, 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 attained. Some example in tempered distributions space are examined.