Riesz-Fischer maps, Semiframes and Frames in rigged Hilbert spaces
Abstract
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.
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