Riesz-Fischer maps, Semiframes and Frames in rigged Hilbert spaces
Francesco Tschinke

TL;DR
This paper reviews and extends the theory of frames, bases, and Riesz-Fischer maps in distribution spaces, providing new results and examples within the context of rigged Hilbert spaces and tempered distributions.
Contribution
It introduces new results on Riesz-Fischer maps and semi-frames in distribution spaces, expanding the understanding of frames in rigged Hilbert spaces.
Findings
New results on Riesz-Fischer maps and semi-frames.
Examples in tempered distribution spaces.
A comprehensive survey of frames and bases in distribution spaces.
Abstract
In this note a review, some considerations and new results about maps with values in a distribution space and domain in a -finite measure space , 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Analysis and Transform Methods
