6533b873fe1ef96bd12d4525

RESEARCH PRODUCT

Riesz-Fischer Maps, Semi-frames and Frames in Rigged Hilbert Spaces

Francesco Tschinke

subject

symbols.namesakePure mathematicsDistribution (mathematics)Settore MAT/05 - Analisi MatematicasymbolsHilbert spaceRigged Hilbert spaceSpace (mathematics)Measure (mathematics)Frames Bases Distributions Rigged Hilbert spaceBessel functionDomain (mathematical analysis)Mathematics

description

In this note we present a review, some considerations and new results about maps with values in a distribution space and domain in 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.

yearjournalcountryeditionlanguage
2021-01-01
https://doi.org/10.1007/978-3-030-51945-2_29