6533b82dfe1ef96bd1291615

RESEARCH PRODUCT

On some dual frames multipliers with at most countable spectra

Rosario Corso

subject

Pure mathematicsApplied MathematicsZero (complex analysis)Hilbert spaceFunctional Analysis (math.FA)Dual (category theory)Multiplier (Fourier analysis)Mathematics - Functional Analysissymbols.namesakeOperator (computer programming)Dual frames Invertibility Multipliers SpectraSettore MAT/05 - Analisi MatematicaFOS: MathematicssymbolsCountable set42C15 47A10 47A12MultiplicationBessel functionMathematics

description

A dual frames multiplier is an operator consisting of analysis, multiplication and synthesis processes, where the analysis and the synthesis are made by two dual frames in a Hilbert space, respectively. In this paper we investigate the spectra of some dual frames multipliers giving, in particular, conditions to be at most countable. The contribution extends the results available in literature about the spectra of Bessel multipliers with symbol decaying to zero and of multipliers of dual Riesz bases.

yearjournalcountryeditionlanguage
2021-11-15
http://arxiv.org/abs/2109.08127