6533b86cfe1ef96bd12c8b5b

RESEARCH PRODUCT

Some Notes About Distribution Frame Multipliers

Rosario CorsoFrancesco Tschinke

subject

Symbolic calculusDistribution (number theory)frameHilbert spaceOrder (ring theory)Domain (mathematical analysis)Algebrasymbols.namesakerigged Hilbert spaceSettore MAT/05 - Analisi MatematicadistributionmultiplierssymbolsDistribution frameMathematics

description

Inspired by a recent work about distribution frames, the definition of multiplier operator is extended in the rigged Hilbert spaces setting and a study of its main properties is carried on. In particular, conditions for the density of domain and boundedness are given. The case of Riesz distribution bases is examined in order to develop a symbolic calculus.

yearjournalcountryeditionlanguage
2020-01-01
https://doi.org/10.1007/978-3-030-56005-8_6