Spectral theorem for multipliers on \({L_{\omega}^{2}(\mathbb{R})}\)

DOI10.1007/S00013-009-0043-2zbMath1217.47010OpenAlexW1991849008MaRDI QIDQ1040665

Violeta Petkova

Publication date: 25 November 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0043-2

zbMATH Keywords

spectrummultiplierstranslationssymbol of a multiplier

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Spectrum, resolvent (47A10) Multipliers in one variable harmonic analysis (42A45)

Related Items (2)

Multipliers and Wiener-Hopf operators on weighted \(L ^{p }\) spaces ⋮ Spectra of the translations and Wiener-Hopf operators on $L_\omega ^2({\mathbb R}^+)$

Cites Work

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• Symbol of a multiplier on \(L^{2}_{\omega}(\mathbb R)\)
• On a theorem of Gearhart
• Spectral Theory for Contraction Semigroups on Hilbert Space
• Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras
• Multipliers on Banach spaces of functions on a locally compact Abelian group

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