Spectra of singular measures as multipliers on \(L^ p\).

DOI10.1016/0022-1236(80)90046-4zbMath0461.43007OpenAlexW2013795975MaRDI QIDQ1152548

Peter C. Sarnak

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90046-4

zbMATH Keywords

multiplierspectrum of multipliers

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 (11)

Operating functions on Fourier multipliers ⋮ Interpolation of linear operators ⋮ Spectra of symmetric self-similar measures as multipliers in \(L^p\) ⋮ Optimal extension of Fourier multiplier operators in \(L^p(G)\) ⋮ On the first Betti numbers of hyperbolic surfaces ⋮ Approximation of \(p\)-multiplier operators via their spectral projections ⋮ Linking numbers of modular knots ⋮ Trace formula for compact \(\Gamma \setminus PSL_ 2({\mathbb{R}})\) and the equidistribution theory of closed geodesics ⋮ Contractive operators and Khinchin's inequality ⋮ Riemannian manifolds with maximal eigenfunction growth ⋮ Spectra of measures as \(L_ p\) multipliers

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• The spectra of multiplier transformations on the \(L_p\) spaces
• Functions of \(L^ p\)-multipliers
• On the spectra of multipliers
• Interpolation of Linear Operators
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• The Spectrum of an Operator on an Interpolation Space
• Note on Harmonic Functions

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