Wiener’s Tauberian theorem in 𝐿₁(𝐺//𝐾) and harmonic functions in the unit disk

DOI10.1090/S0273-0979-1995-00554-9zbMath0836.43020arXivmath/9501226OpenAlexW2906966922MaRDI QIDQ4320739

Yaakov Ben Natan, Yitzhak Weit, Haakan Hedenmalm, Yoav Benyamini

Publication date: 1995

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9501226

zbMATH Keywords

Fourier transformsspherical functionsspectral synthesisWiener's Tauberian theoremSU(1,1)connected nilpotent Lie groups

Mathematics Subject Classification ID

Harmonic analysis and spherical functions (43A90) Spectral synthesis on groups, semigroups, etc. (43A45)

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Cites Work

• Some properties of the Fourier transform on semi-simple Lie groups. I
• On the primary ideal structure at infinity for analytic Beurling algebras
• Harmonic analysis of spherical functions on \(SU(1,1)\)
• Ideal theory in group algebras of locally compact groups
• Approximation in a class of Banach algebras of quasianalytically smooth analytic functions
• A Poisson formula for semi-simple Lie groups
• Some Properties of the Fourier-Transform on Semisimple Lie Groups. III
• On the analytic transform of bounded linear functionals on certain Banach algebras
• A Remark on Wiener's Tauberian Theorem
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