On algebras of Hausdorff operators on the real line

DOI10.1007/S10958-023-06275-7arXiv2306.14000OpenAlexW4366599120MaRDI QIDQ6187963

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Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.14000

zbMATH Keywords

Fourier transformcommutative Banach algebraspectrumholomorphic functionssymbol calculusHausdorff operator

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General properties of functions of one complex variable (30A99) Operator theory (47-XX)

Related Items (1)

On the symbol calculus for multidimensional Hausdorff operators

Cites Work

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• The Wiener algebra of absolutely convergent Fourier integrals: an overview
• On the structure of normal Hausdorff operators on Lebesgue spaces
• On the description of multidimensional normal Hausdorff operators on Lebesgue spaces
• The Hausdorff Mean of a Fourier-Stieltjes Transform
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)

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