Cyclic functions in \(L^p(\mathbb R)\), \(1 \leq p < \infty\)

DOI10.1007/S00041-003-0015-ZzbMath1044.42005OpenAlexW2074439696MaRDI QIDQ1416661

Karen L. Shuman, Joseph Max Rosenblatt

Publication date: 16 December 2003

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-003-0015-z

zbMATH Keywords

Fourier transformHausdorff dimensionset of uniquenessset of multiplicitycyclic functionsSchwartz-class function

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Completeness of sets of functions in one variable harmonic analysis (42A65)

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