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Cantor uniqueness and multiplicity along subsequences

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Publication:5858894
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DOI10.1090/spmj/1647zbMath1461.42004arXiv1804.06902OpenAlexW3134339665MaRDI QIDQ5858894

Alexander Olevskiĭ, Gady Kozma

Publication date: 15 April 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.06902

zbMATH Keywords

uniquenesstrigonometric serieslocalization principle


Mathematics Subject Classification ID

Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)


Related Items

Uniqueness of series by general Franklin system with convergent subsequence of partial sums, Uniqueness theorems for multiple Franklin series converging over rectangles



Cites Work

  • Uniqueness of trigonometric series and descriptive set theory, 1870-1985
  • THE REPRESENTATION OF MEASURABLE FUNCTIONS BY SERIES
  • The support of functions and distributions with a spectral gap.
  • Modifications of functions and Fourier series
  • EXAMPLE OF A WALSH SERIES WITH A SUBSEQUENCE OF PARTIAL SUMS CONVERGING EVERYWHERE TO ZERO
  • A New Proof of Uniqueness for Multiple Trigonometric Series
  • SOLVED AND UNSOLVED PROBLEMS IN THE THEORY OF TRIGONOMETRIC AND ORTHOGONAL SERIES
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