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Q-Measures on the Dyadic Group and Uniqueness Sets for Haar Series

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Methods of Fourier Analysis and Approximation Theory

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

The aim of article is to describe, in terms of the Q-measures, uniqueness sets for Haar series with non-decreasing partial sum’s major sequences.

Mathematics Subject Classification (2000). Primary 42C10, Secondary 28A12

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Acknowledgements

This work was completed with the support of the Russian Foundation for Basic Research (grant no. 14-01-00417), and of the program “Leading science schools” (grant no. NSh-3682.2014.1), and of the grant VGMHA-2014.

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Authors and Affiliations

  1. Vologda Vereshchagin Academy, Schmidt Street 2, 160555, Molochnoe, Vologda, Russia

    Mikhail G. Plotnikov

Authors
  1. Mikhail G. Plotnikov
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Correspondence to Mikhail G. Plotnikov .

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Editors and Affiliations

  1. Department of Mathematics, Imperial College London, London, United Kingdom

    Michael Ruzhansky

  2. ICREA Research Professor, Centre de Recerca Matemàtica, Barcelona, Spain

    Sergey Tikhonov

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Plotnikov, M.G. (2016). Q-Measures on the Dyadic Group and Uniqueness Sets for Haar Series. In: Ruzhansky, M., Tikhonov, S. (eds) Methods of Fourier Analysis and Approximation Theory. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27466-9_6

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