<p>For two systems of functions that are <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11202_2025_1600_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">$ p $</EquationSource> </InlineEquation>-adic analogs of Rademacher chaos,their <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11202_2025_1600_Article_IEq3.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">$ q $</EquationSource> </InlineEquation>-lacunarity is proved and sets of uniqueness are studied.</p>

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On Lacunarity and Uniqueness for \( p \)-adic Analogs of Rademacher Chaos

  • A. D. Kazakova,
  • M. G. Plotnikov

摘要

For two systems of functions that are $ p $ -adic analogs of Rademacher chaos,their $ q $ -lacunarity is proved and sets of uniqueness are studied.