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<p>Let <i>G</i> be a locally compact hypergroup provided with a left Haar measure <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mu \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation>. Let <i>K</i> be a compact subhypergroup of <i>G</i> such that (<i>G</i>,&#xa0;<i>K</i>) is a Gelfand pair, and <i>H</i> be a locally compact group. In this paper, considering a continuous action of <i>H</i> on the dual space of <i>G</i> we define linear operators of wavelet type acting on square-integrable <i>K</i>-biinvariant functions on <i>G</i> and we study their ranges.</p>

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Generalized wavelet transform on hypergroups

  • 期刊论文

  • 发表日期：

    2026年5月30日

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  • Kouakou Germain Brou,
  • Kinvi Kangni

摘要

Let G be a locally compact hypergroup provided with a left Haar measure \(\mu \) μ . Let K be a compact subhypergroup of G such that (G, K) is a Gelfand pair, and H be a locally compact group. In this paper, considering a continuous action of H on the dual space of G we define linear operators of wavelet type acting on square-integrable K-biinvariant functions on G and we study their ranges.