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<p>In this work, we define the localization operators associated with the linear canonical Fourier-Jacobi wavelet transform. We analyze the boundedness of these operators in the Schatten–von Neumann classes <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(S^{p}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>S</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(1\le p \le \infty \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>1</mn> <mo>≤</mo> <mi>p</mi> <mo>≤</mo> <mi>∞</mi> </mrow> </math></EquationSource> </InlineEquation> for various classes of symbols, establish their compactness, and also provide a trace formula.</p>

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Localization operators in the framework of the linear canonical Jacobi wavelet transform

  • 期刊论文

  • 发表日期：

    2025年9月20日

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  • Othman Tyr,
  • Abdelaali Dades

摘要

In this work, we define the localization operators associated with the linear canonical Fourier-Jacobi wavelet transform. We analyze the boundedness of these operators in the Schatten–von Neumann classes \(S^{p}\) S p , \(1\le p \le \infty \) 1 ≤ p ≤ ∞ for various classes of symbols, establish their compactness, and also provide a trace formula.