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<p>In this paper, we study the continuous Stockwell transform <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(S_{\psi }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>S</mi> <mi>ψ</mi> </msub> </math></EquationSource> </InlineEquation> associated with the Hankel operator. We establish a Calderón reproducing formula in <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(L^2(d\nu _\alpha )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mn>2</mn> </msup> <mrow> <mo stretchy="false">(</mo> <mi>d</mi> <msub> <mi>ν</mi> <mi>α</mi> </msub> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> and prove the corresponding reconstruction and convergence results.</p>

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Calderón’s reproducing formula for the Hankel-Stockwell transform

  • 期刊论文

  • 发表日期：

    2026年4月10日

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  • Hajer Herch

摘要

In this paper, we study the continuous Stockwell transform \(S_{\psi }\) S ψ associated with the Hankel operator. We establish a Calderón reproducing formula in \(L^2(d\nu _\alpha )\) L 2 ( d ν α ) and prove the corresponding reconstruction and convergence results.