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<p>We prove a version of the Seeley theorem on the norm of singular Kipriyanov <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathbb {J}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">J</mi> </math></EquationSource> </InlineEquation>-pseudodifferential operators. The construction of these pseudodifferential operators is based on the <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mathbb {F}_{B}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="double-struck">F</mi> <mi>B</mi> </msub> </math></EquationSource> </InlineEquation>-Bessel integral transform, obtained from one of the linearly independent solutions to the singular Bessel differential equation with a negative parameter. Bibliography: 15 titles.</p>

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THEOREM ON THE NORM OF SINGULAR KIPRIYANOV \(\mathbb {J}\)-PSEUDODIFFERENTIAL OPERATORS

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • L. N. Lyakhov,
  • Yu. A. Bulatov,
  • S. A. Roshchupkin

摘要

We prove a version of the Seeley theorem on the norm of singular Kipriyanov \(\mathbb {J}\) J -pseudodifferential operators. The construction of these pseudodifferential operators is based on the \(\mathbb {F}_{B}\) F B -Bessel integral transform, obtained from one of the linearly independent solutions to the singular Bessel differential equation with a negative parameter. Bibliography: 15 titles.