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Abstract <p>The paper is devoted to calculating the Bochner kernel a polyhedral convex cone in three-dimensional space. Some transmutation operators which are used for constructing a solution of model elliptic equations, are evaluated also. These representations are related to the Hilbert transform and analytical properties of such transformations.</p>

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On Constructing the Bochner Kernel for a Polyhedral Cone

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • Vladimir B. Vasilyev,
  • Denis A. Tokarev

摘要

Abstract

The paper is devoted to calculating the Bochner kernel a polyhedral convex cone in three-dimensional space. Some transmutation operators which are used for constructing a solution of model elliptic equations, are evaluated also. These representations are related to the Hilbert transform and analytical properties of such transformations.