<p>In this work, we obtain a representation of the Radon–Kipriyanov transform by the classical Riesz potential. Applying of the Radon–Kipriyanov transform to a singular partial differential operator, we derive a formula for transformation of a linear singular partial differential operator into an ordinary (nonsingular) differential operator.</p>

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REPRESENTATION OF THE RADON–KIPRIYANOV TRANSFORM BY THE RIESZ POTENTIAL

  • L. N. Lyakhov,
  • V. A. Kalitvin,
  • M. G. Lapshina

摘要

In this work, we obtain a representation of the Radon–Kipriyanov transform by the classical Riesz potential. Applying of the Radon–Kipriyanov transform to a singular partial differential operator, we derive a formula for transformation of a linear singular partial differential operator into an ordinary (nonsingular) differential operator.