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<p>We consider the problem of simple free interpolation in the space of functions of finite order and normal type in a half-plane. We propose its solution by the method of shifting interpolation nodes. This solution is based on Earl’s method, which solved the problem of free interpolation in the space of analytic bounded functions in a unit circle.</p>

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INTERPOLATION BY EARL’S METHOD IN THE SPACE OF FUNCTIONS OF SEMIFORMAL ORDER

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • M. V. Kabanko,
  • K. G. Malyutin

摘要

We consider the problem of simple free interpolation in the space of functions of finite order and normal type in a half-plane. We propose its solution by the method of shifting interpolation nodes. This solution is based on Earl’s method, which solved the problem of free interpolation in the space of analytic bounded functions in a unit circle.