INTERPOLATION PROBLEMS OF A. F. LEONTIEV TYPE

K. G. Malyutin

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INTERPOLATION PROBLEMS OF A. F. LEONTIEV TYPE

机译：A. F. Leontiev类型的插值问题

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In this paper, we discuss free interpolation in the spaces of entire and analytic finite-order functions in the upper half-plane. A review of problems and basic results related to such problems is given. Solvability criteria are formulated in terms of canonical products of interpolation nodes and in terms of the measure determined by these nodes.

机译：在本文中，我们在上半平面中讨论了整个和分析有限阶函数空间中的自由插值。给出了对这些问题有关的问题和基本结果的审查。在插值节点的规范产物方面和由这些节点确定的度量方面的可加工标准。

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来源
《Journal of Mathematical Sciences》 |2021年第3期|399-419|共21页
作者
K. G. Malyutin;
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作者单位

Southwest State University Kursk Russia;

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原文格式 PDF
正文语种 eng
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关键词
free interpolation; generalized Lagrange series; entire function; proximate order; divisor; canonical function; half-plane; Riesz measure; generalized Jones series;

机译：免费插值;广义拉格朗日系列;整个功能;近期订单;除数;规范功能;半平面;Riesz测量;广义琼斯系列;

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INTERPOLATION PROBLEMS OF A. F. LEONTIEV TYPE

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