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К вопросу об устойчив ости классов единств енности интерполяционных за дач

On stability of uniqueness classes for interpolatory problems

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Abstract

The majority of the formerly considered interpolatory problems depending on a parameterh and dealing, on the basis of certain assigned elements, with the construction of the set of all entire functionsF(z) from a given classK, exhibits a stability property with respect to small changes of the parameterh involved. The present paper contains an example of such an interpolatory problem (as well as its complete solution), which depends on a real parameterh and is posed on a certain class of functions of exponential type, and for which the uniqueness class is not stable for any irrationalh. The problem mentioned is, in a certain sense, a modification of the known Lidstone problem concerning entire functions of exponential type.

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  1. МЕХАНИКО-М АТЕМАТИЧЕСКИЙ ФАКУЛ ЬТЕТ, УНИВЕРСИТЕТ ИМ. М. В. Л ОМОНОСОВА, МОСКОВ СКИЙ ГОСУДАРСТВЕННЫ Й, 117234, МОСКВА, СССР

    В. Л. Андриянов

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  1. В. Л. Андриянов
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Андриянов, В.Л. К вопросу об устойчив ости классов единств енности интерполяционных за дач. Analysis Mathematica 7, 151–160 (1981). https://doi.org/10.1007/BF01908519

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  • DOI: https://doi.org/10.1007/BF01908519

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