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Sbornik: Mathematics, 2021, Volume 212, Issue 4, Pages 567–591
DOI: https://doi.org/10.1070/SM9316 (Mi sm9316) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On continuous endomorphisms of entire functions

A. B. Shishkin

Kuban State University, Krasnodar, Russia
English version PDF (591 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM9316
Abstract: The paper is concerned with continuous linear operators on the space of entire functions. The properties of such operators that are related to the definition of convolution-type operators in spaces of analytic functions are investigated. Corollaries refining both the approximation theorem for the kernel of a symmetric convolution operator and the dual definition of a differential operator in a complex domain are stated.
Bibliography: 20 titles.
Keywords: symmetric shift operator, symmetric convolution operator, exponential synthesis.
Received: 10.08.2019 and 01.12.2020
Russian version:
Matematicheskii Sbornik, 2021, Volume 212, Number 4, Pages 131–158
DOI: https://doi.org/10.4213/sm9316
Bibliographic databases:
Document Type: Article
UDC: 517.547.7+517.98
MSC: Primary 46E15, 47B91; Secondary 30D20
Language: English
Original paper language: Russian
Citation: A. B. Shishkin, “On continuous endomorphisms of entire functions”, Mat. Sb., 212:4 (2021), 131–158; Sb. Math., 212:4 (2021), 567–591
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM9316
  • https://www.mathnet.ru/eng/sm/v212/i4/p131
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:255
    Russian version PDF:52
    English version PDF:9
    Russian version HTML:68
    References:32
    First page:16
     
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