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Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), special issue, Pages 124–136
DOI: https://doi.org/10.15393/j3.art.2018.5390 (Mi pa237) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Symmetric representations of holomorphic functions

A. B. Shishkin

Kuban State University, branch in Slavyansk-on-Kuban, 200, Kubanskaya str., Slavyansk-on-Kuban, Russia
Full-text PDF (625 kB) Citations (3)
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DOI: https://doi.org/10.15393/j3.art.2018.5390
Abstract: In this article a class of symmetric functions is defined and used in some special representation of holomorphic functions. This representation plays an important role in transitions from concrete problems of projective description to equivalent problems of inductive description and finds multiple applications in questions connected with spectral synthesis of differential operators.
Keywords: spectral synthesis, projective description, inductive description, differential operators, symmetric functions, holomorphic functions.
Received: 18.05.2018
Revised: 03.09.2018
Accepted: 03.09.2018
Bibliographic databases:
Document Type: Article
UDC: 517.53/.55
MSC: 32A10
Language: English
Citation: A. B. Shishkin, “Symmetric representations of holomorphic functions”, Probl. Anal. Issues Anal., 7(25), special issue (2018), 124–136
Citation in format AMSBIB
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\paper Symmetric representations of holomorphic functions
\jour Probl. Anal. Issues Anal.
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\vol 7(25)
\pages 124--136
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  • https://www.mathnet.ru/eng/pa237
  • https://www.mathnet.ru/eng/pa/v25/i3/p124
    • This publication is cited in the following 3 articles:
    1. A. A. Tatarkin, A. B. Shishkin, “Exponential Synthesis in the Kernel of a q-Sided Convolution Operator”, J Math Sci, 282:4 (2024), 581  crossref
    2. A. A. Tatarkin, A. B. Shishkin, “Eksponentsialnyi sintez v yadre operatora q-storonnei svertki”, Issledovaniya po lineinym operatoram i teorii funktsii. 50, Zap. nauchn. sem. POMI, 512, POMI, SPb., 2022, 191–222  mathnet
    3. Yu. S. Saranchuk, A. B. Shishkin, “General elementary solution of a homogeneous q-sided convolution type equation”, St. Petersburg Math. J., 34:4 (2023), 695–713  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Problemy Analiza — Issues of Analysis
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    Abstract page:193
    Full-text PDF :57
    References:32
     
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