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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 6, Pages 3–11 (Mi ivm7498)  
This article is cited in 3 scientific papers (total in 3 papers)

Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type

D. A. Abaninaab

a Southern Mathematical Institute of VSC RAS, Vladikavkaz, Russia
b Chair of Mathematical Analysis, Southern Federal University, Rostov-on-Don, Russia
Full-text PDF (214 kB) Citations (3)
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Abstract: We consider convolution equations in nonquasianalytic Beurling spaces of ultradifferentiable functions of mean type. We obtain a representation for a particular solution to such an equation as an exponential series whose coefficients are determined by the right-hand side of the equation.
Keywords: convolution equation, ultradifferentiable functions, exponential series.
Received: 08.02.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 6, Pages 1–8
DOI: https://doi.org/10.3103/S1066369X11060016
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: D. A. Abanina, “Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 6, 3–11; Russian Math. (Iz. VUZ), 55:6 (2011), 1–8
Citation in format AMSBIB
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\paper Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type
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\pages 3--11
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\jour Russian Math. (Iz. VUZ)
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  • https://www.mathnet.ru/eng/ivm7498
  • https://www.mathnet.ru/eng/ivm/y2011/i6/p3
    • This publication is cited in the following 3 articles:
    1. D. A. Polyakova, “General solution of homogeneous convolution equation in spaces of ultradifferentiable functions”, St. Petersburg Math. J., 31:1 (2020), 85–105  mathnet  crossref  isi  elib
    2. D. A. Polyakova, “O chastnom reshenii neodnorodnogo uravneniya svertki v prostranstvakh ultradifferentsiruemykh funktsii”, Vladikavk. matem. zhurn., 20:4 (2018), 67–75  mathnet  crossref  elib
    3. D. A. Polyakova, “On solutions of convolution equations in spaces of ultradifferentiable functions”, St. Petersburg Math. J., 26:6 (2015), 949–963  mathnet  crossref  mathscinet  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :78
    References:60
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