Summation of Fourier integral and conjugate Fourier integral by method of G.F. Voronoi

L.G. Bojtsun (Oles Honchar Dnipropetrovsk National University)
O.M. Shumeiko (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0001-6719-8531

Abstract


The sufficient conditions under which the Fourier integral and conjugate Fourier integral are Voronoi-summable are obtained.

Keywords


Fourier integral; Voronoi method; summability

References


Voronoi G.F. Extension of concept of infinite series sum limit. In: Sobr. soch. in 3 vol., Kyiv, 1952; 3: pp. 9-10. (in Russian)

Titchmarsh E.C. Introduction to the theory of Fourier integral, Moscow, 1948; 479 p. (in Russian)




DOI: https://doi.org/10.15421/241008

  

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Copyright (c) 2010 L.G. Bojtsun, O.M. Shumeiko

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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