Some  properties of an extended Fourier convolution operator and its applications

Authors

  • Phan Thi Tuyet Electric Power University, Hanoi, Vietnam

DOI:

https://doi.org/10.3842/umzh.v78i7-8.9595

Keywords:

Convolution, Fourier, Hartley, Transform

Abstract

UDC 517.444, 517.968, 517.982

We study some  boundedness properties and the Banach algebra structure of the extended Fourier convolution operator. As applications of these results, we establish the solvability of some  classes of Fredholm integral equations and differential equations.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 7-8, 2026.

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Published

24.07.2026

Issue

Vol. 78 No. 7-8 (2026)

Section

Research articles