The Fourier transform on the complex variable plane

Authors

  • N. A. Mironov National Technical University of Ukraine "Kyiv Polytechnic Institute", Ukraine

DOI:

https://doi.org/10.3103/S0735272704060093

Abstract

The paper considers the Fourier transform on the plane of a complex variable, for which the ordinary Fourier transform is a special case. The Fourier transform on the complex variable plane makes it possible to do without the Laplace transform (it is shown that the latter is not the general case of the Fourier transform), since it offers the same computational advantages. Some conditions are defined under which the calculation of the Fourier transforms on the plane of the complex variable can be performed with the aid of existing tables of one-sided Laplace transforms.

References

BASKAKOV, S.I. Radio-Engineering Networks and Signals [in Russian]. Moscow: Vysshaya Shkola, 1988.

TRONIN, Y.V. "Uteriana δ-funktciia!," Radiotekhnika i Elektronika, v.31, n.2, p.408-411, 1986.

GONOROVSKII, I.S. Radio-Engineering Networks and Signals [in Russian]. Moscow: Radio i Svyaz’, 1986.

VAN DER POL, B.; BREMMER, H. Operational Calculus Based on the Two-Sided Laplace Integral. CUP, 1950.

SMIRNOV, V.I. Foundations of Higher Mathematics, Vol. 1, Part 1 [in Russian]. Moscow: Nauka, 1974.

Downloads

Published

2004-06-09

Issue

Vol. 47 No. 6 (2004)

Section

Research Articles