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Spectral properties of quadruple symmetric real functions. (English) Zbl 1329.42004

Summary: This paper examined the spectral properties of quadruple symmetric real functions. Theorem is formulated, under which the complex spectra of such symmetric functions are conjugated. The properties of the trigonometric functions are used in the proof of the theorem. Numerical results are presented for illustrating of the proven theorem.

MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

Software:

Matlab

References:

[1] (Viliunas, V.; Golpehpeieter, U., Emotional Psychology (1984), Moscow University Publishing House: Moscow University Publishing House Moscow), 60, pictures 4,5,6 (in Russian)
[3] Poularikas, A. D., The Handbook of Formulas and Tables for Signal Processing (2000), CRC Press LLC, Springer Verlag: CRC Press LLC, Springer Verlag Boca Raton FL, New York
[5] Jivkov, V., Stability of steady-state vibrations of a rotor in homogeneous elasto-viscous field, JTAM, 40, N1, 3-12 (2010)
[6] Burrus, S.; Frigo, M.; Jonson, S.; Pueschel, M.; Sesnick, I., Fast Furier Trnasforms, Fast Fourier Transforms (2012), CONNEXIONS, Rice University: CONNEXIONS, Rice University Houston, Texas, p. 5
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