The paper will present a new version of real discrete Fourier transform, based on symmetric frequencies combination sine and cosine functions. Basic aspects the construction as well potential applications be discussed. This include elements standard analysis to class differential equations in string theory.

An efficient method for implementing closed form discrete fractional Fourier transform for the purpose of signal compression is presented. Implementation method is compared with that of existing closed form discrete fractional Fourier transform, with respect to computational complexity, variance of quantization error, signal to noise ratio and number of bits for the representation of coefficien...

In the Fourier series approximation of real functions discontinuities of the functions or their derivatives cause problems like Gibbs phenomenon or slow uniform convergence. In the case of a nite number of isolated discontinuities the problems can be to a large extend recti ed by using periodic splines in the series. This modi ed Fourier series (Spline-Fourier series) is applied to the numerica...

in this paper functionalized multiwall carbon nanotubes (fmwcnt) were modified using doxycycline, containing reactable nitrogen, which can attach chemically to functionalized mwcnt. the synthesized nano compounds were characterized by fourier transform infrared spectroscopy (ft-ir) and raman spectroscopy. these spectrums proved the existence of nitrogen atoms of amide functional groups. the mor...

We express the Fourier coefficients of the Hilbert cusp form Lhf associated with mixed Hilbert cusp forms f and h in terms of the Fourier coefficients of a certain periodic function determined by f and h. We also obtain an expression of each Fourier coefficient of Lhf as an infinite series involving the Fourier coefficients of f and h.

Optical determination of shallow carrier profiles using Fourier transform infrared ellipsometry" (1998). Faculty Publications from the Department of Electrical and Computer Engineering. 23. Dopant profiles were determined by ex situ Fourier transform infrared variable-angle spectroscopic ellipsometry. The technique exploits carrier absorption in the mid-infrared spectral range and combines the ...

The paper deals with the discrete Laplacian on a uniform infinite square lattice. definition of its fundamental solution or lattice Green function (LGF) is clarified as Fourier coefficients certain generalized periodic g. Such functional must be regularized and gives LGF up to constant equal $${<}g{>}$$ , mean value For $${<}g{>}=0$$ may expressed in an exact analytic form terms hypergeometric ...