Displaying similar documents to “Logarithm of the discrete Fourier transform.”

On some Generalizations of a Class of Discrete Functions

Kovachev, Dimiter (2008)

Serdica Journal of Computing

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In this paper we examine discrete functions that depend on their variables in a particular way, namely the H-functions. The results obtained in this work make the “construction” of these functions possible. H-functions are generalized, as well as their matrix representation by Latin hypercubes.

Computation of the fundamental solution of electrodynamics for anisotropic materials

Valery Yakhno, Handan Yaslan, Tatiana Yakhno (2012)

Open Mathematics

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A new method for computation of the fundamental solution of electrodynamics for general anisotropic nondispersive materials is suggested. It consists of several steps: equations for each column of the fundamental matrix are reduced to a symmetric hyperbolic system; using the Fourier transform with respect to space variables and matrix transformations, formulae for Fourier images of the fundamental matrix columns are obtained; finally, the fundamental solution is computed by the inverse...

A hybrid mean value of the Dedekind sums

Hai Yang (2010)

Czechoslovak Mathematical Journal

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The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.