Abstract: This paper proposes a new method for inductance calculation of induction motors (IM) based on the convolution theorem. The integral form leading to the inductance expressions is derived from ...

Abstract: The fractional Fourier transform (FRFT), which is a generalization of the Fourier transform (FT), has emerged as a very efficient mathematical tool for signals which are having ...

Several important multivariate probability inequalities can be formulated in terms of multivariate convolutions of the form ∫ $f_{1}(x)f_{2}(x-\theta )dx$, where ...

Using free harmonic analysis and the theory of regular variation, we show that the monotonic strict domain of attraction for the standard arc-sine law coincides with the classical one for the standard ...

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...

TL;DR: We show how the relation of convolution, circulant matrices and the Fourier transform generalizes to the quaternionic domain. A Lipschitz constant bounding application acts as a ...