In this paper, we establish various relationships among the Fourier-Feynman transform, convolution and first variation of functionals in some Banach algebra, defined on the space of abstract Wiener ...

5. Discrete-Time Fourier Transform (4 lectures): Properties; convolution and multiplication properties. 6. Laplace Transform (3 lectures): Region of convergence; inverse Laplace transform; properties; ...

The use of Fourier transform IR (FTIR) spectroscopic techniques for the nondestructive analysis of biological specimens is a rapidly expanding research area, with much focus on its utility in ...

Convolution is sufficiently important to DSP that it is worth developing the subject in detail. In the following examples, the notation will be somewhat simplified. Instead of using f [n ], we will ...

Philip Brain, Jon Marshall, Modeling Cultivation Effects Using Fast Fourier Transforms, Journal of Agricultural, Biological, and Environmental Statistics, Vol. 4, No ...