Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

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 ...

Design linear discrete-time systems and filters and analyze their behavior. Represent continuous-time signals and linear systems in discrete time, so that such signals can be recovered in continuous ...

IN a letter to NATURE of October 6, Prof. Michelson, referring to the statement that a Fourier's series can represent a discontinuous function, describes 'the idea that a real discontinuity can ...

Let $G$ be an infinite compact group with dual object $\Sigma$. Letting $\mathscr{H}_\sigma$ be the representation space for $\sigma \in \Sigma, \mathscr{E}^2(\Sigma ...