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 define the convolution of functionals on abstract Wiener space and establish the relationship between the Fourier-Wiener transforms of each functional and the Fourier-Wiener transform ...

Mathematicians are still trying to understand fundamental properties of the Fourier transform, one of their most ubiquitous ...

Harmonic analysis occupies a central position in modern mathematical analysis by providing the tools to express complex functions as superpositions of simpler sinusoidal components via the Fourier ...