Fourier Transforms and Approximations

Three classes of Fourier transforms

Presented are three classes of Fourier transforms: Fourier (Laplace) transforms on the halfline, Fourier transforms of measures with compact support, and Fourier transforms of rapidly decreasing functions (on the whole line).

Focus of the study

The focus is on the behaviour of Fourier transforms in the region of analyticity and the distribution of their zeros.

Application

Application