Sankhyā: The Indian Journal of Statistics, Series A (2008-), Vol. 71, No. 2 (August 2009), pp. 221-259 (39 pages) Asymptotic distribution of the Discrete Fourier Transformation (DFT) of spatial data ...

Many authors have studied the rate of average decay of the Fourier transform of measures because of its relationship with the Falconer’s conjecture. Although examples have been given showing that the ...

What is the maximum rate at which information can be transmitted error-free in fibre–optic communication systems? For linear channels, this was established in classic works of Nyquist and Shannon.

The Fourier transform underpins so much of our technological lives, in most cases probably without our realising it. The ability to mathematically split a waveform into its frequency components and ...