Nature

Implementation of quantum and classical discrete fractional Fourier transforms

Two hundred years ago, Joseph Fourier introduced a major concept in mathematics, the so-called Fourier transform (FT). It was not until 1965, when Cooley and Tukey developed the ‘fast Fourier ...
JSTOR Daily

Asymptotic Properties of Discrete Fourier Transforms for Spatial Data

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 ...
Quanta Magazine

What Is the Fourier Transform?

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...
Nature

Graph Fourier transform for spatial omics representation and analyses of complex organs

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...
JSTOR Daily

Implementation of the Time Variant Discrete Fourier Transform as a Real-Time Order Tracking Method

This is a preview. Log in through your library . Abstract The Time Variant Discrete Fourier Transform was implemented as a real-time order tracking method using developed software and commercially ...
Hackaday

What Is The Fourier Transform?

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...