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 ...

In this paper, we prove an exponential integral formula for the Fourier transform of Bessel functions over complex numbers, along with a radial exponential integral formula. The former will enable us ...

Mathematicians Dr. Arvin Lamando of the University of the Philippines – Diliman College of Science’s Institute of Mathematics (UPD-CS IM) and Dr. Henry McNulty of the Norwegian University of Science a ...

Joseph Fourier was a French mathematician, born on 21 March 1768 in Auxerre, France. His name is closely associated with the Fourier series and Fourier transform, mathematical tools utilised in a wide ...

Microsoft Office Excel contains a data analysis add-in that allows to to perform a Fourier analysis of a series of numbers. So named for the French mathematician who developed the analytic technique ...

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 ...

The Fast Fourier Transform (FFT) is an implementation of the Discrete Fourier Transform (DFT) using a divide-and-conquer approach. A DFT can transform any discrete signal, such as an image, to and ...

Many patients with heart disease face limited treatment options. Fortunately, stem cell biology has enabled researchers to produce large numbers of cardiomyocytes, which may be used in drug screens ...