What is Generalized Fourier series?

Stationary-wave integrated Fourier-transform spectrometry , or standing-wave integrated Fourier-transform spectrometry, is an analytical technique used for measuring the distribution of light across an optical spectrum. SWIFTS technology is based on...

In mathematics, the Fourier transform on finite groups is a generalization of the discrete Fourier transform from cyclic to arbitrary finite groups.

In digital signal processing, the term Discrete Fourier series is any periodic discrete-time signal comprising harmonically-related discrete real sinusoids or discrete complex exponentials, combined by a weighted summation. A specific...

In mathematics, the discrete Fourier transform over a ring generalizes the discrete Fourier transform , of a function whose values are commonly complex numbers, over an arbitrary ring.

In applied mathematics, the nonuniform discrete Fourier transform of a signal is a type of Fourier transform, related to a discrete Fourier transform or discrete-time Fourier transform, but in which...

In Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering its Fourier transform. Specifically they multiply...

In mathematics, the question of whether the Fourier series of a periodic function converges to a given function is researched by a field known as classical harmonic analysis, a branch...

In mathematics, Fourier–Bessel series is a particular kind of generalized Fourier series based on Bessel functions. Fourier–Bessel series are used in the solution to partial differential equations, particularly in cylindrical...

In mathematics, particularly the field of calculus and Fourier analysis, the Fourier sine and cosine series are two mathematical series named after Joseph Fourier.

Fourier ptychography is a computational imaging technique based on optical microscopy that consists in the synthesis of a wider numerical aperture from a set of full-field images acquired at various...