What is Discrete Fourier transform over a ring?

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 signal processing, discrete transforms are mathematical transforms, often linear transforms, of signals between discrete domains, such as between discrete time and discrete frequency. Many common integral transforms used in...

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 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 mathematical analysis, many generalizations of Fourier series have proved to be useful. They are all special cases of decompositions over an orthonormal basis of an inner product space. Here...

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.