Poisson transform

См. также в других словарях:

• Poisson summation formula — The Poisson summation formula is an equation relating the coefficients of the Fourier Series of the periodic extension of a function in terms of the values of the function s continuous Fourier transform. The Poisson Summation Formula was… …   Wikipedia

• Weierstrass transform — In mathematics, the Weierstrass transform [Ahmed I. Zayed, Handbook of Function and Generalized Function Transformations , Chapter 18. CRC Press, 1996.] of a function f : R rarr; R is the function F defined by:F(x)=frac{1}{sqrt{4piint {… …   Wikipedia

• Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

• Anscombe transform — In statistics, the Anscombe transform (1948) is a variance stabilizing transformation that transforms a random variable with a Poisson distribution into one with an approximately Gaussian distribution. The Anscombe transform is widely used in… …   Wikipedia

• Mellin transform — In mathematics, the Mellin transform is an integral transform that may be regarded as the multiplicative version of the two sided Laplace transform. This integral transform is closely connected to the theory of Dirichlet series, and is often used …   Wikipedia

• Riesz transform — In the mathematical theory of harmonic analysis, the Riesz transforms are a family of generalizations of the Hilbert transform to Euclidean spaces of dimension d > 1. They are a type of singular integral operator, meaning that they are given by a …   Wikipedia

• Screened Poisson equation — In mathematics, the screened Poisson equation is the following partial differential equation::left [ abla^2 lambda^2 ight] u(mathbf{r}) = f(mathbf{r})where ² is the Laplace operator, λ is a constant, f is an arbitrary function of position (known… …   Wikipedia

• Discrete-time Fourier transform — In mathematics, the discrete time Fourier transform (DTFT) is one of the specific forms of Fourier analysis. As such, it transforms one function into another, which is called the frequency domain representation, or simply the DTFT , of the… …   Wikipedia

• Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

• Relations between Fourier transforms and Fourier series — In the mathematical field of harmonic analysis, the continuous Fourier transform has very precise relations with Fourier series. It is also closely related to the discrete time Fourier transform (DTFT) and the discrete Fourier transform (DFT).… …   Wikipedia

• Window function — For the term used in SQL statements, see Window function (SQL) In signal processing, a window function (also known as an apodization function or tapering function[1]) is a mathematical function that is zero valued outside of some chosen interval …   Wikipedia