Haar function

Haar function
функция f Хаара

English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. . 1994.

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  • Haar measure — In mathematical analysis, the Haar measure is a way to assign an invariant volume to subsets of locally compact topological groups and subsequently define an integral for functions on those groups.This measure was introduced by Alfréd Haar, a… …   Wikipedia

  • Haar wavelet — ] >The Haar wavelet is the first known wavelet and was proposed in 1909 by Alfréd Haar [Haar, Alfred; Zur Theorie der orthogonalen Funktionensysteme. (German) Mathematische Annalen 69 (1910), no. 3, 331 371.] . Haar used these functions to give… …   Wikipedia

  • Haar transform — The Haar transform is the simplest of the wavelet transforms. This transform cross multiplies a function against the Haar wavelet with various shifts and stretches, like the Fourier transform cross multiplies a function against a sine wave with… …   Wikipedia

  • Walsh function — In mathematical analysis, the set of Walsh functions form an orthogonal basis of the square integrable functions on the unit interval. The functions take the values 1 and 1 only, on sub intervals defined by dyadic fractions. They are useful in… …   Wikipedia

  • Wavelet de Haar — En matemáticas, el wavelet de Haar es una cierta secuencia de funciones. Ahora se le reconoce como el primer wavelet conocido. Esta secuencia fue propuesta en 1909 por Alfred Haar. Haar usó estas funciones para dar un ejemplo de un sistema… …   Wikipedia Español

  • Igusa zeta-function — In mathematics, an Igusa zeta function is a type of generating function, counting the number of solutions of an equation, modulo p , p 2, p 3, and so on. Definition For a prime number p let K be a p adic field, i.e. [K: mathbb{Q} p] …   Wikipedia

  • Class function — In mathematics, especially in the fields of group theory and representation theory of groups, a class function is a function f on a group G, such that f is constant on the conjugacy classes of G. In other words, f is invariant under the… …   Wikipedia

  • Pontryagin duality — In mathematics, in particular in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform. It places in a unified context a number of observations about functions on the… …   Wikipedia

  • Wavelet — A wavelet is a mathematical function used to divide a given function or continuous time signal into different frequency components and study each component with a resolution that matches its scale. A wavelet transform is the representation of a… …   Wikipedia

  • Hardy space — In complex analysis, the Hardy spaces (or Hardy classes) Hp are certain spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them after G. H. Hardy, because of the… …   Wikipedia

  • Caml — Infobox programming language name = Caml paradigm = multi paradigm: functional, imperative; object oriented in OCaml year = 1985 typing = strong, static designer = Gérard Huet, Guy Cousineau, Ascánder Suárez, Pierre Weis, Michel Mauny (Heavy… …   Wikipedia


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