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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 in number theory, mathematical statistics, and the theory of asymptotic expansions; it is essentially the…

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Overview

Relationship to other transforms

Examples

Fundamental strip

Properties

As an isometry on L2 spaces

In probability theory

Problems with Laplacian in cylindrical coordinate system

Applications

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Mellin transform

Nodes74
Edges73
Triples94
Avg. degree1.97
Density0.027027
Components1

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Mellin transform

Top relations

related to External links · 21
Mellin transform → Applications, Asymptotics, DAFX, Davide Rocchesso, Digital Library, Fast Mellin Transform, Funciones Eulerianas, Gonzáles, Harmonic, Marko Riedel Celebrando, Mathematical Functions, Mellin Transform Methods, Mellin Transforms, National Institute, Philippe Dumas, Philippe Flajolet, Sacerdoti, Spanish, Standards, TechnologyAntonio De Sena
related to Parseval's theorem and Plancherel's theorem · 9
Mellin transform → If, Let, Mellin, Parseval's, Plancherel's, Re, The, This, We
related to As an isometry on L2 spaces · 8
Mellin transform → For, Furthermore, Hilbert, In, Lp, Mellin, The Mellin, This
related to Cahen–Mellin integral · 8
Mellin transform → Cahen, Gamma, Mellin, Re, The Mellin, Therefore, This, Thus
related to In probability theory · 8
Mellin transform → If, In, Mellin, Re, The, The Mellin, This, XY
related to Examples · 7
Mellin transform → Dirichlet, Inverse Mellin, Mellin, Perron's, Riemann, Riesz, The Mellin
related to Polynomial functions · 7
Mellin transform → For, However, Mellin, Re, Similarly, Since, Thus
related to Zeta function · 7
Mellin transform → Gamma, It, Let, Mellin, Riemann, Then, Thus
has application · 6
Mellin transform → An, Fourier, Fourier Transform's, The, The Mellin, This
related to Relationship to other transforms · 5
Mellin transform → Haar, Laplace, Mellin, The, The Mellin

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Important terminology

displaystyle mellin transform mathcal infty int frac function dx gamma right left fundamental strip defined -1 tilde functions re pi

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Mellin transformis aintegral transform that may be regarded as the multiplicative version of the two-sided Laplace transform0.90text
Mellin transformis aessential tool in studying the distributions of products of random variables0.90text
Mellin transformhas applicationThe Mellin0.60section
Mellin transformhas applicationThe0.60section
Mellin transformhas applicationThis0.60section
Mellin transformhas applicationFourier Transform's0.60section
Mellin transformhas applicationFourier0.60section
Mellin transformhas applicationAn0.60section
Mellin transformrelated to As an isometry on L2 spacesIn0.60section
Mellin transformrelated to As an isometry on L2 spacesHilbert0.60section
Mellin transformrelated to As an isometry on L2 spacesMellin0.60section
Mellin transformrelated to As an isometry on L2 spacesFor0.60section

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