Riesz potential
In mathematics, the Riesz potential is a potential named after its discoverer, the Hungarian mathematician Marcel Riesz. In a sense, the Riesz potential defines an inverse for a power of the Laplace operator on Euclidean space. They generalize to several variables the Riemann–Liouville integrals of one variable. If 0 < α < n, then the Riesz potential Iαf of a locally integrable function f on Rn is the function defined by where the constant is given by where is the vector-valued Riesz transform. More generally, the operators Iα are well-defined for complex α such that 0 < Re α < n. provided
known for
Bessel potentialCauchy formula for repeated integrationFourier transformFractional calculusHilbert spaceList of Lund University peopleMarcel RieszMultiplier (Fourier analysis)Newtonian potentialPolarization constantsPoppy-seed bagel theoremRiemann–Liouville integralRiesz transformSobolev inequalitySpherical harmonics
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Riesz potential
In mathematics, the Riesz potential is a potential named after its discoverer, the Hungarian mathematician Marcel Riesz. In a sense, the Riesz potential defines an inverse for a power of the Laplace operator on Euclidean space. They generalize to several variables the Riemann–Liouville integrals of one variable. If 0 < α < n, then the Riesz potential Iαf of a locally integrable function f on Rn is the function defined by where the constant is given by where is the vector-valued Riesz transform. More generally, the operators Iα are well-defined for complex α such that 0 < Re α < n. provided
has abstract
In mathematics, the Riesz pote ...... , for this class of functions,
@en
Nel calcolo frazionario, il po ...... n–Liouville in più dimensioni.
@it
数学におけるリースポテンシャル(英: Riesz poten ...... が成立する。また、この函数のクラスに対しては が成立する。
@ja
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first
E.D.
@en
id
R/r082270
@en
last
Solomentsev
@en
title
Riesz potential
@en
wikiPageUsesTemplate
comment
In mathematics, the Riesz pote ...... ch that 0 < Re α < n. provided
@en
Nel calcolo frazionario, il po ...... n–Liouville in più dimensioni.
@it
数学におけるリースポテンシャル(英: Riesz poten ...... 急減少函数に対し、次の半群性を満たす: ただし が成立する。
@ja
label
Potenziale di Riesz
@it
Riesz potential
@en
リースポテンシャル
@ja