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In [[mathematics]], '''Bôcher's theorem''' is either of two theorems named after the American mathematician [[Maxime Bôcher]]. ==Bôcher's theorem in complex analysis== ...

In [[mathematics]], '''Radó's theorem''' is a result about [[harmonic function]]s, named after [[Tibor Radó]]. Informally, it says that any "nice μ : ∂'''D''' → ∂Ω, there exists a unique harmonic function ''u'' : '''D''' → Ω such that ''u'' = μ on ∂'''D''' and ''u'' is a ...

{{Short description|Theorem in harmonic analysis}} ...infinity]]. It is of importance in [[harmonic analysis]] and [[asymptotic analysis]]. ...

{{Short description|Harmonic functions as solutions to Laplace's equation}} ...s]] and [[mathematical physics]], '''potential theory''' is the study of [[harmonic function]]s. ...

{{short description|Mathematics principle in complex analysis}} {{about|the reflection principle in complex analysis|reflection principles of set theory|Reflection principle}} ...

...a weighted sum of sinusoids having a common period, the result of Fourier analysis of a periodic function *[[Fourier analysis]], the description of functions as sums of sinusoids ...

{{Short description|Theorem regarding the convergence of harmonic functions.}} ...[Harnack's inequality]] which deals with the convergence of sequences of [[harmonic function]]s. ...

==Theorems of which articles are primarily devoted to proving them== ==Articles devoted to theorems of which a (sketch of a) proof is given== ...

{{About|Bochner's theorem in [[harmonic analysis]]|Bochner's theorem in Riemannian geometry|Bochner's theorem (Riemannian geometry)}} ...ve finite [[Borel measure]] on the real line. More generally in [[harmonic analysis]], Bochner's theorem asserts that under Fourier transform a continuous [[Po ...

{{Short description|Theorem in harmonic analysis}} ...el]] in 1910. It is a generalization of [[Parseval's theorem]]; often used in the fields of science and engineering, proving the [[unitary transformation ...

...atics, including [[number theory]] and [[applied mathematics]]; as well as in [[physics]], including [[hydrodynamics]], [[thermodynamics]], and [[electri See also: [[glossary of real and complex analysis]]. ...

In [[functional analysis]], a branch of [[mathematics]], the '''Hellinger–Toeplitz theorem''' states for all ''x'', ''y'' in the domain of ''A''. Note that symmetric ''everywhere-defined'' operators ...

...tics]], a [[sequence]] of [[vector space|vector]]s (''x''_''n'') in a [[Hilbert space]] <math>(H,\langle\cdot,\cdot\rangle)</math> is called a ...all sequences of [[scalar (mathematics)|scalar]]s (''a''_''n'') in the [[Lp space|ℓ^''p'' space]] ℓ². A Riesz sequence i ...

In [[complex analysis]], a branch of [[mathematics]], the ...circles. The theorem follows by choosing the constant ''a'' so that this [[harmonic function]] has the same maximum value on both circles. ...

{{Short description|Mathematical theorem in complex analysis}} ...red) for <math>z</math> in the [[unit disk]] centered at the origin (shown in blue). As predicted by the theorem, the maximum of the modulus cannot be in ...

...surface. [[Minimal surface]]s are among the objects of study in geometric analysis.]] ...partial differential equation]]s (PDEs), are used to establish new results in [[differential geometry]] and [[differential topology]]. The use of [[linea ...

This is a list of articles that are considered [[real analysis]] topics. See also: [[glossary of real and complex analysis]]. ...

...st such theorem using distributions was due to [[Laurent Schwartz]]. These theorems heavily rely on the [[triangle inequality]] (to interchange the absolute va ...elated mathematical concepts that place the decay properties of a function in context of [[stability theory|stability problems]]. ...

| caption = Stein in 2008 | known_for = [[Stein–Strömberg theorem]] <br/> Princeton Lectures on Analysis textbook series ...

In [[mathematics]], the '''equidistribution theorem''' is the statement that t While this theorem was proved in 1909 and 1910 separately by [[Hermann Weyl]], [[Wacław Sierpiński]] and [[P ...