About: Carlson's theorem

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In mathematics, in the area of complex analysis, Carlson's theorem is a uniqueness theorem which was discovered by Fritz David Carlson. Informally, it states that two different analytic functions which do not grow very fast at infinity can not coincide at the integers. The theorem may be obtained from the Phragmén–Lindelöf theorem, which is itself an extension of the maximum-modulus theorem. Carlson's theorem is typically invoked to defend the uniqueness of a Newton series expansion. Carlson's theorem has generalized analogues for other expansions.

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rdfs:label	Carlson's theorem (en) Théorème de Carlson (fr)
rdfs:comment	In mathematics, in the area of complex analysis, Carlson's theorem is a uniqueness theorem which was discovered by Fritz David Carlson. Informally, it states that two different analytic functions which do not grow very fast at infinity can not coincide at the integers. The theorem may be obtained from the Phragmén–Lindelöf theorem, which is itself an extension of the maximum-modulus theorem. Carlson's theorem is typically invoked to defend the uniqueness of a Newton series expansion. Carlson's theorem has generalized analogues for other expansions. (en) En mathématiques, et plus précisément en analyse complexe, le théorème de Carlson est un théorème d'unicité découvert par (en). De manière informelle, il énonce que deux fonctions analytiques distinctes qui ne croissent pas trop vite ne peuvent pas coïncider sur les entiers. Le théorème est une conséquence du principe de Phragmén-Lindelöf, lui-même corollaire du principe du maximum. Le théorème de Carlson est usuellement invoqué pour démontrer l'unicité du développement en série de Newton. Il possède des généralisations pour d'autres développements. (fr)
differentFrom	Carleson's theorem
dcterms:subject	Finite differences Factorial and binomial topics Theorems in complex analysis
Wikipage page ID	4065365 (xsd:integer)
Wikipage revision ID	1101652232 (xsd:integer)
Link from a Wikipage to another Wikipage	Finite differences Binomial coefficient Factorial and binomial topics Complex analysis Mathematics Entire function Fritz Carlson Table of Newtonian series Theorems in complex analysis Maximum-modulus theorem Mahler's theorem Exponential type Uniqueness theorem Upper density E.C. Titchmarsh Forward difference Phragmén–Lindelöf theorem Newton series
Link from a Wikipage to an external page	https://zenodo.org/record/2485085/files/article.pdf
sameAs	Carlson's theorem Carlson's theorem Carlson's theorem Carlson's theorem Carlson's theorem
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has abstract	In mathematics, in the area of complex analysis, Carlson's theorem is a uniqueness theorem which was discovered by Fritz David Carlson. Informally, it states that two different analytic functions which do not grow very fast at infinity can not coincide at the integers. The theorem may be obtained from the Phragmén–Lindelöf theorem, which is itself an extension of the maximum-modulus theorem. Carlson's theorem is typically invoked to defend the uniqueness of a Newton series expansion. Carlson's theorem has generalized analogues for other expansions. (en) En mathématiques, et plus précisément en analyse complexe, le théorème de Carlson est un théorème d'unicité découvert par (en). De manière informelle, il énonce que deux fonctions analytiques distinctes qui ne croissent pas trop vite ne peuvent pas coïncider sur les entiers. Le théorème est une conséquence du principe de Phragmén-Lindelöf, lui-même corollaire du principe du maximum. Le théorème de Carlson est usuellement invoqué pour démontrer l'unicité du développement en série de Newton. Il possède des généralisations pour d'autres développements. (fr)
gold:hypernym	Theorem
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is differentFrom of	Carleson's theorem
is Link from a Wikipage to another Wikipage of	Indefinite sum Entire function Fritz Carlson Convergence proof techniques Lagrange polynomial Finite difference Carlson Difference polynomials Replica trick Table of Newtonian series Phragmén–Lindelöf principle List of factorial and binomial topics Mahler's theorem Newton polynomial Exponential type List of theorems Nachbin's theorem Carlson theorem
is Wikipage redirect of	Carlson theorem
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is foaf:primaryTopic of	wikipedia-en:Carlson's_theorem

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