About: Edge-of-the-wedge theorem

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Edge-of-the-wedge theorem Goto Sponge NotDistinct Permalink

An Entity of Type : yago:Theorem106752293, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FEdge-of-the-wedge_theorem

In mathematics, Bogoliubov's edge-of-the-wedge theorem implies that holomorphic functions on two "wedges" with an "edge" in common are analytic continuations of each other provided they both give the same continuous function on the edge. It is used in quantum field theory to construct the analytic continuation of Wightman functions. The formulation and the first proof of the theorem were presented by Nikolay Bogoliubov at the International Conference on Theoretical Physics, Seattle, USA (September, 1956) and also published in the book Problems in the Theory of Dispersion Relations. Further proofs and generalizations of the theorem were given by R. Jost and H. Lehmann (1957), F. Dyson (1958), H. Epstein (1960), and by other researchers.

Attributes	Values
rdf:type	yago:WikicatTheoremsInComplexAnalysis yago:WikicatTheoremsInMathematicalPhysics yago:Abstraction100002137 yago:Communication100033020 yago:Message106598915 yago:Proposition106750804 yago:Statement106722453 yago:Theorem106752293
rdfs:label	Edge-of-the-wedge theorem (en) Теорема Боголюбова «об острие клина» (ru)
rdfs:comment	In mathematics, Bogoliubov's edge-of-the-wedge theorem implies that holomorphic functions on two "wedges" with an "edge" in common are analytic continuations of each other provided they both give the same continuous function on the edge. It is used in quantum field theory to construct the analytic continuation of Wightman functions. The formulation and the first proof of the theorem were presented by Nikolay Bogoliubov at the International Conference on Theoretical Physics, Seattle, USA (September, 1956) and also published in the book Problems in the Theory of Dispersion Relations. Further proofs and generalizations of the theorem were given by R. Jost and H. Lehmann (1957), F. Dyson (1958), H. Epstein (1960), and by other researchers. (en) Теорема Боголюбова «об острие клина» утверждает, что функция нескольких комплексных переменных, голоморфная в двух клиновидных областях с общим острием, на котором она непрерывна, является голоморфной и на острие. Данная теорема используется в квантовой теории поля для построения аналитического продолжения . Первая формулировка и доказательство теоремы были приведены Н. Н. Боголюбовым на международной конференции в Сиэтле, США (сентябрь 1956 года) и также опубликованы в монографии (дополнение А, теорема 1). Впоследствии другие доказательства и обобщения теоремы были приведены Йостом и Леманом (1957), Дайсоном (1958), Эпштейном (1960) и другими математиками. Важными применениями теоремы об «острие клина» являются: доказательство дисперсионных соотношений в квантовой теории поля, аксиоматиче (ru)
dcterms:subject	Axiomatic quantum field theory Several complex variables Theorems in mathematical physics Theorems in complex analysis
Wikipage page ID	1657665 (xsd:integer)
Wikipage revision ID	1118731483 (xsd:integer)
Link from a Wikipage to another Wikipage	Princeton, New Jersey Princeton University Press Quantum field theory Berlin Boston Axiomatic quantum field theory Holomorphic function Res Jost Complex plane Analytic continuation Several complex variables Mathematics Morera's theorem Freeman Dyson Fundamental solution London Sobolev space Harry Lehmann Cayley transform American Mathematical Society Fourier series Theorems in mathematical physics Upper half-plane Heidelberg Cotangent space Hyperfunction Theorems in complex analysis Dordrecht Kluwer Academic Publishers New York City Reading, Massachusetts Wave front set Springer-Verlag Hörmander Elliptic regularity Cauchy–Riemann operator Lower half-plane Wightman function Real axis Sobolev embedding theorem Nikolay Bogoliubov
Link from a Wikipage to an external page	https://books.google.com/books%3Fid=7VLMj4AvvicC&printsec=frontcover&dq=General+Principles+of+Quantum+Field+Theory https://books.google.com/books%3Fid=Ph7dtUSP63cC&printsec=frontcover
sameAs	Edge-of-the-wedge theorem Edge-of-the-wedge theorem Edge-of-the-wedge theorem Edge-of-the-wedge theorem Edge-of-the-wedge theorem
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Reflist dbt:Short_description dbt:Eom
first	V.S. (en)
id	B/b016750 (en)
last	Vladimirov (en)
title	Bogolyubov's theorem (en)
has abstract	In mathematics, Bogoliubov's edge-of-the-wedge theorem implies that holomorphic functions on two "wedges" with an "edge" in common are analytic continuations of each other provided they both give the same continuous function on the edge. It is used in quantum field theory to construct the analytic continuation of Wightman functions. The formulation and the first proof of the theorem were presented by Nikolay Bogoliubov at the International Conference on Theoretical Physics, Seattle, USA (September, 1956) and also published in the book Problems in the Theory of Dispersion Relations. Further proofs and generalizations of the theorem were given by R. Jost and H. Lehmann (1957), F. Dyson (1958), H. Epstein (1960), and by other researchers. (en) Теорема Боголюбова «об острие клина» утверждает, что функция нескольких комплексных переменных, голоморфная в двух клиновидных областях с общим острием, на котором она непрерывна, является голоморфной и на острие. Данная теорема используется в квантовой теории поля для построения аналитического продолжения . Первая формулировка и доказательство теоремы были приведены Н. Н. Боголюбовым на международной конференции в Сиэтле, США (сентябрь 1956 года) и также опубликованы в монографии (дополнение А, теорема 1). Впоследствии другие доказательства и обобщения теоремы были приведены Йостом и Леманом (1957), Дайсоном (1958), Эпштейном (1960) и другими математиками. Важными применениями теоремы об «острие клина» являются: доказательство дисперсионных соотношений в квантовой теории поля, аксиоматическая квантовая теория поля, теория обобщённых функций, обобщение теоремы Лиувилля. (ru)
author-link	Vasilii Sergeevich Vladimirov (en)
gold:hypernym	Continuations
prov:wasDerivedFrom	wikipedia-en:Edge-of-the-wedge_theorem?oldid=1118731483&ns=0
page length (characters) of wiki page	13163 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Edge-of-the-wedge_theorem
is Link from a Wikipage to another Wikipage of	List of complex analysis topics Algebraic analysis Reinhard Oehme Res Jost Vasily Vladimirov Index of physics articles (E) Function of several complex variables André Martineau Nikolay Bogolyubov List of Russian mathematicians List of Russian scientists CR manifold The edge of the wedge theorem List of theorems Sidney Martin Webster List of Russian people Bogoliubov's edge-of-the-wedge theorem Bogoliubov's theorem Bogolyubov's edge-of-the-wedge theorem

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 51 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software