About: Fredholm determinant

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In mathematics, the Fredholm determinant is a complex-valued function which generalizes the determinant of a finite dimensional linear operator. It is defined for bounded operators on a Hilbert space which differ from the identity operator by a trace-class operator. The function is named after the mathematician Erik Ivar Fredholm. Fredholm determinants have had many applications in mathematical physics, the most celebrated example being Gábor Szegő's limit formula, proved in response to a question raised by Lars Onsager and C. N. Yang on the spontaneous magnetization of the Ising model.

Attributes	Values
rdf:type	Thing disease
rdfs:label	Fredholm determinant (en)
rdfs:comment	In mathematics, the Fredholm determinant is a complex-valued function which generalizes the determinant of a finite dimensional linear operator. It is defined for bounded operators on a Hilbert space which differ from the identity operator by a trace-class operator. The function is named after the mathematician Erik Ivar Fredholm. Fredholm determinants have had many applications in mathematical physics, the most celebrated example being Gábor Szegő's limit formula, proved in response to a question raised by Lars Onsager and C. N. Yang on the spontaneous magnetization of the Ising model. (en)
rdfs:seeAlso	Szegő limit theorems
sameAs	Fredholm determinant Fredholm determinant
dbp:wikiPageUsesTemplate	dbt:Block_indent dbt:Citation dbt:Cite_journal dbt:Math dbt:See_also dbt:Norm
Subject	Determinants Fredholm theory
gold:hypernym	Function
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Fredholm_determinant?oldid=1061861600&ns=0
Wikipage page ID	2685562 (xsd:integer)
page length (characters) of wiki page	10502 (xsd:nonNegativeInteger)
Wikipage revision ID	1061861600 (xsd:integer)
Link from a Wikipage to another Wikipage	Group (mathematics) Mark Krein Nuclear operator Projection (linear algebra) Smoothness Banach space Yang Chen-Ning Boson Bounded operator Determinants Fredholm theory Hilbert space Metric (mathematics) Linear map Spontaneous magnetization Toeplitz operator Complex analysis Conformal field theory Homomorphism John Archibald Wheeler Orthonormal basis Entire function Erik Ivar Fredholm Functor Identity function Szegő limit theorems Determinant Exterior algebra Fermion Gábor Szegő Hardy space Harold Widom Inner product space Integral operator Trace class Ising model Israel Gohberg Lars Onsager Physical mathematics Mathematician Mathematics Random matrix Roger Evans Howe
has abstract	In mathematics, the Fredholm determinant is a complex-valued function which generalizes the determinant of a finite dimensional linear operator. It is defined for bounded operators on a Hilbert space which differ from the identity operator by a trace-class operator. The function is named after the mathematician Erik Ivar Fredholm. Fredholm determinants have had many applications in mathematical physics, the most celebrated example being Gábor Szegő's limit formula, proved in response to a question raised by Lars Onsager and C. N. Yang on the spontaneous magnetization of the Ising model. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Fredholm_determinant
is rdfs:seeAlso of	Grunsky matrix
is Link from a Wikipage to another Wikipage of	Fredholm Fredholm kernel Fredholm theory Erik Ivar Fredholm Functional determinant Determinant Faddeev–LeVerrier algorithm Grunsky matrix Harold Widom Ising model Markov partition Massive gravity Neumann–Poincaré operator
is known for of	Erik Ivar Fredholm
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Fredholm_determinant

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