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289
An extension of the theory of fredholm determinants,
 Ist. Haute Etudes Sci. Publ. Math.
, 1990
"... Abstract. Analytic functions are introduced, which are analogous to the Fredholm determinant, but may have only finite radius of convergence. These functions are associated with operators of the form ]* ~z(dc0) ~co, where , ~ belongs to a space of H61der or C r functions, ~o~ is H61der or C r, a ..."
Abstract

Cited by 53 (0 self)
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Abstract. Analytic functions are introduced, which are analogous to the Fredholm determinant, but may have only finite radius of convergence. These functions are associated with operators of the form ]* ~z(dc0) ~co, where , ~ belongs to a space of H61der or C r functions, ~o~ is H61der or C r
ON THE NUMERICAL EVALUATION OF FREDHOLM DETERMINANTS
, 2008
"... Some significant quantities in mathematics and physics are most naturally expressed as the Fredholm determinant of an integral operator, most notably many of the distribution functions in random matrix theory. Though their numerical values are of interest, there is no systematic numerical treatment ..."
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Cited by 43 (6 self)
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Some significant quantities in mathematics and physics are most naturally expressed as the Fredholm determinant of an integral operator, most notably many of the distribution functions in random matrix theory. Though their numerical values are of interest, there is no systematic numerical
Intermittency and regularized Fredholm determinants
 Invent. Math
, 1999
"... We consider realanalytic maps of the interval I = [0,1] which are expanding everywhere except for a neutral fixed point at 0. We show that on a certain function space the spectrum of the associated PerronFrobenius operator M has a decomposition sp(M) = σc ∪ σp where σc = [0,1] is the continuous s ..."
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Cited by 14 (1 self)
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spectrum of M and σp is the pure point spectrum with no points of accumulation outside 0 and 1. We construct a regularized Fredholm determinant d(λ) which has a holomorphic extension to λ ∈ C − σc and can be analytically continued from each side of σc to an open neighborhood of σc − {0,1} (on different
Asymptotics of a Class of Fredholm Determinants
, 1998
"... In this expository article we describe the asymptotics of certain Fredholm determinants which provide solutions to the cylindrical Toda equations, and we explain how these asymptotics are derived. The connection with Fredholm determinants arising in the theory of random matrices, and their asymptoti ..."
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Cited by 1 (1 self)
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In this expository article we describe the asymptotics of certain Fredholm determinants which provide solutions to the cylindrical Toda equations, and we explain how these asymptotics are derived. The connection with Fredholm determinants arising in the theory of random matrices
Resonances in One Dimension and Fredholm Determinants
, 2000
"... We discuss resonances for Schrödinger operators in whole and halfline problems. One of our goals is to connect the Fredholm determinant approach of Froese to the Fourier transform approach of Zworski. Another is to prove a result on the number of antibound states namely, in a halfline problem the ..."
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Cited by 49 (1 self)
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We discuss resonances for Schrödinger operators in whole and halfline problems. One of our goals is to connect the Fredholm determinant approach of Froese to the Fourier transform approach of Zworski. Another is to prove a result on the number of antibound states namely, in a halfline problem
From multiple integrals to Fredholm determinants
, 2007
"... We show how a multiple integral representation for the densitydensity correlation functions of the onedimensional Bose gas with delta function interaction turns into a Fredholm determinant in the limit of infinite repulsion. ..."
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Cited by 3 (2 self)
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We show how a multiple integral representation for the densitydensity correlation functions of the onedimensional Bose gas with delta function interaction turns into a Fredholm determinant in the limit of infinite repulsion.
The Airy function is a Fredholm determinant
"... Abstract Let G be the Green's function for the Airy operator We show that the integral operator defined by G is HilbertSchmidt and that the 2modified Fredholm determinant ..."
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Abstract Let G be the Green's function for the Airy operator We show that the integral operator defined by G is HilbertSchmidt and that the 2modified Fredholm determinant
Results 1  10
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289