In mathematics, the Fredholm determinant is a complex-valued function which generalizes the determinant of a finite dimensional linear operator. It is...

mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense, Fredholm theory concerns itself with the solution of the Fredholm integral...

of the determinant for such infinite-dimensional situations, which however only work for particular kinds of operators. The Fredholm determinant defines...

analysis included the construction of Fredholm determinants, and the proof of the Fredholm theorems. Fredholm was a member of the Finnish Society of...

eigenvalue of a random Hermitian matrix. The distribution is defined as a Fredholm determinant. In practical terms, Tracy–Widom is the crossover function between...

in mathematics Fredholm determinant, in mathematics Fredholm integral equation, in mathematics Fredholm kernel, in mathematics Fredholm module, In noncommutative...

can be found in Hayman (1994). The Grunsky operators and their Fredholm determinants are also related to spectral properties of bounded domains in the...

operator whenever λ is not an eigenvalue of D and hence that the Fredholm determinant det I − μ(D − λ)−1 is defined. The Dirichlet boundary conditions...

L{\sqrt {A}}}{L{\sqrt {A}}}}.} Abstract Wiener space Berezinian Fredholm determinant Fujikawa method Faddeev–Popov ghost (Branson 1993); (Osgood, Phillips...

equation to an integral equation on the boundary to which the theory of Fredholm operators can be applied. The theory is particularly simple in two dimensions—the...