An extension of the theory of Fredholm determinants
Copyright policy )An extension of the theory of Fredholm determinants
It is the aim of Fredholm's determinant theory to write the resolvent of an operator K as the quotient of an operator-valued entire function N(z) and a scalar-valued entire function d(z). This means that \[ (I-zK)^{- 1}=N(z)/d(z) \] for all z in the resolvent set. For certain integral operators occuring in the theory of dynamical systems, the author is looking for representations, where N(z) and d(z) have only a finite, but sufficiently large radius of convergence.
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Fredholm's determinant theory, quotient of an operator-valued entire function, integral operators, Linear operators on function spaces (general), resolvent, Spectrum, resolvent
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Fredholm's determinant theory, quotient of an operator-valued entire function, integral operators, Linear operators on function spaces (general), resolvent, Spectrum, resolvent
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