Fredholm theory

Fredholm theory

In mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense, Fredholm theory concerns itself with the solution of the Fredholm integral equation. In a broader sense, the abstract structure of Fredholm's theory is given in terms of the spectral theory of Fredholm operators and Fredholm kernels on Hilbert space. The theory is named in honour of Erik Ivar Fredholm. (Wikipedia).

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Differential operator | Differential equation | Functional analysis | Elliptic operator | Fredholm alternative | Riesz representation theorem | Fredholm operator | Fredholm kernel | Sobolev space | Atiyah–Singer index theorem | Banach space | David Hilbert | Green's function | Hilbert–Pólya conjecture | Square-integrable function | Mathematics | Dirac delta function | Integral transform | Ordinary differential equation | Function space | Euclidean space | Compact operator | Manifold | Integral equation | Hilbert space | Operator theory | Fredholm determinant | Orthogonal polynomials | Fredholm integral equation | Nuclear operator | Fredholm's theorem | Riemann zeta function | Resolvent formalism | Spectral theory