Fredholm theorem

Fredholm theorem

[′fred‚hōm ‚thir·əm]
(mathematics)
A Fredholm equation of type 2 with continuous ƒ(x) has a unique continuous solution, or else the corresponding equation of type 1 has a positive number of linearly independent solutions.
References in periodicals archive ?
Students are presumed to have at least a nodding acquaintance with the Fourier transform of distributions, the Sobolev embedding theorems, and the Fredholm Theorem.
Dispersion decay and scattering theory
Lee bases his proof on an elementary derivation of sharp Fredholm theorems for self-adjoint geometric linear elliptic operators on asymptotically hyperbolic manifolds.
Fredholm operators and Einstein metrics on conformally compact manifolds
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