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.
Lee bases his proof on an elementary derivation of sharp Fredholm theorems for self-adjoint geometric linear elliptic operators on asymptotically hyperbolic manifolds.