Fredholm is a Swedish surname. Notable people with the surname include:
- Erik Ivar Fredholm (1866–1927), Swedish mathematician
- Fredholm alternative, in mathematics
 - Fredholm determinant, in mathematics
 - Fredholm integral equation, in mathematics
 - Fredholm kernel, in mathematics
 - Fredholm module, In noncommutative geometry
 - Fredholm number, in number theory, apparently not in fact studied by Fredholm
 - Fredholm operator, in mathematics
 - Fredholm's theorem, in mathematics
 - Analytic Fredholm theorem, in mathematics
 - Fredholm theory, in mathematics
 - Fredholm (crater), a small lunar impact crater
 - 21659 Fredholm (1999 PR3), main-belt asteroid discovered in 1999 by P. G. Comba
 
 - Ludwig Fredholm (1830–1891), Swedish industrialist
 - Gert Fredholm (born 1941), Danish film director and screenwriter
 - Patrik Fredholm (born 1978), Swedish footballer
 
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