Linked from

The 13 pages that link to Distribution (mathematics), each with the reason it gives.

• Green's functionNarrower topic: Point sources and many Green's functions are naturally defined as distributions.

• Scalar fieldCompared with: Distributions extend scalar fields to singular objects that need not have pointwise values.

• Sobolev spaceNarrower topic: Weak derivatives are defined within distribution theory.

• Weak solutionNarrower topic: The weak-solution identity is naturally expressed using distributions.

• Heaviside step functionNarrower topic: Distribution theory gives precise meaning to the step’s derivative and point value.

• Hyperbolic partial differential equationRelated: Hyperbolic equations often require distributional solutions for point sources and discontinuous waves.

• Elliptic regularityNarrower topic: Elliptic equations can be interpreted distributionally before their solutions are known to be smooth.

• Weak derivativeNarrower topic: The test-function definition first produces a distribution, even when no ordinary derivative exists.

• Dirac combNarrower topic: The comb belongs to this broader framework because its impulses are not ordinary function values.

• Sobolev inequalityRelated: They make derivatives and function-space estimates meaningful beyond classical smoothness.

• Hilbert transformNarrower topic: The singular kernel can be defined rigorously as a distribution before acting on suitable functions.

• Fundamental lemma of the calculus of variationsNarrower topic: The lemma is the basic uniqueness principle identifying a continuous function from its action on test functions.

• Weyl's lemmaNarrower topic: Weyl's lemma begins with harmonicity expressed for this generalized notion of function.