Schwartz's theory: a distribution is a continuous linear functional on the test-function space 𝒟(Ω) (or 𝒮 for tempered distributions). Differentiation is always defined; includes δ, principal-value 1/x, etc.
Schwartz's theory: a distribution is a continuous linear functional on the test-function space 𝒟(Ω) (or 𝒮 for tempered distributions). Differentiation is always defined; includes δ, principal-value 1/x, etc.