##  [Distribution Theory](/index.php/distribution-theory) 

  ##  [Distribution Theory](https://puremath.quantumdictionary.io/distribution-theory-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The theory of generalized functions realized as continuous linear functionals on spaces of test functions (e.g., C_c^∞ or the Schwartz space), providing a rigorous setting for singular objects like the Dirac delta and for distributional differentiation used in PDEs and Fourier analysis.