 ##  [Functional Calculus](/functional-calculus) 

  ##  [Functional Calculus](https://puremath.quantumdictionary.io/functional-calculus-0) 

  

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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A framework that assigns operators f(A) to scalar functions f for a given (typically linear) operator A, using spectral measures, holomorphic functional calculus, or operational prescriptions so one can apply functions (polynomials, holomorphic functions, Borel functions) to operators in analysis and PDEs.