Functional calculus of operators is a mathematical framework that allows for the application of functions to operators, particularly in the context of bounded linear operators on a Hilbert space. It bridges the gap between algebraic operations on functions and analytic properties of operators, enabling the manipulation and understanding of spectral properties through functional forms. This concept is crucial for analyzing how operators interact with various mathematical functions, which is particularly relevant in harmonic analysis.
congrats on reading the definition of Functional Calculus of Operators. now let's actually learn it.