Coanalytic

Coanalytic refers to a mathematical concept primarily found in functional analysis and the study of operator algebras. It describes a type of function or an operator that exhibits certain properties related to analytic functions. Specifically, a coanalytic function in the context of complex analysis is one whose complex conjugate is analytic. Alternatively, in operator theory, a coanalytic operator might be one that is related to an analytic operator in a particular way, often through a transformation or a specific algebraic structure. The term "coanalytic" is less common than "analytic" and often arises in more specialized areas of mathematics. Its precise definition and application can vary depending on the specific mathematical field being discussed. Understanding coanalytic properties often involves applying the theorems and techniques developed for analytic functions to the conjugate or related structures.