Constructive proof about quadratic integrable function decomposition into analytic function
平方可积函数解析分解的构造性证明

In H-infinity control theory and control system design with the theory,the quadratic integration function defined on imaginary axis is often decomposed into analytic functions on right half-plane and left half-plane respectively.However,there is no strict proof because of the conclusion using many mathematic theories in different subject.A one-to-one connection among these functions is established and proved in detail.