Wave diffraction by conical structures

The analytical regularisation technique for rigorous solution of dual series equations in diffraction theory for conical structures is proposed. It is based on establishing of the rule for correct transition to the infinite systems of linear algebraic equations as well as on receiving the solutions, which provide the fulfilment of all the necessary conditions. These systems are proved to be regulated by a pair of operators, which consist of the convolution type operator and the corresponding inverted one. The elements of the inverted operator can be found analytically using the factorisation technique.