Orthogonal system of functions and generalized christoffel - darboux formula

Orthogonal systems of vector-functions have been investigated mith the aid of bunches of quadratic forms and partial differential equations. The work has been aimed at obtaining the generalized Christoffel - Darboux formula and its usage for analyzing zeroes of quasi-orthogonal vector-polynoms. Proposed have two methods of orthogonal vector-functions relating to linear positive functional. Obtained has been the generalized Christoffel-Darboux formula; introduced have been quasi-orthogonal vector-functions; analyzed have been their characteristics; given have been their applications. All the results are new can be used in the theory of cubic formulas and theory of experiment planningAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio