Linear Functional Equations. Operator Approach (Operator Theory: Advances and Applications) (Volume 83) by Anatolij Antonevich
English | 1996 | ISBN: 3034898517 | 187 Pages | PDF | 9 MB
In this book we shall study linear functional equations of the form m bu(x) == Lak(X)U(Qk(X)) = f(x), (1) k=l where U is an unknown function from a given space F(X) of functions on a set X, Qk: X -+ X are given mappings, ak and f are given functions. Our approach is based on the investigation of the operators given by the left-hand side of equa tion (1). In what follows such operators will be called functional operators.