Measures And Functional Spaces

Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values.

Authors: Koshmanenko, Volodymyr, Dudkin, Mykola
Deals with singular quadratic forms and singular perturbations of self-adjoint operators considered in rigged Hilbert spaces
Demonstrates the theory of singular perturbations by three notions into a unique object with a three-face image existing in the rigged Hilbert space
Provides an adequate tool for exploration of the singular perturbation problem

J. Aczél: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.