Preliminaries

Abstract

In this chapter a number of fundamental concepts and results on real variable theory, Lebesgue integration, convolutions, functions of bounded variation, normed linear spaces, bounded linear operators, and functionals are listed, together with some of the conventions and terminology that will be adhered to throughout this book. For the convenience of the reader the results are set down in a form actually used in the text, and to that extent only. In order to refer to the concepts and propositions by number later on, some are presented in various different forms although unified formulations would be possible. Several of the more important facts are given with proof or also with explicit references; this will permit the reader to review the material.