This monograph discusses nonstandard analysis (NSA) and its applications to harmonic analysis on locally compact Abelian (LCA) groups. A new notion of approximation of topological groups by finite groups is introduced and investigated. Based on this notion, new results are obtai…
"This book is addressed to mathematicians working in analysis and its applications. The aim is to provide an understandable introduction to the basic theory of nonstandard analysis and to illuminate some of its most striking applications. Problems are posed in all chapters." "Au…
"This book is addressed to mathematicians working in analysis and its applications. The aim is to provide an understandable introduction to the basic theory of nonstandard analysis and to illuminate some of its most striking applications. Problems are posed in all chapters." "Au…