EMS 19 is the only Encyclopaedia volume in FunctionalAnalysis that will appea...EMS 19 is the only Encyclopaedia volume in Functional Analysis that will appear in the foreseeable future. It is a general survey of the field covering both the classical and modern approaches. Because of the widespread use of functional analysis in...more
EMS 19 is the only Encyclopaedia volume in FunctionalAnalysis that will appea...EMS 19 is the only Encyclopaedia volume in Functional Analysis that will appear in the foreseeable future. It is a general survey of the field covering both the classical and modern approaches. Because of the widespread use of functional analysis in...more
This book represents an elementary introduction into applied functional analys...This book represents an elementary introduction into applied functional analysis addressed to beginning graduate students in mathematics physics and engineering. The book may also be utilized as a reference book. This work consists of two volumesmore
A linear integral equation is an equation of the form XEX. (1) 2a(x)cp(x) - Ix...A linear integral equation is an equation of the form XEX. (1) 2a(x)cp(x) - Ix k(x y)cp(y)dv(y) = f(x) Here (X v) is a measure space with a-finite measure v 2 is a complex parameter and a k f are given (complex-valued) functions which are referred...more
This is the fourth of a five-volume exposition of the main principles of nonli...This is the fourth of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences economics and numerical analysis. The presentation is self-contained and accessible to the...more
With the groundwork laid in the first volume (EMS 15) of the Commutative Harmo...With the groundwork laid in the first volume (EMS 15) of the Commutative Harmonic Analysis subseries of the Encyclopaedia the present volume takes up four advanced topics in the subject: Littlewood-Paley theory for singular integrals exceptional...more
Intended for a wide range of readers this book covers the main ideas of convex...Intended for a wide range of readers this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis develops the main concepts and results and mentions some...more
Infinite series and their analogues-integral representations became funda-ment...Infinite series and their analogues-integral representations became funda-mental tools in mathematical analysis starting in the second half of the seven-teenth century. They have provided the means for introducing into analysis all o( the so-called...more
This is the first volume of four already scheduled in the subseries Commutativ...This is the first volume of four already scheduled in the subseries Commutative Harmonic Analysis of the EMS. Starting from the level of the average graduate student it ends with some topics in modern Fourier analysis. Besides its primary audience...more
This book contains two surveys on important topics in complex analysis. It add...This book contains two surveys on important topics in complex analysis. It addresses graduate students and researchers in complex analysis.more
This volume of the Encyclopaedia contains both an introduction to representati...This volume of the Encyclopaedia contains both an introduction to representation theory and a survey of some advanced topics concerning representations of Virasoro and affine algebras. All this material is important for mathematicians and...more
The aim of this book is to provide an introduction to the mathematical theory ...The aim of this book is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple yet rich class of examples that is those described by delay differential equations. It is a...more
to the English Translation This is a concise guide to basic sections of modern...to the English Translation This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces the theory of multinormed and uniform spaces the Riesz-Dunford holomorphic...more