This monograph aims to give a self-contained introduction into the whole field of topological analysis: Requiring essentially only basic knowledge of elementary calculus and linear algebra, it provides all required background from topology, analysis, linear and nonlinear functional analysis, and multivalued maps, containing even basic topics like separation axioms, inverse and implicit function theorems, the Hahn-Banach theorem, Banach manifolds, or the most important concepts of continuity of multivalued maps.
This book grew out of a course taught in the Department of Mathematics, Indian Institute of Technology, Delhi, which was tailored to the needs of the applied community of mathematicians, engineers, physicists etc.
The aim of this monograph is to give a thorough and self-contained account of functions of (generalized) bounded variation, the methods connected with their study, their relations to other important function classes, and their applications to various problems arising in Fourier analysis and nonlinear analysis.
This is the first part of the second revised and extended edition of the well established book "e;Function Spaces"e; by Alois Kufner, Oldrich John, and Svatopluk Fucik.
This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations.
This is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces.
As in the field of "e;Invariant Distances and Metrics in Complex Analysis"e; there was and is a continuous progress this is now the second extended edition of the corresponding monograph.
This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering.
This book, written by two experts in the field, deals with classes of iterative methods for the approximate solution of fixed points equations for operators satisfying a special contractivity condition, the Fejer property.
Aufgrund der herausragenden Bedeutung der Spektraltheorie linearer Operatoren in vielen Bereichen der Mathematik und Physik ist es nicht verwunderlich, dass verschiedene Versuche unternommen wurden, Spektren auch fur nichtlineare Operatoren zu definieren und zu untersuchen.
These Proceedings form a record of the lectures presented at the interna- tional Conference on Functional Analysis and Approximation held at the Ober- wolfach Mathematical Research Institute, August 9-16, 1980.
In this treatise we present the semigroup approach to quasilinear evolution equa- of parabolic type that has been developed over the last ten years, approxi- tions mately.
Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a classical part of functional analysis.
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.
This and the previous volume of the OT series contain the proceedings of the Workshop on Operator Theory and its Applications, IWOTA 95, which was held at the University of Regensburg, Germany, July 31 to August 4, 1995.
This volume presents the refereed proceedings of the Conference in Operator The- ory in Honour of Moshe Livsic 80th Birthday, held June 29 to July 4, 1997, at the Ben-Gurion University of the Negev (Beer-Sheva, Israel) and at the Weizmann In- stitute of Science (Rehovot, Israel).
This volume contains the Proceedings of the International Workshop Variational Methods For Discontinuous Structures, which was jointly organized by the Dipar- timento di Matematica Francesco Brioschi of Milano Politecnico and the Interna- tional School for Advanced Studies (SISSA) of Trieste.
This volume contains research articles from the field of Nonlinear Differential Equa- tions which result from the "e;Workshop on Nonlinear Analysis and Applications"e; held in Bergamo on July 9 to 13, 200l.
The aim of the book is to present the state of the art of the theory of symmetric (Hermitian) matrix Riccati equations and to contribute to the development of the theory of non-symmetric Riccati equations as well as to certain classes of coupled and generalized Riccati equations occurring in differential games and stochastic control.
As mentioned in the Introduction to Volume I, the present monograph is intended both for mathematicians interested in applications of the theory of linear operators and operator-functions to problems of hydrodynamics, and for researchers of applied hydrodynamic problems, who want to study these problems by means of the most recent achievements in operator theory.
