This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of

Translation of the 1988 Russian exposition of the theory of the function spaces now called Sobolev spaces, which are widely used in the theory of partial differ

This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require. It is based on a course whi

Present day research in partial differential equations uses a lot of functional analytic techniques. This book treats these methods concisely, in one volume, at