Lectures on Operator Theory and Its Applications (Fields Institute Monographs) - Hardcover

Dijksma, Aad; Langer, Heinz; Dritschel, Michael A.; Rovnyak, James; Kaashoek, M. A.

9780821804575: Lectures on Operator Theory and Its Applications (Fields Institute Monographs)

Hardcover

ISBN 10: 082180457X ISBN 13: 9780821804575

Publisher: American Mathematical Society, 1996

Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavour. A good example is the large and amorphous body of knowledge known as "the theory of linear operators" or "operator theory", which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The theory is a vital part of "functional analysis", whose methods and techniques are one of the major advances of twentieth century mathematics and now play a pervasive role in the modeling of phenomena in probability, imaging, signal processing, systems theory, etc, as well as in the more traditional areas of theoretical physics and mechanics. This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Institute in 1994. The purpose of the meeting was to provide introductory lectures on some of the methods being used and problems being tackled in current research involving operator theory.

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