Lectures on operator theory and its applications
著者
書誌事項
Lectures on operator theory and its applications
（Fields Institute monographs, 3）
American Mathematical Society, c1996
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注記
Other authors: Aad Dijksma, Heinz Langer, Michael A. Dritschel, James Rovnyak, and M.A. Kaashoek
Includes bibliographical references and index
内容説明・目次
内容説明
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.
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