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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Classes of Linear Operators, v. 2 (Hardcover, illustrated edition)
Loot Price: R2,682
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Classes of Linear Operators, v. 2 (Hardcover, illustrated edition)
Series: Operator Theory: Advances and Applications, v. 63
Expected to ship within 10 - 15 working days
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This book presents a panorama of operator theory. It treats a
variety of classes of linear operators which illustrate the
richness of the theory, both in its theoretical developments and
its applications. For each of the classes various differential and
integral operators motivate or illustrate the main results. The
topics have been updated and enhanced by new developments, many of
which appear here for the first time. Interconnections appear
frequently and unexpectedly. This second volume consists of five
parts: triangular representations, classes of Toeplitz operators,
contractive operators and characteristic operator functions, Banach
algebras and algebras of operators, and extension and completion
problems. The exposition is self-contained and has been simplified
and polished in an effort to make advanced topics accessible to a
wide audience of students and researchers in mathematics, science
and engineering. Contents: Vol. I - This book presents a panorama
of operator theory. It treats a variety of classes of linear
operators which illustrate the richness of the theory, both in its
theoretical developments and its applications. For each of the
classes various differential and integral operators motivate or
illustrate the main results. The topics have been updated and
enhanced by new developments, many of which appear here for the
first time. Interconnections appear frequently and unexpectedly.
The present volume consists of four parts: general spectral theory,
classes of compact operators, Fredholm and Wiener-Hopf operators,
and classes of unbounded operators: The exposition is
self-contained and has been simplified and polished in an effort to
make advanced topics accessible to a wide audience of students and
researchers in mathematics, science and engineering. ..". Used as a
graduate textbook, the book allows the instructor several good
selections of topics to build a course. ... The authors took great
care to polish and simplify the exposition; as a result, the book
can serve also as an excellent basis for reading courses or for
self-study. ... Besides being a textbook, the book is a valuable
reference source for a wide audience of mathematicians, physicists
and engineers. The specialists in functional analysis and operator
theory will find most of the topics familiar, although the
exposition is often novel or non-traditional, making the material
more accessible. ..." (Zentralblatt fA1/4r Mathematik) / "This book
presents an excellently chosen panorama of operator theory. It
shows for several times the fruitful application of complex
analysis to problems in operator theory. ... Each part contains
interesting exercises and comments on the literature of the topic."
(Monatshefte fA1/4r Mathematik)
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