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J-Contractive Matrix Valued Functions and Related Topics (Hardcover)
Loot Price: R5,198
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J-Contractive Matrix Valued Functions and Related Topics (Hardcover)
Series: Encyclopedia of Mathematics and its Applications
Expected to ship within 10 - 15 working days
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J-contractive and J-inner matrix valued functions have a wide range
of applications in mathematical analysis, mathematical physics,
control engineering and theory of systems and networks. This book
provides a comprehensive introduction to the theory of these
functions with respect to the open upper half-plane, and a number
of applications are also discussed. The first chapters develop the
requisite background material from the geometry of finite
dimensional spaces with an indefinite inner product, and the theory
of the Nevanlinna class of matrix valued functions with bounded
characteristic in the open upper half-plane (with attention to
special subclasses). Subsequent chapters develop this theory to
include associated pairs of inner matrix valued functions and
reproducing kernel Hilbert spaces. Special attention is paid to the
subclasses of regular and strongly regular J-inner matrix valued
functions, which play an essential role in the study of the
extension and interpolation problems.
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