Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
J-Contractive Matrix Valued Functions and Related Topics

J-Contractive Matrix Valued Functions and Related Topics

Arov, Damir Z.
Dym, Harry

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 116

CalculusGeneral Mathematics

ISBN10: 0521883008
ISBN13: 9780521883009
Publisher: Cambridge University Press
Published: Nov 6 2008
Pages: 588
Weight: 2.15
Height: 1.70 Width: 6.40 Depth: 9.30
Language: English
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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