Finite Blaschke Products and Their Connections

Häftad, Engelska, 2018

AvStephan Ramon Garcia,Javad Mashreghi,William T. Ross

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This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields.

Produktinformation

Utgivningsdatum2018-12-19
Mått155 x 235 x 19 mm
Vikt528 g
FormatHäftad
SpråkEngelska
Antal sidor328
FörlagSpringer Nature Switzerland AG
ISBN9783030086558

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Beräkning och matematisk analys inom Naturvetenskap och teknik

Preface.- Notations.- 1. Geometry of the Schur class.- 2. Elementary hyperbolic geometry.- 3. Finite Blaschke products: the basics.- 4. Approximation by finite Blaschke products.- 5. Zeros and residues.- 6. Critical points.- 7. Interpolation.- 8. The Bohr radius.- 9. Finite Blaschke products and group theory.- 10. Finite Blaschke products and operator theory.- 11. Real complex functions.- 12. Finite-dimensional model spaces.- 13. The Darlington synthesis problem.- A. Some reminders.- Index.

“The book under consideration is concerned with finite Blaschke products. … The book is designed for students and researchers familiar with basic real and complex analysis and linear algebra. The proofs are detailed and dozens illustrations are provided. At the end of each chapter, the authors include exercises so that the reader can gain greater technical fluency with the material and appreciate the beauty of the subject.” (Leonid Golinskii, zbMATH 1398.30002, 2018)

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