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Composition Operators: And Classical Function Theory by Joel H. Shapiro

Composition Operators: And Classical Function Theory

by Joel H. Shapiro
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Book cover type: Paperback
  • ISBN13: 9780387940670
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 223
  • Original Price: EUR 69.99
  • Language: English
  • Edition: Softcover Repri
  • Item Weight: 374 grams
  • BISAC Subject(s): Calculus and Mathematical Analysis

The study of composition operators forges links between fundamental properties of linear operators and beautiful results from the classical theory of analytic functions. This book provides a self-contained introduction to both the subject and its function-theoretic underpinnings, and features a development accessible to anyone who has studied basic graduate level real and complex analysis. The work traces how such operator-theoretic issues as boundedness, compactness, and cyclicity, when studied in the context of composition operators, evolve into questions about subordination, value-distribution, angular derivatives, iteration, and functional equations; and it carefully develops each of these classical topics.

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