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The Bohr Radius

In: Finite Blaschke Products and Their Connections

Author

Listed:
  • Stephan Ramon Garcia

    (Pomona College, Department of Mathematics)

  • Javad Mashreghi

    (Laval University, Department of Mathematics and Statistics)

  • William T. Ross

    (University of Richmond, Department of Mathematics and Computer Science)

Abstract

The Bohr radius was examined over a century ago by H. Bohr and it is still a source of inspiration and further studies. We take up this subject for two reasons. First, the solution to certain extremal problems involves either disk automorphisms or a finite Blaschke product of order two. Second, there are several questions in this area that are not yet settled and it is conjectured that the solution to these problems should involve a finite Blaschke product.

Suggested Citation

  • Stephan Ramon Garcia & Javad Mashreghi & William T. Ross, 2018. "The Bohr Radius," Springer Books, in: Finite Blaschke Products and Their Connections, chapter 0, pages 155-180, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-78247-8_8
    DOI: 10.1007/978-3-319-78247-8_8
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