Extremal functions of the Nevanlinna-Pick problem and Douglas algebras

V. Tolokonnikov

Displaying similar documents to “Extremal functions of the Nevanlinna-Pick problem and Douglas algebras”

Interpolating sequences and the Nevanlinna Pick problem.

Arne Stray (1991)

Publicacions Matemàtiques

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The extremal solutions to the Nevanlinna Pick problem are studied. If there is more than one solution, Nevanlinna showed that all extremal solutions are inner functions. With some extra information on the interpolation data we find that the extremal solutions are Blaschke products whose zeroes form a finite union of interpolating sequences.

The closed convex hull of the interpolating Blaschke products.

Knut Oyma (1997)

Publicacions Matemàtiques

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The closed convex hull of the interpolating Blaschke products contains any bounded analytic function of sufficiently small norm.

Remote points

Eric K. van Douwen

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CONTENTS0. Conventions................................................................................................................................... 51. Introduction............................................................................................................................................. 5CHAPTER I. TOOLS AND THE CONSTRUCTION OF SPECIAL POINTS............................... 102. Tools...........................................................................................................................................................