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Uniformly Computable Aspects of Inner Functions

✍ Scribed by Timothy H. McNicholl


Book ID
108126914
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
240 KB
Volume
202
Category
Article
ISSN
1571-0661

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πŸ“œ SIMILAR VOLUMES


Uniformly computable aspects of inner fu
✍ Timothy H. McNicholl πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 148 KB

## Abstract The theory of inner functions plays an important role in the study of bounded analytic functions. Inner functions are also useful in applied mathematics. Two foundational results in this theory are Frostman's Theorem and the Factorization Theorem. We prove a uniformly computable version

Derivatives of Computable Functions
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## Abstract As is well known the derivative of a computable and __C__^1^ function may not be computable. For a computable and __C__∞ function __f__, the sequence {__f__^(__n__)^} of its derivatives may fail to be computable as a sequence, even though its derivative of any order is computable. In th

A uniformly computable Implicit Function
✍ Timothy H. McNicholl πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 122 KB

## Abstract We prove uniformly computable versions of the Implicit Function Theorem in its differentiable and non‐differentiable forms. We show that the resulting operators are not computable if information about some of the partial derivatives of the implicitly defining function is omitted. Finall