UM  > 科技學院
A new property of Nevanlinna Functions
Tao Qian
Conference Namethe 16th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
Source PublicationProceedings of the 16th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
Conference DateJuly 28–August 1, 2008
Conference PlaceDongguk University Gyeongju, Korea

Writing the angular boundary limits (non-tangential boundary limits) of inner and outer functions in the unit disc in the form f(e it) = ρ(t)e iθ(t) , 0 ≤ t ≤ 2π, the paper studies the sign-change property of the “phase derivative” that reduces to θ 0 (t) if the function has an appropriate parameterization in t. We show in the inner functions case the Julia-Wolff-Carath´eodory Theorem may be rephrased to conclude the positivity property of the phase derivative. On the other hand, outer functions do not have such property. In the introduction we indicate that this study is motivated by the concept instantaneous frequency and relevant study in contemporary signal analysis.

KeywordInner Function Outer Function Blaschke Product Singular Inner Function Non-tangential Boundary Limit Angular Limit Angular Derivative Amplitude-phase Modulation Analytic Signal Instantaneous Frequency
Fulltext Access
Document TypeConference paper
CollectionFaculty of Science and Technology
AffiliationDepartment of Mathematics University of Macau Macao (Via Hong Kong)
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Tao Qian. A new property of Nevanlinna Functions[C],2008.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Tao Qian]'s Articles
Baidu academic
Similar articles in Baidu academic
[Tao Qian]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Tao Qian]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.