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Lerch's theorem for analytic functional with non-compact carrier and its applications to entire functions

 

作者: Kunio Yoshino,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1984）
卷期: Volume 2, issue 3-4  

页码: 303-318

 

ISSN:0278-1077

 

年代: 1984

 

DOI:10.1080/17476938408814051

 

出版商: Gordon and Breach Science Publishers

 

关键词: 46F15

 

数据来源: Taylor

 

摘要:

A Lerch's theorem for analytic functionals with unbounded carrier is proved. As applications Carlson's theorem, Polya's theorem and a Phragmen-Lindelöf type theorem are obtained for entire functions of exponential type in the left halfplane and of type 1 with respect to proximate order 1 + (log logr)/(logr) in the right half plane.

 

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