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Zeros of functions in fock spaces

 

作者: Kehe Zhu,  

 

期刊: Complex Variables, Theory and Application: An International Journal  (Taylor Available online 1993)
卷期: Volume 21, issue 1-2  

页码: 87-98

 

ISSN:0278-1077

 

年代: 1993

 

DOI:10.1080/17476939308814617

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30A04;30A78

 

数据来源: Taylor

 

摘要:

This paper studies the zero sets of the Fock spaces. We show that-zero sets are different fromzero sets ifp ≠ q; the union of two-zero sets is not an-zero set in general; and a subset of an-zero set is not necessarily an-zero set. We also show that if {zn} is an-zero set (not containing the origin) with multiple zeros repeated and modulus in increasing order then there exists a constant ε> 0 such thatfor alln>1.

 

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