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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