Counting zeros of holomorphic functions of exponential growth
نویسندگان
چکیده
منابع مشابه
Counting zeros of holomorphic functions of exponential growth
We consider the number of zeros of holomorphic functions in a bounded domain that depend on a small parameter and satisfy an exponential upper bound near the boundary of the domain and similar lower bounds at finitely many points along the boundary. Roughly the number of such zeros is (2πh)−1 times the integral over the domain of the laplacian of the exponent of the dominating exponential. Such...
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ژورنال
عنوان ژورنال: Journal of Pseudo-Differential Operators and Applications
سال: 2010
ISSN: 1662-9981,1662-999X
DOI: 10.1007/s11868-010-0006-1