Estimates for the volume of the zeros of a holomorphic function depending on a complex parameter
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Published:2021-11-01
Issue:11
Volume:212
Page:1608-1614
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ISSN:1064-5616
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Container-title:Sbornik: Mathematics
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language:
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Short-container-title:Sb. Math.
Author:
Kytmanov A. M.,Sadullaev A.
Abstract
Abstract
Given a holomorphic function
,
,
, an estimate for the volume of the zero set
is presented which holds uniformly in
. Such estimates are quite useful in investigations of oscillatory integrals of the form
as
. Here
is a so-called amplitude function and
is a phase function.
Bibliography: 9 titles.
Funder
Russian Foundation for Basic Research
Ministry of Innovative Development of the Republic of Uzbekistan
Subject
Algebra and Number Theory