Article

Estimates for the volume of the zeros of a holomorphic function depending on a complex parameter

А. М. КытмановSiberian Federal University, Krasnoyarsk, RussiaAzimbay SadullaevNational University of Uzbekistan, Tashkent, Uzbekistan

Sbornik Mathematicsjournal2021en

ABI

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.

Topics

Algebraic and Geometric Analysis Analytic and geometric function theory Mathematical functions and polynomials

Identifiers

DOI: 10.1070/sm9328

Citations and references

Cited by 06 references

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