Maqola

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

Ochiq kirishBronza

Manbada oʻqishiopscience.iop.org(yangi oynada ochiladi)
PDFiopscience.iop.org(yangi oynada ochiladi)

ABI

Annotatsiya

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.

Hali tarjima qilinmagan

Mavzular

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

Identifikatorlar

DOI: 10.1070/sm9328

Iqtiboslar va manbalar

0 ta iqtibos6 ta foydalanilgan manba