Estimates for the volume of the zeros of a holomorphic function depending on a complex parameter. (November 2021)
- Record Type:
- Journal Article
- Title:
- Estimates for the volume of the zeros of a holomorphic function depending on a complex parameter. (November 2021)
- Main Title:
- Estimates for the volume of the zeros of a holomorphic function depending on a complex parameter
- Authors:
- 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.
- Is Part Of:
- Sbornik. Volume 212:Number 11(2021)
- Journal:
- Sbornik
- Issue:
- Volume 212:Number 11(2021)
- Issue Display:
- Volume 212, Issue 11 (2021)
- Year:
- 2021
- Volume:
- 212
- Issue:
- 11
- Issue Sort Value:
- 2021-0212-0011-0000
- Page Start:
- 1608
- Page End:
- 1614
- Publication Date:
- 2021-11
- Subjects:
- 32A60
Weierstrass's preparation theorem -- analytic set -- regular point -- volume of an analytic set -- Wirtinger's theorem
Mathematics -- Periodicals
510.5 - Journal URLs:
- http://iopscience.iop.org/1064-5616 ↗
http://ioppublishing.org/ ↗
https://www.mi-ras.ru/index.php?l=1&c=publisher ↗ - DOI:
- 10.1070/SM9328 ↗
- Languages:
- English
- ISSNs:
- 1064-5616
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 20642.xml