Standard

On asymptotic behaviour of Fourier Transformation on a convex curve. / Podkorytov, A. N.

In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 2, 04.1991, p. 50-57.

Research output: Contribution to journal › Article › peer-review

Harvard

Podkorytov, AN 1991, 'On asymptotic behaviour of Fourier Transformation on a convex curve', Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, no. 2, pp. 50-57.

APA

Podkorytov, A. N. (1991). On asymptotic behaviour of Fourier Transformation on a convex curve. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, (2), 50-57.

Vancouver

Podkorytov AN. On asymptotic behaviour of Fourier Transformation on a convex curve. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1991 Apr;(2):50-57.

Author

Podkorytov, A. N. / On asymptotic behaviour of Fourier Transformation on a convex curve. In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1991 ; No. 2. pp. 50-57.

BibTeX

@article{ac2f2a3c235742b9bf8234ab5ec55440,
title = "On asymptotic behaviour of Fourier Transformation on a convex curve",
abstract = "One-dimensional Fourier transformation on convex compacts boundaries is considered. Asymptotic behaviour of the Fourier transform when the independent variable in the Fourier space tends to infinity is presented. Analogs of Hertz formulas are proved without assumption of the boundary smoothness. It is shown that a remainder term tends to zero for almost all directions. Some applications of the proved result are presented.",
author = "Podkorytov, {A. N.}",
year = "1991",
month = apr,
language = "English",
pages = "50--57",
journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",
issn = "1025-3106",
publisher = "Издательство Санкт-Петербургского университета",
number = "2",

}

RIS

TY - JOUR

T1 - On asymptotic behaviour of Fourier Transformation on a convex curve

AU - Podkorytov, A. N.

PY - 1991/4

Y1 - 1991/4

N2 - One-dimensional Fourier transformation on convex compacts boundaries is considered. Asymptotic behaviour of the Fourier transform when the independent variable in the Fourier space tends to infinity is presented. Analogs of Hertz formulas are proved without assumption of the boundary smoothness. It is shown that a remainder term tends to zero for almost all directions. Some applications of the proved result are presented.

AB - One-dimensional Fourier transformation on convex compacts boundaries is considered. Asymptotic behaviour of the Fourier transform when the independent variable in the Fourier space tends to infinity is presented. Analogs of Hertz formulas are proved without assumption of the boundary smoothness. It is shown that a remainder term tends to zero for almost all directions. Some applications of the proved result are presented.

UR - http://www.scopus.com/inward/record.url?scp=0026150024&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026150024

SP - 50

EP - 57

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

SN - 1025-3106

IS - 2

ER -

ID: 86292369