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Asymptotic behavior of the dirichlet kernel of fourier sums with respect to a polygon. / Podkorytov, A. N.

In: Journal of Soviet Mathematics, Vol. 42, No. 2, 07.1988, p. 1640-1646.

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

Harvard

Podkorytov, AN 1988, 'Asymptotic behavior of the dirichlet kernel of fourier sums with respect to a polygon', Journal of Soviet Mathematics, vol. 42, no. 2, pp. 1640-1646. https://doi.org/10.1007/BF01665052

APA

Podkorytov, A. N. (1988). Asymptotic behavior of the dirichlet kernel of fourier sums with respect to a polygon. Journal of Soviet Mathematics, 42(2), 1640-1646. https://doi.org/10.1007/BF01665052

Vancouver

Podkorytov AN. Asymptotic behavior of the dirichlet kernel of fourier sums with respect to a polygon. Journal of Soviet Mathematics. 1988 Jul;42(2):1640-1646. https://doi.org/10.1007/BF01665052

Author

Podkorytov, A. N. / Asymptotic behavior of the dirichlet kernel of fourier sums with respect to a polygon. In: Journal of Soviet Mathematics. 1988 ; Vol. 42, No. 2. pp. 1640-1646.

BibTeX

@article{16c51d5b399c49a6b1776b7f6f287e80,
title = "Asymptotic behavior of the dirichlet kernel of fourier sums with respect to a polygon",
abstract = "One investigates the behavior for R→+∞ of the two-dimensional Dirichlet kernels[Figure not available: see fulltext.], where W⊂ℝ2 is a fixed polygon. It is known that[Figure not available: see fulltext.] for any polygon, and[Figure not available: see fulltext.][Figure not available: see fulltext.], if the coordinates of all the vertices of W are rational numbers. It is shown that in the general case the second result is not true: there exists a triangle W such that[Figure not available: see fulltext.].",
author = "Podkorytov, {A. N.}",
year = "1988",
month = jul,
doi = "10.1007/BF01665052",
language = "English",
volume = "42",
pages = "1640--1646",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Asymptotic behavior of the dirichlet kernel of fourier sums with respect to a polygon

AU - Podkorytov, A. N.

PY - 1988/7

Y1 - 1988/7

N2 - One investigates the behavior for R→+∞ of the two-dimensional Dirichlet kernels[Figure not available: see fulltext.], where W⊂ℝ2 is a fixed polygon. It is known that[Figure not available: see fulltext.] for any polygon, and[Figure not available: see fulltext.][Figure not available: see fulltext.], if the coordinates of all the vertices of W are rational numbers. It is shown that in the general case the second result is not true: there exists a triangle W such that[Figure not available: see fulltext.].

AB - One investigates the behavior for R→+∞ of the two-dimensional Dirichlet kernels[Figure not available: see fulltext.], where W⊂ℝ2 is a fixed polygon. It is known that[Figure not available: see fulltext.] for any polygon, and[Figure not available: see fulltext.][Figure not available: see fulltext.], if the coordinates of all the vertices of W are rational numbers. It is shown that in the general case the second result is not true: there exists a triangle W such that[Figure not available: see fulltext.].

UR - http://www.scopus.com/inward/record.url?scp=34250090249&partnerID=8YFLogxK

U2 - 10.1007/BF01665052

DO - 10.1007/BF01665052

M3 - Article

AN - SCOPUS:34250090249

VL - 42

SP - 1640

EP - 1646

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 86292465