On nonspherical partial sums of fourier integrals of continuous functions from the Sobolev spaces

The partial integrals of the N-fold Fourier integrals connected with elliptic polynomials (not necessarily homogeneous; principal part of which has a strictly convex level surface) are considered. It is proved that if a + s > (N – 1)/2 and ap = N then the Riesz means of the nonnegati...

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Bibliographic Details
Main Author: Ashurov, Ravshan
Format: Article
Language:English
Published: Universiti Putra Malaysia Press 2011
Online Access:http://psasir.upm.edu.my/id/eprint/40412/1/On%20Nonspherical%20Partial%20Sums%20of%20Fourier%20Integrals%20of%20Continuous.pdf
http://psasir.upm.edu.my/id/eprint/40412/
http://www.pertanika.upm.edu.my/Pertanika%20PAPERS/JST%20Vol.%2019%20%28S%29%20Oct.%202011/07%20Pg%2011-14.pdf
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Institution: Universiti Putra Malaysia
Language: English