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Title:
discrete fourier analysis with lattices on planar domains
Author: Li Huiyuan ; Sun Jiachang ; Xu Yuan
Conference Name: 2nd Dolomites Workshop on Constructive Approximation and Applications (DWCAA09)
Conference Date: SEP 04-08,
Issued Date: 2010
Conference Place: Verona, ITALY
Keyword: Discrete Fourier series ; Trigonometric ; Lattices ; Cubature ; Interpolation
Publisher: NUMERICAL ALGORITHMS
Publish Place: VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
ISSN: 1017-1398
Department: Xu, Yuan Univ Oregon, Dept Math, Eugene, OR 97403 USA. Li, Huiyuan; Sun, Jiachang Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China.
Sponsorship: Alba Canazei
English Abstract: A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other determining the family of exponential functions. Possible choices of lattices are discussed in the case of lattices that tile R-2 and several new results on cubature and interpolation by trigonometric, as well as algebraic, polynomials are obtained.
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Content Type: 会议论文
URI: http://ir.iscas.ac.cn/handle/311060/8734
Appears in Collections:计算机科学国家重点实验室 _会议论文

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Recommended Citation:
Li Huiyuan,Sun Jiachang,Xu Yuan. discrete fourier analysis with lattices on planar domains[C]. 见:2nd Dolomites Workshop on Constructive Approximation and Applications (DWCAA09). Verona, ITALY. SEP 04-08,.
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