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discrete fourier analysis with lattices on planar domains
Li Huiyuan; Sun Jiachang; Xu Yuan
2010
Conference Name2nd Dolomites Workshop on Constructive Approximation and Applications (DWCAA09)
Pages279-300
Conference DateSEP 04-08,
Conference PlaceVerona, ITALY
Publish PlaceVAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
PublisherNUMERICAL ALGORITHMS
ISSN1017-1398
DepartmentXu, Yuan Univ Oregon, Dept Math, Eugene, OR 97403 USA. Li, Huiyuan; Sun, Jiachang Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China.
English AbstractA 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.
KeywordDiscrete Fourier Series Trigonometric Lattices Cubature Interpolation
SponsorshipAlba Canazei
WOS IDWOS:000281792800010
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Content Type会议论文
URIhttp://ir.iscas.ac.cn/handle/311060/8734
Collection基础软件与系统重点实验室
Recommended Citation
GB/T 7714
Li Huiyuan,Sun Jiachang,Xu Yuan. discrete fourier analysis with lattices on planar domains[C]. VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS:NUMERICAL ALGORITHMS,2010:279-300.
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