@Article{JCM-21-53,
author = {Jiachang Sun},
title = {Multivariate Fourier Series over a Class of Non Tensor-Product Partition Domains},
journal = {Journal of Computational Mathematics},
year = {2003},
volume = {21},
number = {1},
pages = {53--62},
abstract = {<p style="text-align: justify;">This paper finds a way to extend the well-known Fourier methods, to so-called n+1 directions partition domains in n-dimension. In particular, in 2-D and 3-D cases, we study Fourier methods over 3-direction parallel hexagon partitions and 4-direction parallel parallelogram dodecahedron partitions, respectively. It has pointed that, the most concepts and results of Fourier methods on tensor-product case, such as periodicity, orthogonality of Fourier basis system, partial sum of Fourier series and its approximation behavior, can be moved on the new non tensor-product partition case.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/10282.html}
}