POINTWISE CONVERGENCE OF MULTIPLE FOURIER-SERIES - SUFFICIENT CONDITIONS AND AN APPLICATION TO NUMERICAL-INTEGRATION

被引：1

作者：

PRICE, JF ^{[1
]}

SLOAN, IH ^{[1
]}

机构：

[1] UNIV NEW S WALES,SCH MATH,SYDNEY,NSW 2033,AUSTRALIA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1992年 / 169卷 / 01期

关键词：

D O I：

10.1016/0022-247X(92)90108-P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions are established for the pointwise convergence of square partial sums of multiple Fourier series, in any number of dimensions, for functions with discontinuities. The result is used to extend the theory of lattice rules for multiple integration. © 1992.

引用

页码：140 / 156

页数：17

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