Order of Magnitude of Multiple Fourier Coefficients

Order of Magnitude of Multiple Fourier Coefficients

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摘要 The order of magnitude of multiple Fourier coefficients of complex valued functions of generalized bounded variations like （∧^1,.. .,∧^N）BV^（p） and r-BV, over [0,2π]^ N, are estimated. The order of magnitude of multiple Fourier coefficients of complex valued functions of generalized bounded variations like （∧^1,.. .,∧^N）BV^（p） and r-BV, over [0,2π]^ N, are estimated.

作者 R.G.Vyas K.N.Darji

机构地区 Department of Mathematics Department of Science and Humanity

出处《Analysis in Theory and Applications》 2013年第1期27-36,共10页 分析理论与应用（英文刊）

关键词 Order of magnitude of multiple Fourier coefficients function of （∧^1 .. . ∧^N）BV^（p） r-BV Lip（p α1 …αN）. Order of magnitude of multiple Fourier coefficients, function of （∧^1,.. .,∧^N）BV^（p） , r-BV,Lip（p α1,…αN）.

分类号 O174.2 [理学—基础数学]

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1A. N. Bakhvalov, Fourier coefficients of functions from many-dimensional classes of bounded A-variation, Moscow Univ. Math. Bulletin, 66(1) (2011), 8-16.
2M. I. Dyachenko and D. Waterman, Convergence of double Fourier series and W-classes, Trans. Amer. Math. Soc., 357(1) (2004), 397-407.
3V. Fiil6p and F. M6ricz, Order of magnitude of multiple Fourier coefficients of functions of bounded variation, Acta Math. Hungar., 104(1-2) (2004), 95-104.
4E M6ricz and A. Veres, On the absoiute convergence of multiple Fourier series, Acta Math. Hungar., 117(3) (2007), 275-292.
5M. Schramm and D. Waterman, On the magnitude of Fourier coefficients, Proc. Amer. Math. Soc., 85 (1982), 407-410.
6J. R. Patadia and R. G. Vyas, Fourier series with small gaps and functions of generalized variations, J. Math. Anal. Appl., 182(1) (1994), 113-126.

1简金宝,梁远信.两类线性系统的两个优化算法[J].广西大学学报（自然科学版）,1999,24(2):108-111.
2王雅玡,贾志洋,高炜.半监督超图正则拉普拉斯降维条件下分类算法广义界分析[J].南通大学学报（自然科学版）,2013,12(2):57-61.
3Cai Yingchun (Department of Mathematics,Shandong Normal University,Jinan 250014,China).On the Distribution and Moments of the Fourier Coefficients of Cusp Forms[J].Acta Mathematica Sinica,English Series,1997,13(3):289-294.
4赵慧秀.一类非线性椭圆方程等值面边值问题[J].南京理工大学学报,2002,26(6):658-661.
5Yoshifumi Ukita,Toshiyasu Matsushima.A Note on Relation between the Fourier Coefficients and the Effects in the Experimental Design[J].通讯和计算机（中英文版）,2012,9(7):830-836. 被引量：1
6谢庭藩.ON L^1-APPROXIMATION OF THE FUNCTIONS WITH QUASI-MONOTONE FOURIER COEFFICIENTS[J].Chinese Science Bulletin,1983,28(3):294-297.
7梁远信.变量有广义界线性规划的叠累单纯形法[J].经济数学,2001,18(2):79-87.
8简金宝,罗雁,徐庆娟.Hooke-Jeeves方法在简单约束优化中的推广[J].广西科学,2005,12(2):81-84. 被引量：4
9Cai Yingchun Department of Mathematics, Shandong Normal University, Jinan 250014, China.On the Third and Fourth Power Moments of Fourier Coefficients of Cusp Forms[J].Acta Mathematica Sinica,English Series,1997,13(4):443-452. 被引量：2
10Hui Xue LAO.The Cancellation of Fourier Coefficients of Cusp Forms over Different Sparse Sequences[J].Acta Mathematica Sinica,English Series,2013,29(10):1963-1972. 被引量：4

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Order of Magnitude of Multiple Fourier Coefficients

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