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L_1∩L_P(P>1)函数类的Fourier变换的乘子

Multipliers of Fourier Transform of the L_1∩L_P(P>1) Function Class
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摘要 该文讨论了L1∩LP(P>1)函数类的Fourier变换的乘子,给出了一个复函数为L1∩LP(P>1)函数和实直线上的相关函数的Fourier变换乘子的充分必要条件. Multipliers of Fourier transform of L_1∩L_P(P>1) are discussed. A series of necessary and sufficient conditions for a complex-valued function being a multiplier of L_1∩L_P(P>1) function (classes) and related (classes) on a real line are obtained.
作者 杨澍城
机构地区 上海大学理学院
出处 《上海大学学报(自然科学版)》 CAS CSCD 2004年第6期590-594,共5页 Journal of Shanghai University:Natural Science Edition
关键词 FOURIER变换 乘子 LI∩LP(P〉1)函数 Fourier transform multiplier L_1∩L_P(P>1) function
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参考文献9

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