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Parseval定理在广义积分中的应用
引用本文:李小平,牛旭.Parseval定理在广义积分中的应用[J].塔里木农垦大学学报,2009,21(3):30-32.
作者姓名:李小平  牛旭
作者单位:塔里木大学信息工程学院,新疆,阿拉尔,843300
摘    要:本文从Fourier级数的展开式及Fourier变换两个角度出发,利用Parseval定理分别求解了在工程物理学及信号分析学中常用到的两类积分。这两类积分的求解,不仅给广义积分的求解提供了新的思路,而且丰富了Parseval定理的应用。

关 键 词:Fourier级数  Fourier变换  Parseval定理  广义积分

Parseval Theorem in the Application of Solving the Generalized Integrals
Li Xiaoping Niu Xu.Parseval Theorem in the Application of Solving the Generalized Integrals[J].Journal of Tarim University of Agricultural Reclamation,2009,21(3):30-32.
Authors:Li Xiaoping Niu Xu
Institution:Li Xiaoping Niu Xu (College of Information Engineering, Tarim University, Alar, Xinjiang 843300)
Abstract:From the two angles of Fourier series expansions and Fourier transform, this paper solves two kinds of integrals which are often used in the engineering physics and the signal analysis by Parseval theorem. Not only a new method about the generalized integrals is obtained, but also the application of Parseval theorem bas been enriched.
Keywords:Fourier series  Fourier transform  Parseval theorem  Generalized integrals
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