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- W2497029098 abstract "In this chapter we introduce the method of Fourier series for the analysis of periodic waveforms (e.g., power signals). This approach reduces the signal being studied to a spectral representation in which the distribution of power is found to be concentrated at specific frequencies that are harmonically related to a fundamental frequency. In addition, we discuss the related notion of eigenvalue problem for homogeneous boundary value problems, the eigenfunctions of which are used to develop generalized Fourier series. Last, the method of Green's function is introduced for solving nonhomogeneous problems (including eigenvalue problems). By representing the Green's function in a bilinear representation, we amalgamate the theory of Fourier series and eigenvalue problems with that of the Green's function method." @default.
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- W2497029098 date "2009-10-22" @default.
- W2497029098 modified "2023-09-25" @default.
- W2497029098 title "Fourier Series, Eigenvalue Problems, and Green's Function" @default.
- W2497029098 doi "https://doi.org/10.1117/3.467443.ch8" @default.
- W2497029098 hasPublicationYear "2009" @default.
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