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BASIC THEORY OF HILBERT SPACES TO UNDERSTAND THE CONVERGENCE OF THE FOURIER SERIES

Journal: International Journal of Mechanical Engineering and Technology(IJMET) (Vol.10, No. 1)

Publication Date:

Authors : ;

Page : 2180-2187

Keywords : proving; correct; restrictions; development; genuinely; converge;

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Abstract

The convergence of the Fourier series for square integrable functions requires an understanding of the fundamental theory of Hilbert spaces. I provide the relevant theorems and concepts for grasping the problem's Hilbert space formulations and provide some illustrative examples along the way.

Last modified: 2023-06-17 13:38:59