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: 2019-01-30
Authors : ROBIN;
Page : 2180-2187
Keywords : proving; correct; restrictions; development; genuinely; converge;
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.
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