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Marcinkiewicz interpolation theorem
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Fourier Transforms: Properties and Applications
Explores Fourier transforms, including properties, convolution, Parseval's theorem, and energy spectral density for non-periodic functions.
Fourier Series: Examples
Explores examples of Fourier series coefficients and applications in various functions.
Spectral Properties of Fourier Series and Fourier Transforms
Explores the motivation behind Fourier series and transforms, their fundamentals, and applications in solving differential equations.
Solving unbounded PDE's using Fourier Transforms and Convolution: Obtaining the d'Alembert solution of the wave equation
Explores elementary properties of Fourier Transforms, convolution, Parseval's Theorem, and the d'Alembert solution of the wave equation using Fourier Transforms and convolution.
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