A Simple Proof of the Uniform Convergence of Fourier Series in Solutions to the Wave Equation
classification
🧮 math.AP
math-phmath.CAmath.MP
keywords
equationfourierserieswaveboundaryclosedconditionsconvergence
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Using nonstandard methods, we show that the time dependent Fourier series of any smooth function F, solving the wave equation, on a finite closed interval, with vanishing boundary conditions, converges uniformly to F.
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