Pointwise Convergence — Topic Summaries
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Real Analysis 24 | Pointwise Convergence [dark version]
Pointwise convergence can look “well-behaved” on every fixed input, yet still produce a limit function with surprising features—so it’s not strong...
Fourier Transform 18 | Dirichlet Kernel
Dirichlet kernel DN sits at the heart of Fourier series: it turns a Fourier partial sum into an integral (or convolution/inner product) against DN,...
Fourier Transform 17 | Pointwise Convergence of Fourier Series
Fourier series don’t just converge in an average (L2) sense—they also converge point-by-point under a set of local “one-sided” smoothness conditions....
Fourier Transform 18 | Dirichlet Kernel [dark version]
Dirichlet kernel D_n sits at the heart of Fourier series: it turns a partial Fourier sum into an integral (or convolution/inner product) built from...