Matches in DBpedia 2014 for { ?s ?p In mathematical analysis, the Dirichlet kernel is the collection of functionsIt is named after Peter Gustav Lejeune Dirichlet.The importance of the Dirichlet kernel comes from its relation to Fourier series. The convolution of Dn(x) with any function f of period 2π is the nth-degree Fourier series approximation to f, i.e., we havewhereis the kth Fourier coefficient of f. This implies that in order to study convergence of Fourier series it is enough to study properties of the Dirichlet kernel.. }
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- Dirichlet_kernel comment "In mathematical analysis, the Dirichlet kernel is the collection of functionsIt is named after Peter Gustav Lejeune Dirichlet.The importance of the Dirichlet kernel comes from its relation to Fourier series. The convolution of Dn(x) with any function f of period 2π is the nth-degree Fourier series approximation to f, i.e., we havewhereis the kth Fourier coefficient of f. This implies that in order to study convergence of Fourier series it is enough to study properties of the Dirichlet kernel.".