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Dirichlet Kernel


The Dirichlet kernel D_n^M is obtained by integrating the number theoretic character e^(i<xi,x>) over the ball |xi|<=M,

 D_n^M=-1/(2pir)d/(dr)D_(n-2)^M.

See also

Delta Sequence, Dirichlet Integrals, Dirichlet's Lemma

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Cite this as:

Weisstein, Eric W. "Dirichlet Kernel." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DirichletKernel.html

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