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Poisson summation formula

{c}

For a Schwartz function under the convention $\widehat f(y)=\int_{\mathbb R^n}f(x)e^{-2\pi i\langle x,y\rangle},dx$,
$$
\sum_{\lambda\in\Lambda}f(\lambda)
=m(\Lambda)^{-1}\sum_{\mu\in\Lambda^\vee}\widehat f(\mu).
$$


Poisson summation formula for a Euclidean lattice

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 137 / 4 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 137 / 4 / c / Solution

Poisson summation formula for a Euclidean lattice

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Poisson summation formula for a Euclidean lattice

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