A discrete analog of the Poisson summation formula (Q1810279)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A discrete analog of the Poisson summation formula |
scientific article; zbMATH DE number 1928364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discrete analog of the Poisson summation formula |
scientific article; zbMATH DE number 1928364 |
Statements
A discrete analog of the Poisson summation formula (English)
0 references
15 June 2003
0 references
The author presents a discrete analog of the Poisson summation formula, which relates the sum of the values of a function at the nodes of a spaced-out uniform grid to the sum of its finite Fourier coefficients. As an application of this formula an elementary proof of the functional equation for the theta function \(\theta(t) = \sum_{n = - \infty}^{\infty} \, e^{- \pi t \, n^2}\) is given.
0 references
