The classical Poisson summation formula 1.1 and the corresponding distribu-Ž . tional formula 1.2 have found extensive applications in various scientific fields. Ž . However, they are not universally valid. For instance, if x is a smooth function, Ž . Ž . the left-hand side of 1.1 is generally dive
✦ LIBER ✦
Analogues of Euler and Poisson summation formulae
✍ Scribed by Vivek V. Rane
- Publisher
- Indian Academy of Sciences
- Year
- 2003
- Tongue
- English
- Weight
- 117 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0253-4142
No coin nor oath required. For personal study only.
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HM 25 ## ASPECTS OF EULER'S THEORY OF SERIES 291 Le proble `me d'interpolation de Wallis attira l'attention du jeune Euler, qui obtint rapidement des re ´sultats de grand inte ´re ˆt. Il amena Euler a `formuler le proble `me d'inte ´gration consistant a `exprimer le terme ge ´ne ´ral d'une se ´ri