A Poisson "Half-Summation" Formula
<p>A generalization of Poisson's summation formula is derived - in a non-rigorous way - allowing evaluation of sums from 1 (or any finite integer) ∞ instead of the usual range -∞+∞. This is achieved in two ways, either by introducing a converging factor in a geometric series of exponentia...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Published: |
Annals of Mathematics and Physics - Peertechz Publications,
2022-06-25.
|
| Subjects: | |
| Online Access: | Connect to this object online. |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
MARC
| LEADER | 00000 am a22000003u 4500 | ||
|---|---|---|---|
| 001 | peertech__10_17352_amp_000041 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a R Rosenfelder |e author |
| 245 | 0 | 0 | |a A Poisson "Half-Summation" Formula |
| 260 | |b Annals of Mathematics and Physics - Peertechz Publications, |c 2022-06-25. | ||
| 520 | |a <p>A generalization of Poisson's summation formula is derived - in a non-rigorous way - allowing evaluation of sums from 1 (or any finite integer) ∞ instead of the usual range -∞+∞. This is achieved in two ways, either by introducing a converging factor in a geometric series of exponential functions and letting it approach zero in a controlled way or by applying a Hilbert transform to the series. Several examples illustrate its usefulness in the evaluation of series and specific applications. </p> | ||
| 540 | |a Copyright © R Rosenfelder et al. | ||
| 546 | |a en | ||
| 655 | 7 | |a Review Article |2 local | |
| 856 | 4 | 1 | |u https://doi.org/10.17352/amp.000041 |z Connect to this object online. |