Excuse me my lack of expertise, but it is very curious. Recently, I have https://www.physicsforums.com/showthread.php?t=54055", which I qualify 'absolutely amaizing' when I read it. It almost satisfies my curiosity on Laplace because I can almost understand it, except the shift operator. The author brings it from quantum physics remarking that its justification is purely mathematical (so, asking here, in 'mathematics of change and motion', I must be appropriate) and can be understood from the "series expansion of the function f(x+a) around x":(adsbygoogle = window.adsbygoogle || []).push({});

[tex]f(x + a) = \sum{ a^n f^{(n)}_x \over n!}[/tex]

What kind of expansion is it? It lacks the memberxto complement d/dx for the Taylor expansion.^{n}

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Translation operator expansion

Loading...

Similar Threads - Translation operator expansion | Date |
---|---|

I Integrating scaled and translated indicator function | Nov 20, 2017 |

I Taylor expansion of f(x+a) | Nov 1, 2017 |

I Generalizing the translation operator | Jan 25, 2017 |

Translating a linear system to have critical points at the origin? | Sep 18, 2012 |

**Physics Forums - The Fusion of Science and Community**