Talk:Theta function

Application

Is there some canonical use for this that I simply can't see? Perhaps in physics or some `simple' math. 19:28, 12 Feb 2005 User:Ub3rm4th

OK, I added a section on the heat equation and also the Heisenberg group. Does that work for you? Its also studied in quantum field theory specifically D-branes and string theory.linas 04:21, 2 Mar 2005 (UTC)

theta function gives green's function for heat equation ? i dont get the proof.

In Mumford's paper they say theta function gives fundamental solution to the heat equation. To show that i miss the differential operator of the heat equation applied to the theta-function (distribution) for t=0. You say (and Mumford shows) that lim{t->0} theta(x, it) = delta(x) . but what does that help for showing its a fundamental solution?? (unsigned anonymous post 1 jan 2006)

I don't understand the question being asked. Can you rephrase? linas 23:53, 3 January 2006 (UTC)[reply]

i think it must be shown: Heat(theta(x, it)){t->0} = delta(x)delta(t) in order to show that theta(x, it) is a fundamental solution, where Heat() shell be the differential operator of the heat equation.