MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4).
2

1

For elliptic differential operators $P$ on a compact manifold $M$, we have the formula

$$\mathrm{ind}(D) = \mathrm{tr}(e^{-tP^*P}) - \mathrm{tr}(e^{-tPP^{\star}})$$

I would think that this holds for Pseudo-Differential operators of positive order as well, but no text book states that. Is it not true? If not, what goes wrong?

flag
1 
 You only need $P$ to be an elliptic ps.d.o. on a compact manifold. – Liviu Nicolaescu Oct 7 at 15:14
Ok, two things that I keep forgetting to mention. Thank you! – Kofi Oct 7 at 23:31

Your Answer

Get an OpenID
or

Browse other questions tagged or ask your own question.