Timeline for Interpretation of a parameter in forming a pseudodifferential operator
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 24, 2012 at 8:13 | vote | accept | Christopher A. Wong | ||
| Oct 21, 2012 at 21:09 | comment | added | Bazin | This business has to do with the $J^t=\exp{itD_x\cdot D_\xi}$: the adjoint of $op_t(a)=op(J^t a)$ is $op_{1-t}(\overline a)$, so somehow the only way to have full stability with respect to taking adjoints is indeed the Weyl choice. Of course, you have always asymptotic stability for good classes of symbols, say up to $h^\infty$ in the semi-classical case, but it is not very satisfactory at the algebraic level. | |
| Oct 20, 2012 at 2:54 | comment | added | Christopher A. Wong | Any ideas where interesting problems/applications might arise where we use the quantization with various $t$ besides the ones mentioned? | |
| Oct 14, 2012 at 13:36 | history | answered | Bazin | CC BY-SA 3.0 |