Timeline for Is this a pseudodifferential operator?
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
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Apr 21, 2021 at 3:39 | vote | accept | geometricK | ||
Apr 21, 2021 at 3:39 | |||||
Apr 17, 2021 at 12:09 | answer | added | Bazin | timeline score: 2 | |
Jun 9, 2018 at 3:55 | comment | added | Deane Yang | For an arbitrary power, It might be a nontrivial theorem but proving that the square of a pseudodifferential and operator and the square root of a positive pseudodifferential operator are pseudodifferential is straightforward using the symbol calculus. | |
Jun 9, 2018 at 3:24 | comment | added | geometricK | But, for instance, it is a non-trivial result of Seeley in the setting of a compact manifold that powers of elliptic operators are still pseudodifferential. I guess I'm asking a version of the question "does Seeley's result work in the non-compact setting?" | |
Jun 8, 2018 at 18:50 | comment | added | Deane Yang | Yes. All of the operations used to define $A$ in terms of $D$ are well defined in the space of pseudodifferential operators. | |
S Jun 8, 2018 at 17:27 | history | suggested | Ali Taghavi |
I add a tag.
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Jun 8, 2018 at 16:51 | review | Suggested edits | |||
S Jun 8, 2018 at 17:27 | |||||
Jun 8, 2018 at 16:22 | history | asked | geometricK | CC BY-SA 4.0 |