Timeline for Existence of eigen basis for elliptic operator on compact manifold
Current License: CC BY-SA 4.0
3 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Mar 16, 2023 at 11:47 | answer | added | mcd | timeline score: 3 | |
Mar 16, 2023 at 10:39 | comment | added | Igor Khavkine | I don't have a canonical reference, but by my recollection the underlying logic is that $D$ has a compact resolvent and the properties that you want follow from the spectral properties of (normal/self-adjoint) compact operators. The compactness follows from the representation of the resolvent as an integral kernel, possibly checking that it is Hilbert-Schmidt. | |
Mar 16, 2023 at 10:03 | history | asked | asv | CC BY-SA 4.0 |