Timeline for Convolution Estimates on a Smooth Manifold
Current License: CC BY-SA 3.0
4 events
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| Jul 2, 2012 at 12:44 | comment | added | Deane Yang | Thanks for providing the reference. The convolution is being done on a fixed co-ordinate chart with respect to the co-ordinates. The functions being convolved are compactly supported on the chart. So you are taking two global functions, writing them as a sum of functions that are compactly supported on co-ordinate charts. Each is smoothed using convolution of each term with a fixed mollifier on each co-ordinate chart. I encourage you to work everything out carefully yourself. | |
| Jul 2, 2012 at 12:11 | comment | added | Luca Scolari | The statement can be found in arxiv.org/pdf/0905.0370v1.pdf on page 17. | |
| Jul 2, 2012 at 10:51 | comment | added | Deane Yang | Could you say where you learned that the same estimate is true on a compact manifold and the proof is straightforward? Maybe you're misinterpreting something you read? It's not even clear how to define "convolution" on a compact manifold. | |
| Jul 2, 2012 at 10:47 | history | asked | Luca Scolari | CC BY-SA 3.0 |