Timeline for Two questions on Elias Stein paper (1976)
Current License: CC BY-SA 3.0
6 events
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Apr 22, 2016 at 1:15 | history | edited | Mark Lewko | CC BY-SA 3.0 |
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Apr 22, 2016 at 0:50 | history | edited | Mark Lewko | CC BY-SA 3.0 |
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Apr 21, 2016 at 19:23 | comment | added | Todd Trimble | @TerryTao (and/or Mark Lewko): do you have a good idea which paper(s) the OP is referring to (in the versions of the question before the edit by Leitão)? I suppose an answer to that would also answer the question of whom he is addressing. | |
Apr 21, 2016 at 17:42 | comment | added | Terry Tao | It may be that the OP is interested in "variable coefficient" versions of these theorems suitable for curved manifolds such as $S^2$. In this case one can look at Chapter XI.3 of Stein's "Harmonic analysis", which basically shows that the results of Stein extend to variable coefficient settings so long as a "rotational curvature" condition is satisfied. In 2D one needs a "cinematic curvature" condition; see Chapter XI.4.D of Stein. | |
Apr 21, 2016 at 17:33 | history | edited | Terry Tao | CC BY-SA 3.0 |
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Apr 21, 2016 at 12:07 | history | answered | Mark Lewko | CC BY-SA 3.0 |