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Sep 22, 2012 at 16:10 comment added Liviu Nicolaescu I prefer answers to comments for three technical reasons: I can easily detect my TeX errors, I can edit typos and errors, and I do not have an upper limit on the number of characters I can use. In any case, sumability techniques are frequently used in harmonic analysis, and Hardy's book seems to cover the most useful ones. In particular, there you can find a comparison of their strengths. I have to close here since I am reaching my allowed upper limit of characters.
Sep 22, 2012 at 14:59 comment added Ken I appreciate your interest, but the answer you gave would have been better left as a comment. Many of us are tempted to be the first to answer a question to achieve self-actualization and earn points on MathOverflow (myself included), but for open problems such as this one, slow and steady wins the race.
Sep 21, 2012 at 18:45 history answered Liviu Nicolaescu CC BY-SA 3.0