Kneser's Super Logarithm
#5
(06/02/2009, 10:04 AM)Kouznetsov Wrote:
(06/02/2009, 09:24 AM)bo198214 Wrote:
(06/02/2009, 03:10 AM)Kouznetsov Wrote: About Kneser's expansion: it would be good to check, that we evaluate the same function expanding it at fixed point L and doing that at L^*....
Yes, there are singularities at the real axis at \( \exp^{[n]}(0) \). But thats only an intermediate step of Kneser's construction.
It is sufficient to show that the two expansions coincide along any segment of positive length. Then the two functions coincide in the whole range of the holomorphizm.

They dont coincide, because they are not real at the real axis.
Kneser's trick is to prepend a conformal mapping, that makes it real at the real axis.
Please have a look into my previous posts in this thread.


Moderator's note: I moved the two previous posts from thread overview paper co-author inviation to here.
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Messages In This Thread
Kneser's Super Logarithm - by bo198214 - 11/19/2008, 02:20 PM
RE: Kneser's Super Logarithm - by bo198214 - 11/19/2008, 03:25 PM
RE: Kneser's Super Logarithm - by sheldonison - 01/23/2010, 01:01 PM
RE: Kneser's Super Logarithm - by mike3 - 01/25/2010, 06:35 AM
RE: Kneser's Super Logarithm - by sheldonison - 01/25/2010, 07:42 AM
RE: Kneser's Super Logarithm - by mike3 - 01/26/2010, 06:24 AM
RE: Kneser's Super Logarithm - by sheldonison - 01/26/2010, 01:22 PM
RE: Kneser's Super Logarithm - by mike3 - 01/27/2010, 06:28 PM
RE: Kneser's Super Logarithm - by sheldonison - 01/27/2010, 08:30 PM
RE: Kneser's Super Logarithm - by mike3 - 01/28/2010, 08:52 PM
RE: Kneser's Super Logarithm - by sheldonison - 01/28/2010, 10:08 PM
RE: Kneser's Super Logarithm - by mike3 - 01/29/2010, 06:43 AM
RE: Kneser's Super Logarithm - by bo198214 - 01/26/2010, 11:19 PM
RE: Kneser's Super Logarithm - by sheldonison - 01/27/2010, 07:51 PM
RE: Kneser's Super Logarithm - by bo198214 - 11/22/2008, 06:11 PM
RE: Kneser's Super Logarithm - by bo198214 - 11/23/2008, 01:00 PM

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