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Topic: Re: heat extension commuting with multiplication
Replies: 2   Last Post: Jun 20, 2011 8:03 AM

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Ilya Zakharevich

Posts: 152
Registered: 12/13/04
Re: heat extension commuting with multiplication
Posted: Jun 16, 2011 8:16 AM
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On 2011-06-08, Prabhu <pjanakir1978@gmail.com> wrote:
> Let f and g be two complex-valued L^2 functions on the plane. Let F, G
> and H be the heat extensions of f, g and fg respectively.
>
> Are there ever non-trivial f and g such that H = FG ?
>
> (I believe the answer is NO; but how does one establish this?)


Analyse when F,G,FG are all harmonic.

Hope this helps,
Ilya



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