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Re: heat extension commuting with multiplication
Posted:
Jun 16, 2011 8:16 AM


On 20110608, Prabhu <pjanakir1978@gmail.com> wrote: > Let f and g be two complexvalued L^2 functions on the plane. Let F, G > and H be the heat extensions of f, g and fg respectively. > > Are there ever nontrivial 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



