Quaternions ?
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From: Andrew Usher on 23 Feb 2010 07:19 Frederick Williams wrote: > We find doubly periodic functions (of one variable) in complex analysis, > might we then find triply and quadruply periodic functions in > "quaternionic analysis" (supposing there is such a thing)? What about > n-tuply periodic functions (of one variable) for n = 5, 6, ...? No. Over the quaternions, the only differentiable functions are linear, and thus not periodic. There's a proof somewhere on the internet. I suppose this to be true to all real algebrae other than R and C. Andrew Usher |