A quaternionic bernstein theorem

HIGHLIGHTS

  • who: Alessandro Perotti from the (UNIVERSITY) have published the paper: A Quaternionic Bernstein Theorem, in the Journal: (JOURNAL)
  • what: The authors show that a quaternionic version of Theorem (B) holds true only after imposing an assumption on the second polynomial (Theorem 2.1). The authors show that a similar interpretation is possible in four dimensions, by means of an Almansi-type decomposition of quaternionic polynomials and its relation with zonal harmonics in R4.

SUMMARY

    The ring H[X] of quaternionic polynomials is defined by fixing the position of the coefficients with . . .

     

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