Abstract

The classical theorem of M. Riesz about the conjugate harmonic functions is extended onto octonion-valued monogenic functions.

Highlights

  • Introduction and Statement of the MainResultAnalytic functions of octonion variables, due to their potential, yet not completely fulfilled utility in physics [9], continue to attract the attention of researchers

  • Baez in his very readable and informative survey formulates the development of an octonionic analogue of the theory of analytic functions as the first item in his list of potential octonion-related problems

  • In this note we continue the study of this topic, see, e.g., [5, 10, 11, 13, 14] and the references therein

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Summary

Alexander Kheyfits CUNY Bronx Community College

More information about this work at: https://academicworks.cuny.edu/bx_pubs/51 Discover additional works at: https://academicworks.cuny.edu. Journal of Physics: Conference Series 670 (2016) 012017 doi:10.1088/1742-6596/670/1/012017

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