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Function Spaces and Spectral Theories

  • Daniel Alpay,
  • Fabrizio Colombo,
  • Irene Sabadini

摘要

In this last chapter we summarise the crucial facts regarding hyperholomorphic functions and the associated spectral theories. We summarize how the two main hyperholomorphic function theories induce, via their Cauchy formula, the spectral theory on the S-spectrum and the spectral theory on the monogenic spectrum. This stream of ideas originated the new framework of the fine structures.