Fourier Multipliers and Singular Integrals on \(\mathbb {C}^{n}\)



In this chapter, we introduce a class of singular integral operators on the n-complex unit sphere. This class of singular integral operators corresponds to bounded Fourier multipliers. Similar to the results of Chaps.  6 and  7, we also develop the fractional Fourier multiplier theory on the unit complex sphere.


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© Springer Nature Singapore Pte Ltd. and Science Press 2019

Authors and Affiliations

  1. 1.Macau Institute of Systems EngineeringMacau University of Science and TechnologyMacaoChina
  2. 2.School of Mathematics and StatisticsQingdao UniversityQingdaoChina

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