Publication Date:
2006-01-01
Description:
Two specific generalizations of the multidimensional Hilbert transform in Clifford analysis are constructed. It is shown that though in each of these generalizations some traditional properties of the Hilbert transform are inevitably lost, new bounded singular operators emerge on Hilbert or Sobolev spaces ofL2-functions.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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