Generalized multidimensional Hilbert transforms in Clifford analysis
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/98145 |
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| Summary: | 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 of
L2-functions. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |