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| HILBERT-DIRAC OPERATORS INCLIFFORD ANALYSIS |
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Citation： |
F. BRACKX,H. De SCHEPPER.HILBERT-DIRAC OPERATORS INCLIFFORD ANALYSIS[J].Chinese Annals of Mathematics B,2005,26(1):1~14 |
| Page view： 1293
Net amount： 852 |
Authors： |
F. BRACKX; H. De SCHEPPER |
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| Abstract： |
Around the central theme of ``square root'' of the Laplace
operator it is shown that the classical Riesz potentials of the
first and of the second kind allow for an explicit expression of
so-called Hilbert-Dirac convolution operators involving natural
and complex powers of the Dirac operator. |
Keywords： |
Clifford analysis, Riesz potentials, Hilbert transformation, Distributions |
Classification： |
30G35, 46F10 |
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