Abstract
We develop a Borel-Pompeiu formula for functions in several complex variables using Clifford analysis. The obtained formula contains the BochnerMartinelli formula and additional information. The Borel-Pompeiu formula will be used for a new inverse scattering transform in multidimensions.
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Bernstein, S. (2000). A Borel-Pompeiu Formula in ℂn and Its Application to Inverse Scattering Theory. In: Ryan, J., Sprößig, W. (eds) Clifford Algebras and their Applications in Mathematical Physics. Progress in Physics, vol 19. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1374-1_7
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DOI: https://doi.org/10.1007/978-1-4612-1374-1_7
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7119-2
Online ISBN: 978-1-4612-1374-1
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