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2014

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On Clifford Analysis For Holomorphic Mappings, M. E. Luna-Elizarrarás, M. Shapiro, Daniele C. Struppa Jan 2014

On Clifford Analysis For Holomorphic Mappings, M. E. Luna-Elizarrarás, M. Shapiro, Daniele C. Struppa

Mathematics, Physics, and Computer Science Faculty Articles and Research

In the classical theory of several complex variables, holomorphic mappings are just n-tuples of holomorphic functions in m variables, with arbitrary n and m, and no relations between these functions are assumed. Some 30 years ago John Ryan introduced complex, or complexified, Clifford analysis which is, in a sense, the study of certain classes of holomorphic mappings where the components are not independent, and instead obey the relations generated by the Cauchy– Riemann and Dirac-type operators. In this paper, we take a closer look at this theory emphasizing some additional properties that holomorphic mappings satisfy in this context. Our attention …


Combined Effect Of Rotation And Topography On Shoaling Oceanic Internal Solitary Waves, Roger Grimshaw, Chuncheng Guo, Karl Helfrich, Vasiliy Vlasenko Jan 2014

Combined Effect Of Rotation And Topography On Shoaling Oceanic Internal Solitary Waves, Roger Grimshaw, Chuncheng Guo, Karl Helfrich, Vasiliy Vlasenko

School of Biological and Marine Sciences

No abstract provided.