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math.CV2013
Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis
Daniel Alpay, María Elena Luna-Elizarrarás, Michael Shapiro +1
With the goal of providing the foundations for a rigorous study of modules of bicomplex holomorphic functions, we develop a general theory of functional analysis with bicomplex sca…
math.CV2003★ 6 cited
On boundary values for rectifiable curves of a generalization of the Cauchy-type integral related to the Helmholtz operator in
Oleg F. Gerus, Michael Shapiro
There are considered vector fields and quaternionic -hyperholomorphic functions in a domain of which generalize the notion of solenoidal and irrotational vector fields. Th…