Michael Shapiro

most citedOn boundary values for rectifiable curves of a generalization of the Cauchy-type integral related to the Helmholtz operator in

R^{2}

6 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.FA2003★ 1 cited

Rational hyperholomorphic functions in (\mathbb R^4)

D. Alpay, M. Shapiro, D. Volok

We introduce the notion of rationality for hyperholomorphic functions (functions in the kernel of the Cauchy-Fueter operator). Following the case of one complex variable, we give t…

math.CV2003★ 6 cited

On boundary values for rectifiable curves of a generalization of the Cauchy-type integral related to the Helmholtz operator in $R^{2}$

Oleg F. Gerus, Michael Shapiro

There are considered vector fields and quaternionic $α$ -hyperholomorphic functions in a domain of $R^{2}$ which generalize the notion of solenoidal and irrotational vector fields. Th…

Rational hyperholomorphic functions in (\mathbb R^4)

On boundary values for rectifiable curves of a generalization of the Cauchy-type integral related to the Helmholtz operator in R2

On boundary values for rectifiable curves of a generalization of the Cauchy-type integral related to the Helmholtz operator in $R^{2}$