In this paper, we consider functions satisfying the sandwich equation∂ x _ f∂ x _= 0,
where∂ x _ stands for the Dirac operator in R m. Such functions are referred as …

Harmonic functions are the solutions of the second-order partial differential equation∂ x ̲∂
x ̲ u= 0, where∂ x ̲ stands for the Dirac operator factorizing the Laplacian in R m. In this …

Clifford analysis offers suited framework for a unified treatment of higher-dimensional
phenomena. This paper is concerned with boundary value problems for higher order Dirac …

In this paper we study the Dirichlet problem in the ball for the so-called inframonogenic
functions, ie the solutions of the sandwich equation∂ x _ f∂ x _= 0, where∂ x _ stands for …

Solutions of the sandwich equation^ ϕ\! ∂ f^ ψ\! ∂= 0 ϕ∂ ̲ f ψ∂ ̲= 0, where^ ϕ\! ∂ ϕ∂
̲ stands for the Dirac operator with respect to a structural set ϕ ϕ, are referred to as (ϕ …

This paper deals with the inframonogenic functions which are solutions of the sandwich
equation D f D= 0, where D is the Dirac operator in R n. The inframonogenic functions plays …

We investigate a generalization of the equation curl w→= g→ to an arbitrary number n of
dimensions, which is based on the well-known Moisil–Teodorescu differential operator …

Euclidean Clifford analysis has become a well‐established theory of monogenic functions in
higher‐dimensional Euclidean space with a variety of applications both inside and outside …

In this paper, firstly, we study the continuity of Cauchy-type integral operator C Γ infra
associated with inframonogenic functions and give the Plemelj formula. Secondly, we prove …

In this paper we derive a Cauchy integral representation formula for the solutions of the
iterated sandwich equation ∂ _ x^ 2k-1 f ∂ _ x= 0∂ x ̲ 2 k-1 f∂ x ̲= 0, where k is a …