Complex analysis is one of the most interesting areas in mathematics. Methods of complex
function theory have proven to be useful for the treatment of plane problems of mathematical …

On the left linear Riemann problem in Clifford analysis Page 1 On the left linear Riemann
problem in Clifford analysis Swanhild Bernstein Abstract We consider a left-linear analogue to …

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 …

We consider factorizations of the stationary and non-stationary Schrödinger equation in
which are based on appropriate Dirac operators. These factorizations lead to a Miura …

Let Cl0, n be the Clifford algebra generated by the elements e1, e2,..., en with the
determining properties eiej+ ejei=− 2δije0, where δij is the Kronecker symbol and e0 the unit …

As is the case for the Laplace operator, in Euclidean Clifford analysis also the Helmholtz
operator can be factorized, more precisely by using perturbed Dirac operators. In this paper …

This paper is dedicated to the study of a modification of the Teodorescu transform which is
related as right inverse operator to the generalized Dirac operator. Its kernal function will be …

Over more than a century, quaternionic analysis has been proven to be a very efficient toolkit
to treat large classes of boundary value problems in almost all areas of physics and …

We investigate a spatial modified Miura transform. To describe this transform we have to
solve a non-linear first-order system of partial differential equations. This investigation will be …

A large number of interesting physical applications, for instance problems in elasticity theory
of shells and in gas dynamics, lead to the so-called Vekua type problems. First complete …