[For the entire collection see Zbl 0742.00067.]We are interested in partial differential equations on domains in ${𝒞}^n$. One of the most natural questions is that of analytic continuation of solutions and domains of holomorphy. Our aim is to describe the domains of holomorphy for solutions of the complex Laplace and Dirac equations. We call them cells of harmonicity. We deduce their properties mostly by examining geometrical properties of the characteristic surface (which is the same for both equations),...

[For the entire collection see Zbl 0742.00067.]For the purpose of providing a comprehensive model for the physical world, the authors set up the notion of a Clifford manifold which, as mentioned below, admits the usual tensor structure and at the same time a spin structure. One considers the spin space generated by a Clifford algebra, namely, the vector space spanned by an orthonormal basis $\{e_j:j=1,\cdots ,n\}$ satisfying the condition $\{e_i,e_j\}\equiv e_i{e}_j=e_j{e}_i=2I{\eta }_{ij}$, where $I$ denotes the unit scalar of the algebra and (${\eta }_{ij}$) the nonsingular Minkowski...