L’arbre d’un quasi connexe : un invariant conforme -adique
Le point de vue complexiforme
Les algèbres de Krasner-Tate
Les algèbres de Krasner-Tate
Linear operators in local fields of prime characteristic.
Linear substitution for basic sets of polynomials in Clifford analysis
Logarithmic derivative of the Euler Γ function in Clifford analysis.
The logarithmic derivative of the Γ-function, namely the ψ-function, has numerous applications. We define analogous functions in a four dimensional space. We cut lattices and obtain Clifford-valued functions. These functions are holomorphic cliffordian and have similar properties as the ψ-function. These new functions show links between well-known constants: the Eurler gamma constant and some generalisations, ζR(2), ζR(3). We get also the Riemann zeta function and the Epstein zeta functions.
Lower-dimensional decompositions using complex variables
The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable. Similarly as in the case of functions of real variables, the obtained criteria can also be interpreted as conditions for the solvability of functional equations.