ANALYSIS ON THE P-ADIC SUPERSPACE .1. GENERALIZED-FUNCTIONS - GAUSSIAN DISTRIBUTION

The theory of generalized functions on the p-adic superspace Q(p)n,m over the (super) commutative Banach superalgebra-LAMBDA = LAMBDA-0 + LAMBDA-1 with the trivial LAMBDA-1 annihilator is proposed. The p-adic Gaussian "supermeasure" is defined as a generalized function on the p-adic superspace. The connection between the p-adic Gaussian integration and the p-adic gamma function of Morita is considered