Solution of boundary-value problems in the theory of analytic functions of several variables in Vladimirov algebras

Associative and commutative distribution algebra with multipliers, and generalized solutions of nonlinear equations

“…2 ~ The setting of the Riemann boundary-value problem in a class of generalized functions (see [24,25]) is reduced to the problem of factorization of distributions, which has not been solved in the general case [24, w 9]. The Riemann problem in the algebra E* is formulated as follows: given vector-valued distributions f*(x), g*(x) of E* (distributions of E)it is required to find a pair of functions f+(x • iy) E h+ C h, where …”