Let denote a strictly positive integer. We construct a complex differential algebra of so-called -periodic generalized functions. We show that the space of -periodic distributions on can be canonically embedded into . Next we lay the foundation for calculation in . This algebra enables one to solve, in a canonical way, differential problems with strong singular periodic data which have no solution in .
Cite this article
V. Valmorin, A New Algebra of Periodic Generalized Functions. Z. Anal. Anwend. 15 (1996), no. 1, pp. 57–74DOI 10.4171/ZAA/688