Article ID Journal Published Year Pages File Type
8904774 Advances in Mathematics 2018 39 Pages PDF
Abstract
We introduce a ring H of partial difference-differential operators with constant coefficients initially defined by H. Glüsing-Lürßen for ordinary difference-differential operators and investigate its cohomological properties. Combining this ring theoretic observation with the integral representation technique developed by M. Andersson, we solve a certain type of division with bounds. In the last section, we deduce from this injectivity properties of various function modules over H as well as the density results of exponential polynomial solutions for partial difference-differential equations.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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