Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904774 | Advances in Mathematics | 2018 | 39 Pages |
Abstract
We introduce a ring H of partial difference-differential operators with constant coefficients initially defined by H. Glüsing-LürÃen 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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Saiei-Jaeyeong Matsubara-Heo,