2018年6月20日
Residue current approach to Ehrenpreis–Malgrange type theorem for linear differential equations with constant coefficients and commensurate time lags
Advances in Mathematics
- 巻
- 331
- 号
- 開始ページ
- 170
- 終了ページ
- 208
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.aim.2018.04.004
- 出版者・発行元
- Academic Press Inc.
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.
- ID情報
-
- DOI : 10.1016/j.aim.2018.04.004
- ISSN : 1090-2082
- ISSN : 0001-8708
- ORCIDのPut Code : 97156727
- SCOPUS ID : 85046038931