Coprimeness of factorizations over a ring of distributions

Coprimeness of factorizations over a ring of distributions
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分布环上因式分解的互质性

DOI:
10.1007/978-1-4471-0807-8_52
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发表时间:
1999
影响因子:
6.8
通讯作者:
Y. Yamamoto
Y. Yamamoto
中科院分区:
计算机科学2区
文献类型:
--
作者:
Y. Yamamoto

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设R:=e‘(R_)表示在(−∞,0],p,q∈R中有紧支集的分布环(代数),[p,q]表示它们的(双边)拉普拉斯变换。请注意,根据著名的Paley-Wiener定理[2],它们是指数型整函数。
Let R := e′(R_) denote the ring (algebra) of distributions having compact support in (−∞, 0], p,q ∈ R, and let \( \hat p,\hat q \) denote their (two-sided) Laplace transforms. Notice that by the well known Paley-Wiener theorem [2] they are entire functions of exponential type.