| 書(shū)目名稱(chēng) | Residue Currents and Bezout Identities | | 編輯 | Carlos A. Berenstein,Alekos Vidras,Alain Yger | | 視頻video | http://file.papertrans.cn/829/828209/828209.mp4 | | 叢書(shū)名稱(chēng) | Progress in Mathematics | | 圖書(shū)封面 |  | | 描述 | A very primitive form of this monograph has existed for about two and a half years in the form of handwritten notes of a course that Alain Y ger gave at the University of Maryland. The objective, all along, has been to present a coherent picture of the almost mysterious role that analytic methods and, in particular, multidimensional residues, have recently played in obtaining effective estimates for problems in commutative algebra [71;5]* Our original interest in the subject rested on the fact that the study of many questions in harmonic analysis, like finding all distribution solutions (or finding out whether there are any) to a system of linear partial differential equa- tions with constant coefficients (or, more generally, convolution equations) in ]R. n, can be translated into interpolation problems in spaces of entire functions with growth conditions. This idea, which one can trace back to Euler, is the basis of Ehrenpreis‘s Fundamental Principle for partial differential equations [37;5], [56;5], and has been explicitly stated, for convolution equations, in the work of Berenstein and Taylor [9;5] (we refer to the survey [8;5] for complete references. ) One important point in [ | | 出版日期 | Book 1993 | | 關(guān)鍵詞 | algebra; calculus; cohomology; commutative algebra; duality; equation; function; homology; identity; proof; th | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8560-7 | | isbn_softcover | 978-3-0348-9680-1 | | isbn_ebook | 978-3-0348-8560-7Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Basel AG 1993 |
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