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Titlebook: Residue Currents and Bezout Identities; Carlos A. Berenstein,Alekos Vidras,Alain Yger Book 1993 Springer Basel AG 1993 algebra.calculus.co

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發(fā)表于 2025-3-21 19:47:16 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Residue Currents and Bezout Identities
編輯Carlos A. Berenstein,Alekos Vidras,Alain Yger
視頻videohttp://file.papertrans.cn/829/828209/828209.mp4
叢書名稱Progress in Mathematics
圖書封面Titlebook: Residue Currents and Bezout Identities;  Carlos A. Berenstein,Alekos Vidras,Alain Yger Book 1993 Springer Basel AG 1993 algebra.calculus.co
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
doihttps://doi.org/10.1007/978-3-0348-8560-7
isbn_softcover978-3-0348-9680-1
isbn_ebook978-3-0348-8560-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Basel AG 1993
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Integral Formulas in Several Variables, complex analytic manifold or an m-dimensional oriented .. manifold. The orientation of ?. will always be chosen so that the differential form . is positive. A smooth .-simplex on ., where .. 2. in the first case and ... in the second, is a pair (Δ, .,where Δ is the standard p-simplex in ?. (that is
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0743-1643 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
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發(fā)表于 2025-3-22 19:25:31 | 只看該作者
Residue Currents and Analytic Continuation,olds of . in general position, this means that, for any set of distinct indices ..,…, .., where 1 ≤ . ≤ ., for any point . in ., there is a system of local coordinates about ., such that in these coordinates,., and the .. are holomorphic functions such that .In the first case, the result of Leray [28] can be stated as follows.
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