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Birkhauser Residue Currents and Bezout Identities: v. 114 (Progress in Mathematics)

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Description

The objective of this monograph is to present a coherent picture of the almost mysterious role that analytic methods and, in particular, multidimensional residue have recently played in obtaining effective estimates for problems in commutative algebra. Bezout identifies, i.e.,f1g1+...+fmgm=1, appear naturally in many problems, for example in commutative algebra in the Nullstellensatz, and in signal processing in the deconvolution problem. One way to solve them is by using explicit interpolation formulas in Cn, and these depend on the theory of multidimensional residues. The authors present this theory in detail, in a form developed by them, and illustrate its applications to the effective Nullstellensatz and to the Fundamental Principle for convolution equations.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
01 September 1993
Listed Since
30 January 2007

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