Residue Currents and Bezout Identities
Publisher: Springer
Published: Oct 18, 2012
Format: paperback
Number of pages: 176
ISBN-13: 9783034896801
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 identities, 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.
Notes: Source title: Residue Currents and Bezout Identities (Progress in Mathematics)