Residue Currents and Bezout Identities (Hardcover)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Progress in Mathematics, v. 114
Release date:	August 1993
First published:	October 1993
Authors:	Carlos A. Berenstein • Etc • Roger Gay • Alekos Vidras • Alain Yger
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	168
ISBN-13:	978-3-7643-2945-7
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	3-7643-2945-9
Barcode:	9783764329457

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