Residue Currents and Bezout Identities (Progress in Mathematics)

Berenstein, C.A. (Editor) / Gay, R. (Editor) / Vidras, A. (Editor)

ISBN 10: 3764329459 / ISBN 13: 9783764329457

Published by Birkhäuser Basel, 1993

About this Item

1st edition. 158 pages. German language. 9.21x6.14x0.44 inches. In Stock.

Seller Inventory # x-3764329459

Bibliographic Details

• Title: Residue Currents and Bezout Identities (Progress in Mathematics)
• Publisher: Birkhäuser Basel
• Publication Date: 1993
• Language: English
• ISBN 10: 3764329459
• ISBN 13: 9783764329457
• Binding: Hardcover
• Condition: Brand New
• Weight: 0.45 kilograms

About this title

Synopsis

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.

Review

    "What an interesting idea! Dealing with residues from the point of view of complex variable theory! We thought that that was all over, after the advent of the Grothendieck hordes. But here we find some brave souls that reassert the primacy of analysis over abstract nonsense! Congratulations!"   
  - The Bulletin of Mathematical Books