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Residue Currents and Bezout Identities (Hardcover)
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Residue Currents and Bezout Identities (Hardcover)
Series: Progress in Mathematics, v. 114
Expected to ship within 10 - 15 working days
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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.
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