Share
Residue Currents and Bezout Identities (in English)
Berenstein, C. A. ; Gay, R. ; Vidras, A. (Author)
·
Birkhauser
· Paperback
Residue Currents and Bezout Identities (in English) - Berenstein, C. a. ; Gay, R. ; Vidras, A.
$ 52.09
$ 54.99
You save: $ 2.90
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Friday, June 21 and
Monday, June 24.
You will receive it anywhere in United States between 1 and 3 business days after shipment.
Synopsis "Residue Currents and Bezout Identities (in English)"
A very primitive form of this monograph has existed for about two and a half years in the form of handwritten notes of a course that Alain Y ger gave at the University of Maryland. The objective, all along, has been to present a coherent picture of the almost mysterious role that analytic methods and, in particular, multidimensional residues, have recently played in obtaining effective estimates for problems in commutative algebra [71;5]* Our original interest in the subject rested on the fact that the study of many questions in harmonic analysis, like finding all distribution solutions (or finding out whether there are any) to a system of linear partial differential equa- tions with constant coefficients (or, more generally, convolution equations) in ]R. n, can be translated into interpolation problems in spaces of entire functions with growth conditions. This idea, which one can trace back to Euler, is the basis of Ehrenpreis's Fundamental Principle for partial differential equations [37;5], [56;5], and has been explicitly stated, for convolution equations, in the work of Berenstein and Taylor [9;5] (we refer to the survey [8;5] for complete references. ) One important point in [9;5] was the use of the Jacobi interpo- lation formula, but otherwise, the representation of solutions obtained in that paper were not explicit because of the use of a-methods to prove interpolation results.
