Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
13
From page
76
To page
88
Abstract
Let f=( f1,…,fm) be a holomorphic mapping in a neighborhood of the origin in Cn. We find sufficient condition, in terms of residue currents, for a smooth function to belong to the ideal in C∞ (or Ck) generated by f. If f is a complete intersection the condition is necessary. More generally we give a sufficient condition for an element of class C∞ (or Ck) in the Koszul complex induced by f to be exact. For the proofs we introduce explicit homotopy formulas for the Koszul complex induced by f.
Journal title
Journal of Functional Analysis
Serial Year
2004
Journal title
Journal of Functional Analysis
Record number
709342
Link To Document