• Article  

      Analytic residues along algebraic cycles 

      Berenstein, Carlos A.; Vidras, Alekos; Yger, A. (2005)
      Let W be a q-dimensional irreducible algebraic subvariety in the affine space A C n, P1,..., Pm m elements in C[X1,...,Xn], and V(P) the set of common zeros of the Pj's in C n. Assuming that W is not included in V(P), one ...
    • Article  

      Division Theorems in Spaces of Entire Functions with Growth Conditions and their Applications to PDE of Infinite Order∗ 

      Berenstein, Carlos A.; Berenstein, Carlos A.; Gay, R.; Vidras, Alekos; Vidras, Alekos (1994)
      It is shown that every entire function is “slowly decreasing”. As an application of this property, a theorem on analytic continuation of solutions of infinite order differential equations with constant coefficients is ...
    • Article  

      Residue Currents and Bezout Identities 

      Berenstein, Carlos A.; Vidras, Alekos; Gay, Roger; Yger, Alain (1993)
      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 ...