Concerning the linear dependence of integer translates of exponential box splines Academic Article uri icon

abstract

  • Let Bξ,λ be the exponential box spline associated with λ ε{lunate} Cn, and an s × n rational matrix with rank s and non-zero columns. Sufficient conditions are provided for the kernel space K(BΞλ){colon equals}a:Zs→C: ∑ j∈Zsa(j)BΞλ(·- j)=0 to be (i) trivial and (ii) finite dimensional. While these results extend the corresponding theorems known for integer matrices, the methods of proof are discernibly different. © 1991.

author list (cited authors)

  • Sivakumar, N.

citation count

  • 3

publication date

  • January 1991