CONCERNING THE LINEAR-DEPENDENCE OF INTEGER TRANSLATES OF EXPONENTIAL BOX SPLINES Academic Article uri icon

abstract

  • Let B, be the exponential box spline associated with {lunate} Cn, and an s n rational matrix with rank s and non-zero columns. Sufficient conditions are provided for the kernel space K(B){colon equals}a:ZsC: jZsa(j)B(- 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.

published proceedings

  • JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

  • SIVAKUMAR, N.

citation count

  • 3

complete list of authors

  • SIVAKUMAR, N

publication date

  • January 1991