Affine synthesis in the space L-2 (R-d)

摘要

We establish some theorems on the representation of functions f is an element of L-2 (R-d) by series of the forin f = Sigma(j is an element of N) Sigma(k is an element of Zd) C-j,C-k psi(j,k) that are absolutely convergent with respect to the index j (that is, Sigma(j is an element of N)parallel to Sigma(j is an element of N) Sigma(k is an element of Zd) C-j,C-k psi(j,k)parallel to(2)