Extension principles for affine dual frames in reducing subspaces

摘要

Mixed Oblique Extension Principles (MOEP) provide an important method to construct affine dual frames from refinable functions. This paper addresses MOEP under the setting of reducing subspaces of L-2(R-d). We obtain an MOEP for (non)homogeneous affine dual frames and (non)homogeneous affine Parseval frames. (C) 2017 Elsevier Inc. All rights reserved.