Classification of Wavelet Bases by Translation Subgroups and Nonharmonic Wavelet Bases

摘要

The structure of the set S of shiftable points of wavelet subspaces is researched in this paper. We prove that S=R or S=(1/q)Z where q∈N. The spectral and functional characterizations for the shiftability are given. Furthermore, the nonharmonic wavelet bases are discussed.