Classification of Wavelet Bases by Translation Subgroups and Nonharmonic Wavelet Bases
Tóm tắt
The structure of the set S of shiftable points of wavelet subspaces is researched in this paper. We prove that S = ℝ or
$$
S = \frac{1}
{q}\mathbb{Z}
$$
where q∈ℕ. The spectral and functional characterizations for the shiftability are given. Furthermore, the nonharmonic wavelet bases are discussed.
Từ khóa
Tài liệu tham khảo
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