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GUO Feng-chen. On the Existence of Wavelets for Non-Expansive Dilation Matrices(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 44-50.
Citation:
GUO Feng-chen. On the Existence of Wavelets for Non-Expansive Dilation Matrices(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 44-50.
GUO Feng-chen. On the Existence of Wavelets for Non-Expansive Dilation Matrices(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 44-50.
Citation:
GUO Feng-chen. On the Existence of Wavelets for Non-Expansive Dilation Matrices(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 44-50.
Let D be a collection of invertible n×n real matrices and Γ a collection of points in Rn. this paper proved that when D={Aj,j∈Z}, A is a real n×n matrix, such thatA be diagonal matrix with submatrices us its elemets, where A1 is expansive, A2 is idempotent with det A2≠0, then there exists a (D,Γ) wavelet.
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