Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 281

Loop Group Factorization of Biorthogonal Wavelet Bases

S. Borac, R. Seiler

We present a factorization theorem for certain polynomial loops in the matrix group $GL(2,C)$. The theorem leads to the construction of an algorithm for the factorization of pairs of biorthogonal filters with finite impulse response in simple terms, resulting in a reduction of the complexity of the corresponding wavelet transform.

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