Abstract

CABRELLI, C.  and  MOLTER, U.. Geometric Methods in Wavelet Theory. Rev. Unión Mat. Argent. [online]. 2005, vol.46, n.2, pp.121-132. ISSN 0041-6932.

In this paper we present an overview of how geometric methods can be successfully used to solve problems in Analysis. We will focus on self-similar objects and use their structure to construct frames, Riesz bases and wavelet bases in with a single generator function. Further, we show that the generating functions for these systems are dense in .

Keywords : Self-Similarity; Wavelets; Affine Systems; Wavelet Sets; Riesz basis wavelets.

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