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1. The Continuous Wavelet Transform and the Wave Front Set

Author

Navarro, Jaime

Subjects
Wavelets (Mathematics), continuous wavelet, wave front set
Abstract

In this paper I formulate an explicit wavelet transform that, applied to any distribution in S^1(R^2), yields a function on phase space whose high-frequency singularities coincide precisely with the wave front set of the distribution. This characterizes the wave front set of a distribution in terms of the singularities of its wavelet transform with respect to a suitably chosen basic wavelet.

Published
1993

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