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.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc277762 |
| Date | 12 1900 |
| Creators | Navarro, Jaime |
| Contributors | Warchall, Henry Alexander, Castro, Alfonso, 1950-, Iaia, Joseph A., Swigger, Kathleen M. |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 77 leaves, Text |
| Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Navarro, Jaime |
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