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Southeastern Analysis Meeting
March 5-9, 2008
Vanderbilt University
Nashville, Tennessee, USA

Organizers
Brett Wick, Daoxing Xia, Dechao Zheng

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Equivalent conditions on direct path of wavelet sets
by
Xingde Dai
UNC-Charlotte
Coauthors: Yuanan Diao and David Larson

A wavelet set E is a measurable set such that its characteristic function modular √{2p} is the Fourier Transform of an orthonormal wavelet. It is an unsolved question that the family of this type characteristic functions is path connected in L2 norm such that each point in the path, (which is also a wavelet set) is contained in the union of the starting and ending wavelet sets. We present conditions that equivalent to the existence of a direct path.

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Date received: February 16, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-49.