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Harmonic Analysis Seminar: Haar expansions in Sobolev spaces May 08, 2017 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Andreas Seeger (University of Wisconsin-Madison)
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Consider expansions with respect to the Haar system on the real line, for functions  in  Sobolev spaces with small smoothness parameter. We report on work with Gustavo Garrig\'os and with Tino Ullrich and answer the following questions: Is the Haar system a Schauder basis?  Is it an unconditional basis?  We discuss  the boundedness of multiplier transformations and other quantitative versions of these questions.

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