Student Analysis Date:  Thursday, February 02, 2012 Location:  2866 East Hall (5:10 PM to 6:00 PM) Title:  Hardy Spaces: The Real Harmonic Analysis Perspective Abstract:   I will introduce Hardy spaces from the real harmonic analysis perspective. First, I will discuss how these spaces are defined, using only tools of real analysis, in a way that generalizes the classical definitions using complex analysis. Then I will discuss the useful atomic decomposition of Hardy spaces, which allows us to characterize elements as appropriate sums of relatively easy "atoms". (These atoms were some of the key elements in the development of wavelet theory in the 1980s.) Finally, I will discuss why these spaces are so useful in harmonic analysis, with H^1 serving as a good replacement for L^1 in terms of the behavior of singular integral operators, interpolation results, and duality (with BMO replacing L^infinity). This talk will be independent of the earlier two talks about complex Hardy spaces. Speaker:  Rafe Kinsey Institution:  University of Michigan Event Organizer:   Purvi Gupta      Edit this event (login required). Add new event (login required). For access requests and instructions, contact math-webmaster@umich.edu Back to previous page Back to UM Math seminars/events page.