Steven Hudson Associate Professor Ph.D, University of Chicago Harmonic Analysis Dept Phone: (305) 348-2743 My Phone: (305) 348-3231 Office: DM 419B E-mail: hudsons@fiu.edu

Summer 2009 Office Hours
Mon and Wed, 2pm- 3pm, or appt, in DM 419B

Various previous courses, with links to exams, etc :

From 2009 - Calculus I
From 2008 - Combinatorics, Operations Research
From 2007 - Calculus II
From 2005 - Calculus III
From 2004 -  MAA 4211, MAA 4212
From 2003 - MAA 3200, Actuarial topics 

Research

Interests: Mainly Harmonic Analysis (Maximal functions, Sobolev spaces/inequalities, extremals) Secondly, certain aspects of combinatorics (Marriage thm, rearrangements of functions) and clustering (eg classification schemes, pattern recognition). You can read an intro to maximal functions here, and play around with a simple applet. More recently, I've been studying unique continuation, level curves of harmonic functions, and discrete inequalities with L De Carli.

Selected Papers:

• Polynomial Approximation in Sobolev Spaces, Indiana J Math
• A Marriage Theorem with Lebesgue measure, J Combin.Thy (A)

Papers with Mark Leckband:

• Hardy's Inequality and Fractal measures, Journal of Functional Analysis
• Extremals for Moser's Inequality, Proc AMS
• Extremals for a Moser-Jodeit exponential inequality, Pac J Math
• Extremals for Moser Inequalities, ARMA

Other Links

American Math Society . Math Websites . About this website . Math Dept page . FIU Home page

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