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

Spring 2012 Office Hours: TR 3:30pm to 4:30pm. Other times possible by appt (eg, R 12pm or 630pm). Also, Eric has office hours, posted on the 3105 Calendar/HW web page.

Previous syllabi, with links to exams, etc:
From 2011 - Real Analysis, Calculus II, Calculus I, Discrete Math
From 2010 - Calculus III , MAA 3200
From 2008 - Combinatorics, Operations Research

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. Also, solutions of Schrodinger equations.

Selected Older Papers:

• Polynomial Approximation in Sobolev Spaces, Indiana J Math [my thesis]
• 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

Papers with Laura De Carli:

• Unique continuation for nonnegative solutions of Schrödinger type inequalities, J. Math. Anal. Appl.
• Geometric Remarks on the Level Curves of Harmonic Functions, Bulletin of the Royal London Math Soc
• A Generalization of Bernoulli's Inequality, Le Matematiche

Other Links

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

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