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

 Spring 2021

Office Hours: MW 12:40pm to 1:45pm in PC 213 or DM 419B or by appt.
See your class syllabus for other contact options, and your Learning Assistant's hours.

Recent syllabi, with links to HW, exams, etc

From 2020 - Calculus II
From 2019 - Linear Algebra
From 2018 - Intro Adv Math
From 2016 - Differential Eqns
From 2015 - Discrete Math
From 2014 - Calculus I, Graph Theory

Research

Interests: Harmonic Analysis (Maximal functions, Sobolev spaces/inequalities, extremals) and combinatorial aspects of analysis (Marriage thm, rearrangements of functions). You can read my intro to maximal functions here, and maybe play around with a simple applet (though it seems broken). More recently, I've been studying PDE's, unique continuation, level curves of harmonic functions, and discrete inequalities with L De Carli. Also, solutions of Schrodinger equations with DeCarli, Edward, Leckband and X.Li. Pdfs of the papers with De Carli are available from her web site and others are available upon request.

Selected Older Papers:

• Polynomial Approximation in Sobolev Spaces, Indiana J Math
• A Marriage Theorem with Lebesgue measure, J Combin.Thy (A)
• With Leckband M, Hardy's Inequality and Fractal measures, Journal of Functional Analysis
• With DeCarli L, Geometric Remarks on the Level Curves of Harmonic Functions, Bull. Royal London Math Soc
• With DeCarli L, A Faber-Krahn inequality for solutions of Schrodinger's equation, Adv in Math

Recent Papers:

• With DeCarli L, Edward J, and Leckband M, Minimal support results for Schrodinger equations, Forum Math, 2013.
• With Edward J, and Leckband M, Existence problems for the p-Laplacian, Forum Math, 2013.
• With DeCarli L, Split functions, Fourier transforms and multipliers, Collectanea, 2015
• With DeCarli L and Li X, Minimal potential results for the Schrodinger equation in a slab. Forum Math, 2015.
• With Edward J, and Leckband M,  Minimal potential results for Neumann Problems, Forum Math, 2016.

  
  

Other Links

American Math Society . Math Dept page . FIU Home page

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