Robert C. Sharpley

Classical Analysis and its applications. Research interests include Fourier analysis, approximation theory, multiresolution analysis, signal and image processing, numerical analysis, computational mathematics, and visualization.

• Army Research Office: " Model Classes, Approximation, and Metrics for Dynamic Processing of Urban Terrain Data," 2007-2013.
  

• National Science Foundation: "Collaborative Research: An ATD Proposal: Fast Point Cloud Surface Reconstruction Algorithms," with Texas A&M, 2009-2013.
  

• National Science Foundation and Office of Research, USC "Collaborative Research: An EPSCoR Desktop to Teragrid Ecosystem", with states of South Carolina and Tennessee, 2009-2013.

• MATH 141 and 141H - Calculus I
  
• MATH 142 and 142H - Calculus II
  
• MATH 241 and 241H- Vector Calculus
  
• MATH 242 and 242H- Elementary Differential Equations
  
• MATH 399 - Independent Study
  
• MATH 499 - Undergraduate Research
  
• MATH 511 - Probability
  
• MATH 520 and 520H- Ordinary Differential Equations
  
• MATH 521 - Boundary Value Problems and Partial Differential Equations
  
• MATH 522 - Wavelets
  
• MATH 524 - Nonlinear Optimization
  
• MATH 526 and 526H- Numerical Linear Algebra
  
• MATH 527 - Numerical Analysis
  
• MATH 531 - Foundations of Geometry
  
• MATH 532 - Modern Geometry
  
• MATH 550 - Vector Analysis
  
• MATH 552 - Applied Complex Variables
  
• MATH 554 and 554H - Analysis I
  
• MATH 555 and 555H - Analysis II
  
• MATH 599 - Topics in Mathematics
  
• MATH 703 - Analysis I
  
• MATH 704 - Analysis II
  
• MATH 705 - Analysis III
  
• MATH 720 - Applied Mathematics I
  
• MATH 721 - Applied Mathematics II
  
• MATH 722 - Numerical Optimization
  
• MATH 723 - Differential Equations
  
• MATH 724 - Differential Equations II
  
• MATH 725 - Approximation Theory
  
• MATH 726 - Numerical Differential Equations I
  
• MATH 727 - Numerical Differential Equations II
  
• MATH 728 - Selected Topics in Applied Mathematics
  
• MATH 750 - Fourier Analysis
  
• MATH 751 - The Mathematical Theory of Wavelets
  
• MATH 752 - Complex Analysis
  
• MATH 755 - Applied Functional Analysis
  
• MATH 756 - Functional Analysis I
  
• MATH 757 - Functional Analysis II
  
• MATH 758 - Selected Topics in Analysis
  
• MATH 798 - Directed Readings and Research
  
• MATH 799 - Thesis Preparation|
  
• MATH 899 - Dissertation Preparation
  
• Also taught Math 100, Math 115, Math 174, Math 374, Math 546, Math 547, CSCE 350, and STAT 509 at other universities.

• Binev, P., Dahmen, W., DeVore, R., Lamby, P., Savu, D. and Sharpley, R., “Compressed Sensing and Electron Microscopy”, Chapter in Imaging at the Edge-Nanoscale Imaging in Electron Microscopy, P. Binev, W. Dahmen, T. Vogt (eds), Springer, 2012.
  
• Vatchev, V. and Sharpley, R., Decomposition of functions into pairs of intrinsic mode functions, Proc. Royal Soc. Series A 464 (2008), 2265–2280.
  
• Prazenica, R.J., Kurdila, A.J., Sharpley, R., and Evers, J., “Multiresolution and Adaptive Path Planning for Maneuver of Micro-Air-Vehicles in Urban Environments,” invited paper in the special session on Vision-Based Control, AIAA Guidance, Navigation, and Control Conference, San Francisco, CA, August 2005.
  
• Bennett, C., DeVore, R. and Sharpley, R., Weak-L^{\infty} and BMO, Annals of Math. 113 (1981), 601–611.
  
• C. Bennett and R.C. Sharpley, “Interpolation of Operators”, Academic Press, New York, 1988, 469 pp.