IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Robert C. Sharpley

  • Distinguished Professor Emeritus
  • Mathematics
  • University of South Carolina

Research Professor
Interdisciplinary Mathematics Institute
University of South Carolina



Education

Ph.D. Mathematics University of Texas 1972
M.A. Mathematics University of Texas 1969
B.A. Mathematics University of Texas 1968

Experience

2009 – Present Distinguished Professor Emeritus University of South Carolina
2009 – Present Research Professor Interdisciplinary Mathematics Institute
2010 – 2013 Interim Director Center for Research Computing & Cyberinfrastructure, Univ. of South Carolina
2007 – 2009 Director Interdisciplinary Mathematics Institute
1983 – 2008 Professor Department of Mathematics, Univ. of South Carolina
1978 – 1983 Associate Professor Department of Mathematics, Univ. of South Carolina
1976 – 1978 Assistant Professor Department of Mathematics, Univ. of South Carolina
1972 – 1976 Assistant Professor Oakland University

Research

Research Interests

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


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Teaching Activities

Previous Courses

Undergraduate:

Prepared and delivered Undergraduate courses from more than 26 different subject areas in Mathematics, Computer Science, and Statistics. A sample listing includes: Summer Program in Arithmetic & Algebra for Disadvantaged Youth (Detroit, 1974), Precalculus, Calculus I-III (including Honors), Discrete Math, Data Structures, Linear Algebra, Numerical Analysis, Probability Theory, Partial Differential Equations, Statistics for Engineers, Real Analysis I-II (including Honors), Applied Complex Variables, Abstract Algebra I-II, Computational Science, Wavelets, Foundations of Geometry, and Modern Geometry.

Graduate:

Prepared and delivered Graduate courses from more than 20 different Mathematical subject areas, including Modeling, Applied Mathematics, Numerical Computation, Approximation Theory, Fourier Analysis, Partial Differential Equations, Optimization, Real Analysis, Complex Analysis, Finite Elements, Complex Analysis, Littlewood-Paley Theory, Wavelets and Multiresolution Analysis.


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5 Selected Publications

  • 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.
  • R.C. Sharpley and V. Vatchev, "Analysis of the Intrinsic Mode Functions," Constr. Approx. 24 (2006), 17-47.
  • 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.

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IMI Preprints and Seminars

Go to the list of 11 preprints and 2 seminars by Robert C. Sharpley.

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Curriculum Vitae

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