Research Publications

Monographs :
  1. C. Bennett and R.C. Sharpley, "Interpolation of Operators", Academic Press, New York, 1988, 469 pp.
  2. R.A. DeVore and R.C. Sharpley, "Maximal Functions Measuring Smoothness", Memoirs of Amer. Math. Soc (Num. 293) 47 Providence, 1984, 115 pp.
Refereed Publications :
  1. R. Sharpley, Spaces Λα(X) and interpolation, J. Functional Anal. 11 (1972), 479-513.
  2. R. Sharpley, Interpolation theorems for compact operators, Indiana Univ. Math. J. 22 (1973), 965-984.
  3. R. Sharpley, Interpolation of operators for Λφ spaces, Bull. Amer. Math. Soc. 80 (1974), 258-261.
  4. R. Sharpley, Interpolation of n pairs and counterexamples employing indices, J. Approximation Theory 13 (1975), 117-127.
  5. R. Sharpley, Characterization of intermediate spaces of Mφ spaces, in "Linear Operators and Approximation II," ISNM 25, Birkhäuser, Basel, 1975, 205-214.
  6. R. Sharpley, Fractional integration in Orlicz spaces, Proceedings Amer. Math. Soc. 59 (1976), 99-106.
  7. R. Sharpley, Multilinear weak type interpolation of m n-tuples with applications, Studia Math. 60 (1977), 179-194.
  8. C. Bennett and R. Sharpley, Weak type inequalities in analysis in "Linear Operators and Approximation," ISNM 40, Birkhäuser, Basel, 1978, p. 151-162.
  9. R. DeVore, S.D. Riemenschneider and R. Sharpley, Weak interpolation in Banach space, J. Functional Anal. 33 (1979), 58-94.
  10. C. Bennett and R. Sharpley, Weak type inequalities for Hp and BMO, Proceedings of Symposia in Pure Mathematics 35.1 (1979), 201-229.
  11. R. Sharpley, Counterexamples for classical operators on Lorentz-Zygmund spaces, Studia Math. 68 (1980), 141-158.
  12. C. Bennett and R. Sharpley, On an inequality for the sharp function, in "Quantitative Approximation," Academic Press, 1980, p. 1-6.
  13. C. Bennett, R. DeVore and R. Sharpley, Weak-L∞ and BMO, Annals of Math. 113 (1981), 601-611.
  14. C. Bennett and R. Sharpley, Interpolation between H1 and L∞, in "Functional Analysis and Approximation, (Oberwolfach, 1980)", pp. 111-116, Internat. Ser. Numer. Math. 60, Birkhäuser, Basel-Boston, Mass., 1981.
  15. C. Bennett, R. DeVore and R. Sharpley, Maximal singular integrals on L∞, Coll. Math. Soc. 35 (1983), 233-235.
  16. R. Sharpley, Cone conditions and the modulus of continuity, Canadian Math. Soc. Proceedings 3 (1983), 341-351.
  17. R. DeVore and R. Sharpley, On the differentiability of functions in Rn, Proceedings Amer. Math. Soc. 91 (1984), 326-328.
  18. R. Sharpley, Interpolation of H1 and H∞, in "Anniversary Volume on Approximation Theory and Functional Analysis," eds. P.L. Butzer, R. Stens, and B.Z. Nagy, Internat. Ser. Numer. Math. 65, Birkhäuser, Basel, 1984, p. 207-211.
  19. R. DeVore, S.D. Riemenschneider and R. Sharpley, n-Widths for Cpα   spaces, in "Anniversary Volume on Approximation Theory and Functional Analysis," eds. P.L. Butzer, R. Stens, and B.Z. Nagy, Internat. Ser. Numer. Math. 65, Birkhäuser, Basel, 1984, p. 213-222.
  20. C. Bennett and R. Sharpley, K-divisibility and a theorem of Lorentz and Shimogaki, Proceedings Amer. Math. Soc. 96 (1986), 585-592.
  21. R. Sharpley, On the atomic decomposition of H1 and interpolation, Proceedings Amer. Math. Soc. 97 (1986), 186-188.
  22. R. Sharpley, A characterization of the interpolation spaces of H1(R) and L∞R) on the Line, Constr. Approx. 4 (1988), 199-209.
  23. R. Sharpley and Y. Shim, Singular integrals on Cpα, Studia Math. 92.3 (1989), 285-293.
  24. J. Sochacki, P. O'Leary, C. Bennett, R.E. Ewing and R. Sharpley, Seismic modeling and inversion on the NCUBE, in "The Fifth Distributed Memory Conference," eds. D. Walker and Q. Stout, IEEE Comp. Soc. Press, Washington, D.C., 1990, p. 530-535.
  25. R. DeVore and R. Sharpley, Besov Spaces on Domains in Rd, Transactions Amer. Math. Soc. 335 (1993),843-864.
  26. R.E. Ewing, M.S. Espedal and R.C. Sharpley, Contaminant Transfer Simulation of Unsaturated and Multiphase Flows in Porous Media, in "Advances in Hydro-Science and Engineering," Vol. 1, Part B. (S. Wang, ed.), University of Mississippi Press, 1993, 1867-1873.
  27. R.E. Ewing, D. Mitchum, P. O'Leary, R.C. Sharpley and J.S. Sochacki, Distributed Computation of Wave Propagation Models Using PVM, in "Proceedings of Supercomputing '93" (to appear); rewritten by invitation for general audience in IEEE Parallel and Distributed Technology 2 (Spring 1994), 26-31.
  28. K. Fadimba and R. Sharpley, A Priori Estimates and Regularization for a Class of Porous Medium Equations, Nonlinear World 2 (1995), 13-41.
  29. R.E. Ewing, R.C. Sharpley and H. Wang, Eulerian-Lagrangian localized adjoint methods for transport of nuclear-waste contamination in porous media, in "Computational Methods in Water Resources X," Vol. 1 (A. Peters et al, eds.), Kluwer Academic Publ., Boston, 1994, 241-248.
  30. R.E. Ewing, H. Wang, R.C. Sharpley and M.A. Celia, A three dimensional finite element simulation for transport of nuclear-waste contamination in porous media, in "Computer Methods and Advances in Geomechanics," Vol. IV, A.A. Balkema Publishers, Rotterdam, Netherlands and Brookfield, U.S.A. (1995), 2673-2679.
  31. H. Wang, R.C. Sharpley and R.E. Ewing, On the Eulerian-Lagrangian localized adjoint methods for advective-diffusive transport equations, in "Advanced Mathematics: Computations and Applications", Computing Center SD RAS, Novosibirsk, Russia, (1996), 252-262.
  32. H. Wang, R.C. Sharpley and S. Man, An ELLAM scheme for advection-diffusion equations in multiple dimensions, in "Computational Methods in Water Resources XI," Vol. II: Computational Methods in Surface Flow and Transport Problems, Computational Mechanics Publications, South Hampton and Boston, 1996, 99-106.
  33. R. Babarsky and R. Sharpley, Expanded Stability Through Higher Temporal Accuracy for Time-Centered Advection Schemes, The Monthly Weather Review, 125 (1997), 1277-1295.
  34. L. Scott Johnson, A. Kaulgud, R.C. Sharpley, R.E. Ewing, Z. Leyk, J. Pasciak, M. Celia and J.R. Brannan, Integration of Contaminant Transport Simulators on Parallel Machines with a Graphical User Interface for Remote Interactive Modeling, in "Proceedings of the 1997 Simulation Multiconference," Atlanta, April 1997, Soc. for Computer Simulation International, San Diego, p. 319-324.
  35. H. Wang, H.K. Dahle, R.E. Ewing, M.S. Espedal, R.C. Sharpley and S. Man, An ELLAM scheme for advection-dispersion equations in two dimensions, SIAM J. Scientific Computing 20 (1999), 2160-2194.
  36. M. Al-Lawatia, R.C. Sharpley and H. Wang, A Characteristic Domain Decomposition and Space-Time Local Refinement Method for First-Order Linear Hyperbolic Equations with Interfaces, Numer. Methods Partial Differential Eq. 15 (1999), 1-28.
  37. M. Al-Lawatia, R.C. Sharpley and H. Wang, A Second Order Characteristic Method for Advection-Diffusion Equations and Comparison to Other Schemes, Adv. Water Resources 22 (1999), 741-768.
  38. R. DeVore, L.S. Johnson, C. Pan and R. Sharpley, Optimal entropy encoders for mining multiply resolved data, in "Data Mining II", N. Ebecken and C.A. Brebbia (eds.), WIT Press, Boston, 2000, p. 73-82.
  39. H. Wang, M. Al-Lawatia, R.C. Sharpley, M.A. Celia and A. Purnama, Modeling solute transport in unsaturated soils by the Eulerian-Lagrangian localized adjoint method, in "Towards a Safe Geoenvironment in the New Millennium. Proceedings of the International Conference on Geoenvironment 2000," A. El-Zawahry , A.M. Shahalam, and R. Taha (eds.), Sultan Qaboos University Press, Muscat-Sultante of Oman, 2000, 466-477.
  40. M. Al-Lawatia, R.C. Sharpley and H. Wang, A finite volume ELLAM for advection-diffusion equations, in "Towards a Safe Geoenvironment in the New Millennium. Proceedings of the International Conference on Geoenvironment 2000," A. El-Zawahry, A.M. Shahalam, and R. Taha (eds.), Sultan Qaboos University Press, Muscat-Sultante of Oman, 2000, 273-284.
  41. M. Al-Lawatia, H. Wang and R.C. Sharpley, A parallel characteristic method for first-order hyperbolic equations, Journal of the Faculty of Science, UAE University, 12(B) (2002), 1-13.
  42. M. Al-Lawatia, R.C. Sharpley and H. Wang, A finite volume Runge-Kutta ELLAM method for the solution of advection-diffusion equations, SQU Journal of Science and Technology 6 (2001), 67-83.
  43. B. Karaivanov, P. Petrushev and R. Sharpley, Algorithms for nonlinear piecewise polynomial approximation: Theoretical Aspects, Transactions Amer. Math. Soc. 355 (2003), 2585-2631.
  44. R. DeVore, A. Petukhov and R. Sharpley, Motion estimation with the redundant wavelet transform, in "The Third International Workshop on Digital and Computational Video (DCV 2002)", M.A. Bayoumi (ed.), IEEE Proceedings, St. Petersburg, Fl., 2002, p. 53-59.
  45. K. Fadimba and R. Sharpley, Galerkin finite element solutions for a class of porous medium equations, Nonlinear Analysis 5 (2004), 355-387.
  46. H.N. Stefansson, K.W. Eliceiri, C.F. Thomas, A. Ron, R. DeVore, R. Sharpley and J.G. White, Wavelet Compression of Three-Dimensional Time-lapse Biological Image Data, Microscopy and Microanalysis 10 (2004), 1-9.
  47. A. Kurdila, M. Nechyba, R. Lind, P. Ifju, P. Binev, W. Dahmen, R. DeVore and R. Sharpley, Vision- Based Control of Micro-Air-Vehicles: Progress and Problems in Estimation, 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, December 2004, p. 1636-1642.  Also appeared in IEEE Decision and Control (2005).
  48. R.C. Sharpley and V. Vatchev, Analysis of the Intrinsic Mode Functions, Constr. Approx. 24 (2006), 17-47.
  49. R.J. Prazenica, A.J. Kurdila, R.C. Sharpley and J. Evers, Multiresolution and Adaptive Path Planning for Maneuver of Micro-Air-Vehicles in Urban Environments, American Institute of Aeronautics and Astronautics Guidance, Navigation, and Control (2005), 12 pp. (to appear).
  50. D. Liang, H. Wang and R.C. Sharpley, Finite element approximations to one-phase nonlinear free boundary problem in groundwater contamination flow, Numerical Methods for Partial Differential Equations 22(6) (2006), 1267-1288.
  51. V. Vatchev and R. Sharpley, Decomposition of functions into pairs of intrinsic mode functions, Proceedings Royal Society (Series A) 464 (2008), 2265-2280.
  52. P. Binev, F. Blanco-Silva, D. Blom, W. Dahmen, P. Lamby, R. Sharpley and T. Vogt, High Quality Image Formation by Nonlocal Means Applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM), in "Modeling Nanoscale Imaging in Electron Microscopy," eds. T. Vogt, W. Dahmen & P. Binev, Nanostructure Science and Technology Series, Springer, 2012, pp. 127-145.
  53. P. Binev, W. Dahmen, R. DeVore, P. Lamby, D. Savu and R. Sharpley, Compressed Sensing and Electron Microscopy, in "Modeling Nanoscale Imaging in Electron Microscopy," eds. T. Vogt, W. Dahmen & P. Binev, Nanostructure Science and Technology Series, Springer, 2012, pp. 73-126.
  54. B. Berkels, R. Sharpley, P. Binev, A. Yankovich, F. Shi, P. Voyles and W. Dahmen (2012). High Precision STEM Imaging by Non-Rigid Alignment and Averaging of a Series of Short Exposures. Microscopy and Microanalysis 18 (Suppl. 2) , pp 300-301.
  55. B. Berkels, P. Binev, D. Blom, W. Dahmen, R. Sharpley and T. Vogt, Optimized Imaging Using Non-Rigid Registration, Ultramicroscopy 138 (2014), 46-56.
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This page maintained by Robert Sharpley (sharpley@math.sc.edu) and last updated April 2014. 
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