Papers

Select Publications from 50 research articles/book editor

  1. With Kon, Mark.  An Application of Spectral Regularization to Machine Learning and Cancer Classification in Excursions in Harmonic Analysis, Volume 5, Birkhauser-Springer. R. Balan, J. Benedetto, W. Czaja, M. Dellatorre, and K. Okoudjou, (2017) 129-152, DOI 978-3-319-54711-4_6.
  2. With Fan, Yue and Kin, Shinuk and Kon, Mark and DeLisi, Charles. Regularization Techniques for Machine Learning on Graphs and Networks with Biological Applications, Communications in Mathematical Analysis. Vol 8 (2010) 1-10.
  3. With Kon, Mark. Statistical Learning Methods for Uniform Approximation Bounds in Multiresolution Spaces,  Intl. J. Pure and Appld. Maths. 47, No. 4 (2008) 459-473.
  4. With Kon, Mark. Approximating Functions in Reproducing Kernel via Statistical Learning Theory in Wavelets and Splines, Mod. Methods Math., Nashboro Press, 2006, pp 271-286.
  5. With Kon, Mark and Daniel Williams. Extending Girosi’s Approximation Estimates for Functions in Sobolev Spaces via Statistical Learning Theory, J. of Analysis and Applications 3, No. 2 (2005) 67-90.
  6. With Carroll, Robert. Some Inverse Problems with Spectral Limitations on Data,  SIAM Journal of Applied Mathematical Analysis, Vol. 48,No. 5, 1988, pp. 1194-1205.
  7. With Kon, Mark. A Characterization of Wavelet Convergence in Sobolev Spaces,  Journal of Applicable Analysis, Vol. 78, 2001, pp. 271-324.
  8. With Kelly, Susan and Mark Kon. Pointwise Convergence of Wavelet Expansions, Bulletin of AMS, Vol. 30 (1), Jan. 1994, pp. 87-94.7.
  9. With Hirschhorn, Philip. Co-algebraic Foundations of the Method of Divided Differences, Advances in Mathematics, Vol. 91, 1992, No. 1, pp.75-135.
  10. With Diamond, Harvey and Daniel Williams. Box-Spline-Based Approach to the Formulation of Numerical Methods for Partial Differential Equations, Numerical Methods for Partial Differential Equations, Vol. 8,1992, p. 291-301.
  11. The Stieltjes Summability Method and Summing Sturm-Liouville Expansions, SIAM Journal of Mathematical Analysis, Vol. l3, No. 4, l982,pp. 676-689.
  12. With Diamond, Harvey and Kon, Mark. Stieltjes Summability of Sturm-Liouville Eigenfunction Expansions, Proceedings of AMS, Vol. 8l, No. 2, l98l, pp.279-286.
  13. Book Editor with Ruskai, Beth, Gregory Belykin, Ronald Coifman, Ingrid Daubechies, Stephane Mallat, Y. Meyer. Wavelets and Their Applications, Jones and Bartlett, 1992.

Link to research papers on Research Gate:

<a href=”https://www.researchgate.net/profile/Louise_Raphael”>Louise Raphael on ResearchGate</a>