Svetlana A Roudenko, Assistant Research Professor

Office Location:  121C Physics Bldg
Email Address: send me a message
Web Page:  http://www.math.duke.edu/~svetlana

Education:

Ph.D. in Mathematics, 2002, Michigan State University M.S. in Applied Mathematics, 1996, Nuclear Power Engineering Institute (Russia)
Specialties:

Analysis
Mathematical Physics
Applied Math
Research Interests: Harmonic Analysis, Nonlinear dispersive PDE and Wavelets

Nonlinear PDE

Generalized matrix-weighted function spaces (Besov, Triebel-Lizorkin)

Image Analysis

Riemann-Hilbert Problem

Representative Publications

  1. A. Comech, S. Roudenko, Integral operators associated to sublevel sets, submitted (Submitted, 2003) [available here]
  2. S Roudenko, A Comech, On Osher-Sole-Vese model in image processing (Preprint, 2004) [images-osv]
  3. M. Frazier and S. Roudenko, Matrix-weighted Besov Spaces and Conditions of $A_p$ type for $0 < p \leq 1$, Indiana Math J., vol. 53 (2004) [dvi]
  4. S. Roudenko, Duality of matrix-weighted function spaces, Studia Mathematica, vol. 160 no. 2 (2004), pp. 129-156 [papers]
  5. S. Roudenko, Matrix-weighted Besov Spaces, Trans. Amer. Math. Soc. 355 (2003), 273-314 [journal-getitem]