Note: I now have a new website.  Hi, my name is Rob Martin, and I am a Lecturer in the Department of Mathematics and Applied Mathematics at the University of Cape Town. I did my Ph.D. at the University of Waterloo, followed by a postdoctoral position at the University of California in Berkeley. My research interests include: sampling theory, Hilbert spaces of analytic functions, operator theory, self-adjoint extensions of symmetric operators, quantum physics and operator algebras. Here is a link to my CV. Here is a link to a research statement. Below is a list of my journal articles: Published: 1) R.T.W. Martin, Approximation of Ω-bandlimited functions by Ω-bandlimited trigonometric polynomials. Sampling Theory in Signal and Image Processing. 6:273-296, 2007.
2) A. Kempf and R.T.W. Martin, Information theory, spectral geometry, and quantum gravity. Physical Review Letters. 100:021304, 2008.
3) R.T.W. Martin and A. Kempf, Approximation of bandlimited functions on a non-compact manifold by bandlimited functions on submanifolds. Sampling Theory in Signal and Image Processing. 7:282-292, 2008. 4) --- and A. Kempf, Quantum uncertainty and the spectra of symmetric operators. Acta Applicandae Mathematicae. 106:349-358, 2009. 5) ---, Symmetric operators and reproducing kernel Hilbert spaces. Complex Analysis and Operator Theory. 4:845-880, 2010. 6) ---, Representation of symmetric operators with deficiency indices (1,1) in de Branges space. Complex Analysis and Operator Theory. 5:545-577, 2011. 7) ---, Characterization of the unbounded bicommutant of C_0(N) contractions. Operators and Matrices. 3:589-598, 2009. 8) ---, Semigroups of partial isometries and symmetric operators. Integral Equations and Operator Theory. 70:205-226, 2011. Submitted: 9) ---, Unitary perturbations of compressed N-dimensional shifts. Submitted to Complex Analysis and Operator Theory, 2011. ------------------------------------------------------------------------------------------------------------------------------------------------- Links: My former Ph.D. supervisor, Achim Kempf's homepage. My Ph.D. Thesis. |