S. B. Damelin and W. Miller, The Mathematics of Signal Processing,
Cambridge Texts in Applied Mathematics (No. 48), February 2012.
ProofsPDF.
S. B. Damelin, H. Guo and W. Miller, Mathematics and Signal Processing (supplement to first Edition---selected solutions), expected Summer 2020.
S. B. Damelin, Approximation in Euclidean Space, in preparation.
Book Chapters.
J. H. Ann, S. B. Damelin and P. Bigeleisen, Medical Image segmentation using modified Mumford segmentation methods,
Ultrasound-Guided Regional Anesthesia and Pain Medicine, eds P. Bigeleisen, Chapter 40, Birkhauser, 2009.
Topics in Integrable Systems, Special Functions, Orthogonal Polynomials and Random Matrices, Journal of Computational and Applied
Mathematics, Special Volume, 202, (1), May 2007, pp 1-154 (with W.u-Ma (University of South Florida)).
Papers (I do not include in preparation.)
I arrange my research output into sections related to the areas above--there is of course much overlap.
Signal processing, computer vision, manifold and data learning, clustering, tensor flow architectures,
group invariance-signature, min-max optimization, entropy-shortest paths-probability, chrio molecule reconstruction.
One dimensional and group approximation theory, weighted approximation, singular integrals and
discrepancy.
Multidimensional approximation theory
in Euclidean space and space induced by compact groups and via compact
group actions, Whitney extensions, manifold-hypermanifold learning.
Codes, combinatorial designs, quantum gates.
Minimal energy, equidistribution, discrepancy, orthogonal polynomials,
Potential theory.
Mathematics education.
Books: Editing and Proof Reading.
(Edited): A. Krall, Hilbert Space, Boundary Value Problems and
Orthogonal Polynomials, Birkhauser 2002.
(Selected Page Proof Reading): E. B. Saff, V. Totik, Logarithmic
potentials with external fields, Springer 1997.
GoogleScholar.
arXiv.
Microsoft Academic Research.
ResearchGate.
DBLP(uni-trier.de).