Andreas Heinecke

Science (Mathematics)

Assistant Professor

Email: andreas.heinecke@yale-nus.edu.sg

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Dr Andreas Heinecke received his Diploma in Mathematics from the Technical University of Dresden, Germany, in 2007 and his PhD in Mathematics from the University of Missouri-Columbia, USA, in 2012. Subsequently, he became a postdoctoral research fellow with the Department of Mathematics and the Centre for Wavelets, Approximation and Information Processing at the National University of Singapore, before joining Yale-NUS College in 2015.

Dr Heinecke’s research focuses on harmonic and functional analysis, in particular frame theory, time-frequency analysis and wavelets along with their applications to signal and image processing. His interests also include the treatment of resulting sparse approximation and inverse problems.

Z. Fan, A. Heinecke and Z. Shen, Duality for frames, J Fourier Anal Appl, 22(1) (2016), 71–136.

P. Casazza, A. Heinecke, K. Kornelson, Y. Wang and Z. Zhou, Necessary and sufficient conditions to perform spectral tetris, Linear Algebra Appl, 438(5) (2013), 2239–2255.

P. Casazza, M. Fickus, A. Heinecke, Y. Wang and Z. Zhou, Spectral tetris fusion frame constructions, J Fourier Anal Appl, 18(4) (2012) 828–851.

P. Casazza, A. Heinecke, F. Krahmer and G. Kutyniok, Optimally sparse frames,
IEEE Trans Inform Theory, 57 (2011), 7279–7287.

R. Calderbank, P. Casazza, A. Heinecke, G. Kutyniok and A. Pezeshki, Sparse fusion frames: existence and construction, Adv Comput Math, 35(1) (2011), 1–31.

R. Calderbank, P. Casazza, A. Heinecke, G. Kutyniok and A. Pezeshki, Constructing fusion frames with desired parameters, Wavelets XIII (San Diego, CA, 2009), SPIE Proc. 744612-1–744612-10.

Introduction to mathematical analysis
One real variable
Harmonic analysis
Multivariate calculus
Mathematical methods for physical scientists