Analysis Research Group

Wavelets, Frames, and Signal Processing






Dr. Manos Papadakis
Ph.D., University of Athens in Greece
B.A., University of Athens in Greece
(List of Publications)

Dr. Papadakis is an associate professor at the University of Houston and co-founder of the UH Institute for Digital Informatics (IDIA).

Through the IDIA, Dr. Papadakis and his colleagues are developing innovative techniques for harnessing data from images to create multidimensional models for use in medicine, geology and aerospace.

Dr. Papadakis's research interests include Wavelet analysis, frame theory, operator algebras, signal and image processing.









Dr. Vern Paulsen
Ph.D., University of Michigan, 1977
B.A., Western Michigan University, 1973
(Curriculum Vitae)

Dr. Paulsen is a Professor of Mathematics at the University of Houston where he has been a John and Rebecca Moores Professor since 1996. He is an Editor for the Houston Journal of Mathematics, an Associate Editor for the Journal of Operator Theory, and has also served on the editorial boards of the Journal of Geometric Analysis and Positivity. He received a UH Research Excellence Award in 1988, the UH College of Natural Sciences and Mathematics Teaching Excellence Award in 1997, the university-wide Teaching Excellence in 2008, and in 2007 he received a Distinguished Alumni Award from his undergraduate institution, Western Michigan University. He has received more than a dozen grants from the NSF since 1983 and directed 17 Ph.D. students. His research interests include operator algebras, completely bounded maps, frames, quantum computation, and function theoretic operator theory. He is the author of the following books and monographs:
  • Completely bounded maps and operator algebras by Vern Paulsen, Cambridge Studies in Advanced Mathematics 78. Cambridge University Press, Cambridge, 2002. xii+300 pp.
  • Categories of operator modules (Morita equivalence and projective modules) by David Blecher, Paul Muhly, and Vern Paulsen, Mem. Amer. Math. Soc. 143 (2000), no. 681, viii+94 pp.
  • Completely bounded maps and dilations by Vern Paulsen, Pitman Research Notes in Mathematics Series 146. Longman Scientific & Technical, Harlow; John Wiley & Sons, Inc., New York, 1986. xii+187 pp.
  • Hilbert modules over function algebras by Ron Douglas and Vern Paulsen, Pitman Research Notes in Mathematics Series, 217. Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1989. vi+130 pp.



Dr. Bernhard Bodmann
Ph.D., University of Florida, 2001
Masters (Diplom), Universität Erlangen, 1997
(List of Publications)

Dr. Bodmann is an associate professor at the University of Houston. He has been the recipient of grants from NSF and NSERC. His research interests include uncertainty principles in harmonic analysis, the design of frames for the coding of analog signals, wavelet and filter design, and mathematical physics. Selected papers:
  • Bernhard G. Bodmann and Peter G. Casazza, The road to equal-norm Parseval frames, J. Funct. Anal. 258, 397-420 (2010).
  • Bernhard G. Bodmann, David W. Kribs and Vern I. Paulsen, Decoherence-Insensitive Quantum Communication by Optimal C*-Encoding, IEEE Trans. Inform. Theory 53, 4738-4749 (2007).
  • Bernhard G. Bodmann, Optimal linear transmission by loss-insensitive packet encoding, Appl. Comput. Harmon. Anal. 22, 274-285, (2007).
  • Bernhard G. Bodmann, Manos Papadakis, and Qiyu Sun, An inhomogeneous uncertainty principle for digital low-pass filters, J. Fourier Anal. Appl. 12, 181-211, (2006).
  • Bernhard G. Bodmann, A lower bound for the Wehrl entropy of quantum spin with sharp high-spin asymptotics, Commun. Math. Phys. 250, 287-300, (2004).






Dr. Demetrio Labate
Ph.D., Georgia Institute of Technology, Mathematics, 2000
M.S., Georgia Instutute of technology, Applied Mathematics, 1995
Ph.D., Politecnico di Torino, Electrical Engineering, 1995
B.S., Politecnico di Torino, Electrical Engineering, 1991
(Curriculum Vitae)
(List of Publications)

Dr. Labate is an associate professor at the University of Houston. His area of research is harmonic analysis and, more specifically, the theory of wavelets and their applications to signal and image processing. His research is supported in part by NSF grants and he was awarded the NSF Career Award, 2008--2013, for his research on shearlets, a novel multiscale directional framework that is particularly efficient for the analysis of multidimensional data.






Dr. David Jiménez
Ph.D., Georgia Institute of Technology, Mathematics, 2008
B.Sc., Universidad de Costa Rica, 2001
(Curriculum Vitae)
(List of Publications)

Dr. Jiménez is a postdoc at UH working under Dr. Demetrio Labate and Dr. Manos Papadakis. His interestes include Image Processing, Signal Quantization, Compressive Sensing, Computer Vision, Wavelets, and Frame Theory.






Dr. Robert Houska
Ph.D., Washington University, 2009
M.A., Washington University, 2008
B.A., Washington University, 2004
(Curriculum Vitae)
(List of Publications)

Dr. Houska is a postdoc at UH working under Dr. Demetrio Labate. His current research interests include wavelets, frames, shearlets, and signal and image processing.






GRADUATE STUDENTS


Anando Sen
Advisor: Robert Azencott
(also works with Bernhard Bodmann
and Demetrio Labate)

Pankaj Singh
Advisor: Bernhard Bodmann

Pooran Negi
Advisor: Demetrio Labate

Sanat Upadhyay
Advisor: Manos Papadakis
   



Here is a list of former Analysis graduate students.

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