John J. Benedetto
Professor
Department of Mathematics
University of Maryland
College Park, MD 20742
Office: Room 3104 (Math Building)
Office Phone: 301-405-5161
email: jjb@math.umd.edu
web site: www.math.umd.edu/~jjb
I received my BA from Boston College in 1960, my MA from Harvard University in 1962, and my Ph.D. from the University of Toronto in 1964 under the direction of Chandler Davis. Chandler received his Ph.D. from Harvard University in 1950 under the direction of Garrett Birkhoff, who was a member of Harvard's Society of Fellows and did not have a Ph.D.
Click here for speakers and photos from the Conference on Harmonic Analysis and Applications. The Department of Mathematics at University of Maryland sponsored the Conference, and its organizers were George Benke, Der-Chen Chang, Chris Heil, Raymond Johnson, and David Walnut. Click here for photos documenting some nocturnal activities associated with the Conference.
Click here for
Notes
from the Math 648 course, Wavelet Theory and Applications.
Click here for
Speech Data
for Math 648.
Click here for new Appendix B
of the book Harmonic Analysis and Applications.
Click here for an updated index
of the book Real Variable and Integration.
Click here for errata
of the book Real Variable and Integration.
Click here for Harmonic Analysis
lecture for graduate students (2002).
Click here for Finite Frames with
Applications to Sigma-Delta Quantization and MRI
(temporarily unavailable) lecture
with Matt Fickus, Stuart Fletcher, Alfredo Nava-Tudela,
Alex Powell, Yang B. Wang, and Ozgur Yilmaz (2004).
Click here for Quantum Detection and
Finite Frames
(temporarily unavailable) lecture
with Andrew Kebo (2005).
Click here for
Waveform Design and Quantum Detection Matched Filtering
(temporarily unavailable) lecture (2005).
Click here for
Waveform Design and Sigma-Delta Quantization
(temporarily unavailable) lecture (2006).
Click here for some of the beautiful people (temporarily unavailable (sic)) associated with the following theses, as well as other mathematician friends.
| Student | Thesis title | Year | |
|---|---|---|---|
| George Benke | Sidon sets and the growth of Lp norms | 1971 | |
| Wan-chen Hsieh | Topologies for spectral synthesis of the space of bounded functions | 1977 | |
| Fulvio Ricci | Support preserving multiplication of pseudo-measures | 1977 | |
| Ward Evans | Beurling's spectral analysis and continuous pseudomeasues | 1980 | |
| W. David Joyner | The harmonic analysis of Dirichlet series and the Riemann zeta function | 1983 | |
| -- | NSF Post Doc IAS | 1984 | |
| Jean-Pierre Gabardo | Spectral gaps and uniqueness problems in Fourier analysis | 1987 | |
| -- | Sloan Dissertation Fellowship | 1986 | |
| David Walnut | Weyl-Heisenberg wavelet expansions: existence and stability in weighted spaces | 1989 | |
| -- | Sloan Dissertation Fellowship | 1988 | |
| Christopher Heil | Wiener amalgam spaces in generalized harmonic analysis and wavelet theory | 1990 | |
| -- | NSF Post Doc MIT | 1990 | |
| Rodney Kerby | Correlation function and the Wiener-Wintner theorem in higher dimensions | 1990 | |
| George Yang | Applications of Wiener-Tauberian theorem to a filtering problem and convolution equations | 1990 | |
| William Heller | Frames of exponentials and applications | 1991 | |
| Joseph Lakey | Weighted norm inequalities for the Fourier transform | 1991 | |
| Erica Bernstein | Generalized Riesz products and pyramidal schemes | 1992 | |
| Anthony Teolis | Discrete signal representation | 1993 | |
| Shidong Li | The theory of frames and filter design | 1993 | |
| Sandra Saliani | Nonlinear wavelet packets | 1993 | |
| Georg Zimmermann | Projective multiresolution analysis and generalized sampling | 1994 | |
| Melissa Lynn Harrison | Frames and irregular sampling from a computational perspective | 1998 | |
| Hui-Chuan Wu | Multidimensional irregular sampling in terms of frames | 1998 | |
| Manuel T. Leon | Minimally supported frequency wavelets | 1999 | |
| Goetz E. Pfander | Periodic wavelet transforms and periodicity detection | 1999 | |
| Oliver Mike Treiber | Affine data representations and filter banks | 1999 | |
| Sherry Scott | Spectral analysis of fractal noise in terms of Wiener's Generalized Harmonic Analysis and wavelet theory | 2000 | |
| Matthew Fickus | Finite normalized tight frames and spherical equidistribution | 2001 | |
| Ioannis Konstantinidis | The characterization of multiscale generalized Riesz product measures | 2001 | |
| Songkiat Sumetkijakan | A fractal set constructed from a class of wavelet sets | 2002 | |
| Anwar A. Saleh | A finite dimensional model for the inverse frame operator | 2002 | |
| Jeffrey Sieracki | Greedy adaptive discrimination: signal component analysis by simultaneous matching pursuit with application to ECoG signature detection | 2002 | |
| Alex Powell | The uncertainty principle in harmonic analysis and Bourgain's theorem | 2003 | |
| Shijun Zheng | Besov spaces for the Schrodinger operator with barrier potential | 2003 | |
| Joseph Kolesar | Sigma-Delta modulation and correlation criteria for the construction of finite frames arising in communication theory | 2004 | |
| Andrew Kebo | Quantum detection and finite frames | 2005 | |
| Juan Romero | Generalized multiresolution analysis: construction and measure theoretic characterization | 2005 | |
| Abdelkrim Bourouihiya | Beurling weighted spaces, product-convolution operators, and the tensor product of frames | 2006 | |
| Aram Tangboondouangjit | Sigma-Delta quantization: Number theoretic aspects of refining quantization error | 2006 | |
| Somantika Datta | Wiener's Generalized Harmonic Analysis and waveform design | 2007 | |
| Onur Oktay | Frame quantization theory and equiangular tight frames | 2007 | |
| Alfredo Nava-Tudela | TBA | TBA | |
| Ming Wei Ong | TBA | TBA | |
| David Widemann | Dimensionality reduction for hyperspectral data | 2008 | |
| Justin Christopher Flake | TBA | TBA | |
| Emily King | TBA | TBA | |
| Matthew Hirn | TBA | TBA | |
| Benjamin Lauser | TBA | TBA | |
| James Tanis | TBA | TBA | |
| Enrico Au-Yeung | TBA | TBA | |
| Nathaniel Strawn | TBA | TBA |
| Student | Thesis title | Year | |
|---|---|---|---|
| Joanne Costello | Integration theory | 1969 | |
| Pamela Rowe | The uncertainty principle | 1980 | |
| David Kirk | The ambiguity function and the Wigner Distribution | 1984 | |
| John Montroll | AM and FM | 1984 | |
| Lonnie Carey | Maximum entropy and the moment problem | 1985 | |
| Rong-Song Jih | Some characteristics of R-synthesizable closed subalgebras of l^p | 1985 | |
| David Scott | Prolate spheroidal wave functions and the uncertainty principle in signal analysis | 1986 | |
| Rodney Kerby | Correlation functions and applications | 1988 | |
| Erica Bernstein | Carleson's Theorem | 1990 | |
| Michael Hernandez | Disjointness results for some classes of stable stochastic processes (for Christian Houdre') | 1992 | |
| Paul Miller | Nonseparable multidimensional filter banks | 1993 | |
| Glenn Easley | Frames, sampling, and reconstruction algorithms | 1996 | |
| Goetz Pfander | Wavelet detection of periodic behavior in EEG and ECoG data | 1998 | |
| Oliver Treiber | Affine frames and shift invariant systems in L^2(R^d) | 1998 | |
| Katharine Feehan | Wavelets in finance: Comparative study of nonparametric techniques for fitting the yield curve in the commercial paper market | 1999 | |
| Alfredo Nava-Tudela | Signal processing for health monitoring of jet engines | 1999 | |
| Alex Powell | Quadrature mirror filters | 1999 | |
| Andrew Kebo | Quantum detection and geometrically uniform frames | 2004 | |
| Richard Hallquist | The Dieudonne'-Grothendieck theorem | 2004 | |
| Ming Wei Ong | Maximum entropy and the extension problem for positive definite distributions | 2004 | |
| Abdelkrim Bourouihiya | Multipliers of Beurling algebras | 2004 | |
| Justin Christopher Flake | Factorization of group algebras | 2006 | |
| Leon Escobar | TBA | 2006 | |
| Kenneth MacDonald | TBA | 2006 |
Here are some other connections: