## ** Books & Edited Volumes **

- Modulation Spaces: With Applications to Pseudodifferential Operators and Nonlinear Schrodinger Equations, A. Benyi and K. A. Okoudjou, Applied and Numerical Harmonic Analysis, Birkhauser, Bassel, (2020).
- Sampling: Theory and Applications, Eds S. D. Casey, K. A. Okoudjou, M. Robinson, and B. Sadler, Applied and Numerical Harmonic Analysis, Birkhauser, Basel, 2020.
- Recent Advances in Mathematics and Technology: Proceedings of the First International Conference on Technology, Engineering, and Mathematics, Kenitra, Morocco, March 26-27, 2018, Eds S. Dos Santos, M. Maslouhi, and K. A. Okoudjou, Applied and Numerical Harmonic Analysis, Birkhauser, Bassel, (2020).
- Excursions in Harmonic Analysis, Vol. V; Eds R. Balan, J. J. Benedetto, W. Czaja, M. Dellatorre, and K. A. Okoudjou Birkhauser/Springer, New York, 2017 Vol V
- Finite Frame Theory: A Complete Introduction to Overcompleteness, Ed K. A. Okoudjou, Proceedings of Symposia in Applied Mathematics, Vol. 73, AMS (2016).
- Excursions in Harmonic Analysis, Vol. IV; Eds R. Balan, M. Begue, J. J. Benedetto, W. Czaja, K. A. Okoudjou; Birkhauser, New York, 2015 Vol IV
- Excursions in Harmonic Analysis, Vol. III; Eds R. Balan, M. Begue, J. J. Benedetto, W. Czaja, K. A. Okoudjou; Birkhauser, New York, 2015 Vol III
- Excursions in Harmonic Analysis, Vol. II; Eds T. Andrews, R. Balan, J. J. Benedetto, W. Czaja, K. A. Okoudjou; Birkhauser, New York, 2013 Vol II
- Excursions in Harmonic Analysis, Vol. I; Eds T. Andrews, R. Balan, J. J. Benedetto, W. Czaja, K. A. Okoudjou; Birkhauser, New York, 2013 Vol I

## ** Refeered Journal Publications **

## ** Time-Frequency Analysis **

- An algebraic perspective on multivariate tight wavelet frames with rational masks, (with Y. Hur and Z. Lubberts), arXiv:1902.07800, submitted, March 2019.
- Bimodal Wilson systems in , (with D. G. Bhimani), arXiv:1812.08020, submitted, December 2018.
- On the frame set for the 2-spline, (with A. G. D. Atindehou, and Y. B. Kouagou), arXiv:1806.05614, submitted, June 2018.
- Finding duality and Riesz bases of exponentials on multi-tiles,(with C. Frederick), arXiv:1910.09257,
**Appl. Comput. Harmon. Anal.,**to appear. - The Hartree-Fock equations in modulation spaces, (with D. Bhimani and M. Grillakis),
arXiv:1908.05862,
**Comm. Partial Differential Equations 45 (2020), no. 9, 1088–1117.** - Frame sets for a class of compactly supported continuous functions, (with A. G. D. Atindehou and Y. B. Kouagou)
arXiv:1804.02450,
**Asian-Eur. J. Math., 13 (2020), no. 5.** - Extension and restriction principles for the HRT conjecture,
arXiv:1701.08129,
**J. Fourier Anal. Appl., 25 (2019), no. 4, 1874-1901.** - An invitation to Gabor analysis,
arXiv:1812.08647,
**Notices Amer. Math. Soc., 66 (2019), no. 6, 808-819.** - On a Feichtinger problem, (with R. Balan, andA. Poria) arXiv:1705.06392,
**Operators and Matrices 12 (2018), no. 3, 881 – 891.** - On Wilson bases in , (with M. Bownik, M. S. Jakobsen, and J. Lemvig)
arXiv:1703.08600,
**SIAM J. Math. Anal. 49 (2017), no. 5, 3999-4023.** - Boundedness of multilinear pseudo-differential operators on modulation spaces,
(with S. Molahajloo, and G. E. Pfander),
arXiv:1502.03317,
**J. Fourier Anal. Appl., 22 (2016), no. 6, 1381-1415.** - Scaling Laplacian pyramids, (with Y. Hur), arXiv:1409.6938,
**SIAM J. Matrix Anal. Appl., 36(1) (2015), 348-365.** - Multi-window Gabor frames in amalgam spaces (with R.
Balan, J.
Christensen, I. Krishtal and J.L. Romero), arXiv:1108.6108
**Math. Res. Lett., 21(2014), no.1, 1-15.** - Dilation properties for weighted modulation spaces
(with Elena Cordero), arXiv:1008.0266
**J. Funct. Spaces Appl., Vol. 2012, Article ID 145491, 29 pages; doi:10.1155/2012/145491.** - Local well-posedness of nonlinear dispersive
equations on modulation spaces (with A. Benyi), arXiv:0704.0833,
**Bulletin of the London Mathematical Society, 41 (2009) no. 3, 549-558.** - A Beurling-Helson type theorem for modulation spaces,
arXiv:0801.1338,
**J. Funct. Spaces Appl., 7 (2009), no. 1, 33-41.** - Invertibility of the Gabor frame operator on the
Wiener amalgam space (with I. Krishtal), arXiv:0705.1335,
**J. Approximation Theory, 153 (2008), no. 2, 212-224.** - Time-frequency estimates for pseudodifferential
operators (with A. Benyi),
**Contemporary Math., AMS, Vol. 428 (2007), 13-22.** - Unimodular Fourier multipliers on modulation spaces,
(with A. Benyi, K. Groechenig and L. Rogers), arXiv:math/0609097 ,
**J. Funct. Anal. 246 (2007), no. 2, 366-384.** - Multilinear localization operators (with E. Cordero),
**J. Math. Anal. Appl., 325 (2007), no. 2, 1103–1116.** - Modulation spaces estimates for multilinear
pseudodifferential operators (with A. Benyi),
**Studia Math., 172 (2006), no. 2, 169-180.** - Modulation spaces and a class of bounded multilinear
pseudodifferential operators (with A. Benyi, K. Groechenig and C.
Heil),
**J. Operator Theory, 54 (2005), no. 2, 389-401.** - A class of Fourier multipliers for modulation spaces,
(with A. Benyi, L. Grafakos and K. Groechenig),
**Appl. Comput. Harmon. Anal. 19 (2005), no 1, 131-139.** - Bilinear pseudodifferential operators on modulation
spaces (with A. Benyi),
**J. Fourier Anal. Appl. 10 (2004), no 3, 301-313.**. - Embeddings of some classical Banach spaces into the
modulation spaces,
**Proc. Amer. Math. Soc. 132 (2004), no. 6, 1639-1647.** - Gabor analysis in weighted amalgam spaces (with K.
Groechenig and C. Heil),
**Sampl. Theory Image Signal Process. 1 (2003), no. 3, 225-260.**

## ** Frame theory **

- Gradient Flows for Frame Potentials on the Wasserstein Space, (with C. Wickman), arXiv:1808.09319, submitted, August 2018.
- Universal optimal configurations for the p-frame potentials, (with X. Chen, V. Gonzales, E. Goodman, and
S. Kang), arXiv:1902.03505,
**Adv. Comput. Math., 46 (2020), 4**.

Numerical data about this manuscript can be found here. - Optimal properties of the canonical tight probabilistic frame, (with D. Cheng)
arXiv:1705.03437,
**Numer. Funct. Anal. Optim., 40 (2019), no. 2, 216-240.** - Equiangular quantum key distribution in more than two dimensions,
(with R. Balu, P. J. Koprowski, J. S. Park, and G. Siopsis),
arXiv:1810.05161,
**J. Phys. A: Math. Theor., 52 (2019), no. 075202.** - Duality and geodesics for probabilistic frames, (with C. Wickman),
arXiv:1609.05998,
**Linear Algebra and its Applications, 532 (2017), 198 – 221.** - Measures of scalability (with X. Chen, G. Kutyniok,
F. Philipp, and R. Wang), arXiv:1406.2137,
**IEEE Trans. Inf. Theory, 61 (2015), no. 8, 4410-4423.** - Finite two-distance tight frames, (with A. Barg, A. Glazyrin, and W.-H. Yu), arXiv:1402.3521,
**Linear Algebra and its Applications, 475 (2015), 163-175.** - Scalable frames and convex geometry (with G. Kutyniok
and F. Philipp), arXiv:1310.8107 ,
**Contemp. Math., Vol. 626 (2014), 19-32.** - Prime tight frames (with J. Lemvig, and C. Miller), arXiv:1202.6350
**Adv. Comput. Math., 40 (2014), no. 2, 315-334.** - Scalable frames (with Gitta Kutyniok, Friedrich
Philipp and Kaitlyn E. Tuley), arXiv:1204.1880,
**Linear Algebra and its Applications 438 (2013) 2225–2238.** - Minimization of the Probabilistic p-frame Potential
(with Martin Ehler), arXiv:1101.0140,
**J. Statist. Plann. Inference, 142 (2012), no. 3, 645-659.** - Frame potential and finite abelian groups, (with B.
D. Johnson), arXiv:0801.3813 ,
**Contemporary Math., AMS, Vol. 464 (2008), 137-148.** - Convolutional frames and the frame potential, (with M.
Fickus, B.D. Johnson and K. Kornelson),
**Appl. Comput. Harmon. Anal. 19 (2005), no 1, 77-91.**

## ** Analysis on Fractals and Graphs **

- Sobolev Orthogonal Polynomials on the Sierpinski gasket, (with Q. Jiang, T. Lan, R. S. Strichartz, S. Sule, S. Venkat, and X. Wang), arXiv:2010.00107 , submitted, October 2020.
- The strong maximum principle for Schrodinger operators on fractals, (with M. Ionescu and L. Rogers), arXiv:1902.05584,
**Demonstr. Math., 52 (2019), 404-409.** - Invertibility of graph translation and support of Laplacian Fiedler vectors, (with M. Begue)
arXiv:1703.05867,
**Contemp. Math., 706 (2018), 153-174.** - Some spectral properties of pseudo-differential
operators on the Sierpinski gasket, (with M. Ionescu, and L. G.
Rogers), arXiv:1406.5165,
**Proc. Amer. Math. Soc., 145 (2017), no. 5, 2183-2198.** - Orthogonal polynomials on the Sierpinski gasket (with
R. S. Strichartz and E. K. Tuley), arXiv:1110.1554,
**Constr. Approx., 37 (2013), no. 3, 311-340.** - Szego limit theorems on the Sierpinski gasket (with
L. G. Rogers and R. S. Strichartz), arXiv:0810.2315
**J. Fourier Anal. Appl., 16 (2010), no. 3, 434–447.** - Generalized eigenfunctions and a Borel theorem on the
Sierpinski gasket (with L. G. Rogers and R. S. Strichartz),
**Canadian Mathematical Bulletin, 52 (2009), no. 1, 105-116.** - An uncertainty principle for graphs, fractals and
manifolds (with L. Saloff-Coste and A. Teplyaev), arXiv:math/0701207,
**Trans. Amer. Math. Soc., 360 (2008), no. 7, 3857-3873.** - Asymptotics of eigenvalue clusters for Schrodinger
operators on the Sierpinski gasket (with R. S. Strichartz),
**Proc. Amer. Math. Soc. 135 (2007), no. 8, 2453-2459.** - Weak uncertainty principles on fractals (with R. S.
Strichartz),
**J. Fourier Anal. Appl. 11, no 3, 315-331.**

## ** Math Education **

- Active learning in an undergraduate precalculus course: Insights from a course redesign (with S. Gruber, R. Rosca, D. Chazan, E. Fleming, S. Balady, and C. Van Netta),
**PRIMUS, May 2020, DOI: 10.1080/10511970.2020.1772920**

## ** Book Chapters **

- Optimal l-one Rank One Matrix Decompositions, (with R. Balan, M. Rawson, Y. Wang, and R. Zhang), arXiv:2002.00879, submitted, January 2020.
- Optimization methods for frame conditioning and application to graph Laplacian scaling, (with R. Balan, M. Begue, and C. Clark)
arXiv:1609.02233, in
**“Frames and other bases in abstract and function spaces,” Lecture Notes ANHA Series, I. Pesenson and all Eds., 27 – 45, Appl. Numer. Harmon. Anal., Birkhauser/Springer, Cham, 2017.** - Preconditioning techniques in frame theory and probabilistic frames,
arXiv:1504.02023 in
**“Finite Frame Theory: A Complete Introduction to Overcompleteness”, Ed. K. A. Okoudjou, Proceedings of Symposia in Applied Mathematics, Vol. 73, 105-142, AMS (2016)**. (Notes from my lecture at the AMS 2015 Short Course on Finite Frame Theory: A Complete Introduction to Overcompleteness). - Probabilistic frames: An overview (with Martin
Ehler), arXiv:1108.2169, in
**“Finite Frames: Theory and Applications”, Applied and Numerical Harmonic Analysis, P. G. Casazza and G. Kutyniok (Eds), 415-436, Birkhauser (2013).**

## ** Refeered Conference Proceedings **

- Optimal frame conditioners, (with C. A. Clark), Proceedings SAMPTA 2015, pp. 148-152, doi: 10.1109/SAMPTA.2015.7148869.
- Preconditioning of frames, (with G. Kutyniok and F. Philipp), Proc. SPIE 8858, Wavelets and Sparsity XV, 88580G (September 26, 2013).
- Perfect preconditioning of frames by a diagonal operator, (with G. Kutyniok and F. Philipp), Proceedings of the 10th International Conference on Sampling Theory and Applications pp. 85-88.
- Concatenating codes for improved ambiguity behavior, (with J. J. Benedetto, A. Bourouihiya, I. Konstantinidis), Proceedings ICEAA ’07.