Kasso A. Okoudjou
PUBLICATIONS


Refeered Journal Publications
  1. Optimal properties of the canonical tight probabilistic frame, (with D. Cheng) arXiv:1705.03437, submitted, May 2017.
  2. On Wilson bases in L2(R^d), (with M. Bownik, M. S. Jakobsen, and J. Lemvig) arXiv:1703.08600, submitted, March 2017.
  3. Invertibility of graph translation and support of Laplacian Fiedler vectors, (with M. Begue) arXiv:1703.05867, submitted, March 2017.
  4. Extension and restriction principles for the HRT conjecture, arXiv:1701.08129, submitted, January 2017.
  5. Duality and geodesics for probabilistic frames, (with C. Wickman), arXiv:1609.05998, submitted, September 2016.
  6. Some spectral properties of pseudo-differential operators on the Sierpinski gasket, (with M. Ionescu, and L. G. Rogers), [pdf], Proc. Amer. Math. Soc., 145 (2017), no. 5, 2183-2198.
  7. Boundedness of multilinear pseudo-differential operators on modulation spaces, (with S. Molahajloo, and G. E. Pfander), [pdf], J. Fourier Anal. Appl., 22 (2016), no. 6, 1381-1415.
  8. Measures of scalability (with X. Chen, G. Kutyniok, F. Philipp, and R. Wang), [pdf], IEEE Trans. Inf. Theory, 61 (2015), no. 8, 4410-4423.
  9. Finite two-distance tight frames, (with A. Barg, A. Glazyrin, and W.-H. Yu), [pdf], Linear Algebra and its Applications, 475 (2015), 163-175.
  10. Scaling Laplacian pyramids, (with Y. Hur), [pdf], SIAM J. Matrix Anal. Appl., 36(1) (2015), 348-365.
  11. Scalable frames and convex geometry (with G. Kutyniok and F. Philipp), [pdf], Contemp. Math., Vol. 626 (2014), 19-32.
  12. Multi-window Gabor frames in amalgam spaces (with R. Balan, J. Christensen, I. Krishtal and J.L. Romero), [pdf] [ps] Math. Res. Lett., 21(2014), no.1, 1-15.
  13. Prime tight frames (with J. Lemvig, and C. Miller), [pdf] Adv. Comput. Math., 40 (2014), no. 2, 315-334.
  14. Orthogonal polynomials on the Sierpinski gasket (with R. S. Strichartz and E. K. Tuley), [pdf] [ps] , Constr. Approx., 37 (2013), no. 3, 311-340.
  15. Scalable frames (with Gitta Kutyniok, Friedrich Philipp and Kaitlyn E. Tuley), [pdf], [ps], Linear Algebra and its Applications 438 (2013) 2225–2238.
  16. Minimization of the Probabilistic p-frame Potential (with Martin Ehler), [pdf] [ps], J. Statist. Plann. Inference, 142 (2012), no. 3, 645-659.
  17. Dilation properties for weighted modulation spaces (with Elena Cordero), [pdf] [ps], J. Funct. Spaces Appl., Vol. 2012, Article ID 145491, 29 pages; doi:10.1155/2012/145491.
  18. Szego limit theorems on the Sierpinski gasket (with L. G. Rogers and R. S. Strichartz), [pdf] [ps], J. Fourier Anal. Appl., 16 (2010), no. 3, 434--447.
  19. Local well-posedness of nonlinear dispersive equations on modulation spaces (with A. Benyi), [pdf] [ps], Bulletin of the London Mathematical Society, 41 (2009) no. 3, 549-558.
  20. A Beurling-Helson type theorem for modulation spaces, [pdf], [ps], J. Funct. Spaces Appl., 7 (2009), no. 1, 33-41.
  21. Generalized eigenfunctions and a Borel theorem on the Sierpinski gasket (with L. G. Rogers and R. S. Strichartz), [pdf], Canadian Mathematical Bulletin, 52 (2009), no. 1, 105-116.
  22. Invertibility of the Gabor frame operator on the Wiener amalgam space (with I. Krishtal), [pdf], [ps], J. Approximation Theory, 153 (2008), no. 2, 212-224.
  23. Frame potential and finite abelian groups, (with B. D. Johnson), [pdf] ; [ps], Contemporary Math., AMS, Vol. 464 (2008), 137-148.
  24. An uncertainty principle for graphs, fractals and manifolds (with L. Saloff-Coste and A. Teplyaev), [pdf], [ps], Trans. Amer. Math. Soc., 360 (2008), no. 7, 3857-3873..
  25. Time-frequency estimates for pseudodifferential operators (with A. Benyi), [pdf] , Contemporary Math., AMS, Vol. 428 (2007), 13-22.
  26. Asymptotics of eigenvalue clusters for Schrodinger operators on the Sierpinski gasket (with R. S. Strichartz), [pdf], [ps] , Proc. Amer. Math. Soc. 135 (2007), no. 8, 2453-2459.
  27. Unimodular Fourier multipliers on modulation spaces, (with A. Benyi, K. Groechenig and L. Rogers), [pdf] , [ps] , J. Funct. Anal. 246 (2007), no. 2, 366-384.
  28. Multilinear localization operators (with E. Cordero), [pdf], [ps], J. Math. Anal. Appl., 325 (2007), no. 2, 1103--1116.
  29. Modulation spaces estimates for multilinear pseudodifferential operators (with A. Benyi), [pdf]; [ps], Studia Math., 172 (2006), no. 2, 169-180.
  30. Modulation spaces and a class of bounded multilinear pseudodifferential operators (with A. Benyi, K. Groechenig and C. Heil), [pdf]; [ps], J. Operator Theory, 54 (2005), no. 2, 389-401.
  31. A class of Fourier multipliers for modulation spaces, (with A. Benyi, L. Grafakos and K. Groechenig), [ps],; [pdf], Appl. Comput. Harmon. Anal. 19 (2005), no 1, 131-139.
  32. Convolutional frames and the frame potential, (with M. Fickus, B.D. Johnson and K. Kornelson), [pdf]; [ps], Appl. Comput. Harmon. Anal. 19 (2005), no 1, 77-91.
  33. Weak uncertainty principles on fractals (with R. S. Strichartz), [pdf]; [ps], J. Fourier Anal. Appl. 11, no 3, 315-331.
  34. Bilinear pseudodifferential operators on modulation spaces (with A. Benyi), [pdf], J. Fourier Anal. Appl. 10 (2004), no 3, 301-313. .
  35. Embeddings of some classical Banach spaces into the modulation spaces, [pdf], Proc. Amer. Math. Soc. 132 (2004), no. 6, 1639-1647.
  36. Gabor analysis in weighted amalgam spaces (with K. Groechenig and C. Heil), [pdf], Sampl. Theory Image Signal Process. 1 (2003), no. 3, 225-260.

Book Chapters
  1. Optimization methods for frame conditioning and application to graph Laplacian scaling, (with R. Balan, M. Begue, and C. Clark) arXiv:1609.02233, in "Novel methods in harmonic analysis with applications to numerical analysis and data processing", Lecture Notes ANHA Series, I. Pesenson and all Eds., Birkhauser 2017 (to appear)
  2. .
  3. Preconditioning techniques in frame theory and probabilistic frames, [pdf] 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).
  4. Probabilistic frames: An overview (with Martin Ehler), [pdf] [ps], 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
  1. Optimal frame conditioners, (with C. A. Clark), [pdf], Proceedings SAMPTA 2015, to appear.
  2. Preconditioning of frames, (with G. Kutyniok and F. Philipp), [pdf], Proc. SPIE 8858, Wavelets and Sparsity XV, 88580G (September 26, 2013).
  3. Perfect preconditioning of frames by a diagonal operator, (with G. Kutyniok and F. Philipp), [pdf] Proceedings of the 10th International Conference on Sampling Theory and Applications pp. 85-88.
  4. Concatenating codes for improved ambiguity behavior, (with J. J. Benedetto, A. Bourouihiya, I. Konstantinidis), [pdf] Proceedings ICEAA '07.

Books
  1. Finite Frame Theory: A Complete Introduction to Overcompleteness, Ed K. A. Okoudjou, Proceedings of Symposia in Applied Mathematics, Vol. 73, AMS (2016) overcompletness
  2. 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
  3. 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
  4. 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
  5. 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

Other Publications
  1. Characterization of function spaces and boundedness properties of bilinear pseudodifferential operators through Gabor frames, Ph.D. thesis , August 2003, Georgia Institute of Technology.

Last modified: March 2017