* Mathematics is the art of giving the same name to different things *  Henri Poincaré. (click HERE for the full interview)
As a fiction writer, I sign Daniel ZamithAbreu. My first book, a satyric novel about administrative bureaucracy with the city of Coimbra as scenario, written in the inspiring cities of Vienna and Novi Sad is available online at FNAC . TlHIS is the link to the Facebook fanpage I am an Associated Editor of the journal International Journal of Wavelets, Multiresolution and Information Processin Hyperuniform states of matter: In the eye of a chicken, a new state of matter comes into view. Scientific Publications of Luís Daniel Abreu 








(2019) 54. Noniterative phaseless reconstruction from wavelet transform magnitude (Best Paper Award DAFx19) Proceedings of the DAFx19. Sound examples: http://ltfat.github.io/notes/055/ (with N. Holighaus, G. Koliander and Z. Průša) 53. Filtering the Continuous Wavelet Transform Using Hyperbolic Triangulations IEEE Proc. SampTA 2019, Bordeaux, France (2019) (with A. Haimi, G. Koliander and J. L. Romero) 52. Deterministic guarantees for L1reconstruction: a large sieve approach with geometric flexibility IEEE Proc. SampTA 2019, Bordeaux, France (2019) (with M. Speckbacher) 51. Random Gabor multipliers and compressive sensing IEEE Proc. SampTA 2019, Bordeaux, France (2019) (with Georg Tauböck, Shristi Rajbamshi and Peter Balazs) 50. Random Gabor multipliers for compressive sensing: a simulation study Proceedings of the EUSIPCO 2019. (with Georg Tauböck, Shristi Rajbamshi and Peter Balazs). 49. Characterization of Analytic Wavelet Transforms and a New Phaseless Reconstruction Algorithm IEEE Trans. Signal Proc. 67 (15), 38943908, (2019). (with N. Holighaus, G. Koliander and Z. Prusa) 48. Uniform convergence of basic FourierBessel series on a qlinear grid The Ramanujan Journal, 49 (2), 421449, (2019). (with R. AlvarezNodarse and J. L. Cardoso) 47. Harmonic analysis in phase space and finite Weyl Heisenberg ensembles J. Statistical Physics, 174 (5), 11041136, (2019). (with K. Gröchenig and J. L. Romero) (2018) 46 (with Michael Speckbacher). DonohoLogan large sieve principles for modulation and polyanalytic Fock space 45. Filtering with Wavelet Zeros and Gaussian Analytic Functions undergoing an extended revision (with A. Haimi, G. Koliander and J. L. Romero) (2017) 44. Sharp rates of convergence for accumulated spectrograms Inverse Problems, 33 (11), 115008 (2017). (with J. M. Pereira and J. L. Romero) 43. MSE estimates for multitaper spectral estimation and offgrid compressive sensing IEEE Trans. Information Theory, 63 (12), 77707776 (2017). (with J. L. Romero) 42. The WeylHeisenberg ensembles: hyperuniformity and higher Landau levels, J. Statistical Mechanics: Theor. Exper. 4, 043103 (2017). (with J. L. Romero, J.M. Pereira and S. Torquato) 41. A planar large sieve and sparsity of timefrequency representations IEEE Proc. SampTA 2017, Tallinn, Estonia, 283287 (2017). (with M. Speckbacher) 40. The WeylHeisenberg ensemble: statistical mechanics meet timefrequency analysis IEEE Proc. SampTA 2017, Tallinn, Estonia, 199202 (2017). (with J. L. Romero, J. M. Pereira and S. Torquato) 39. Multitaper spectral estimation and offgrid compressive sensing: MSE estimates IEEE Proc. SampTA 2017. Tallinn, Estonia, 188191 (2017). (with J. L. Romero) 38. Superframes and polyanalytic wavelets, J. Fourier Anal. Appl., 23 (2017) 120. 37. The average singular value of a complex random matrix decreases with dimension, arXiv second preliminar version (2017). (20152016) 36. On accumulated spectrograms, Trans. Amer. Math. Soc., 368, (2016), 36293649. (with K. Gröchenig and J. L. Romero) 35. Discrete coherent states for higher Landau levels (open access HERE ). Annals of Physics, 363 (2015) 337353. ( with P. Balazs, M. de Gosson and Z. Mouayn). Press release from the Austrian Academy of Sciences: MUSICAL ELECTRONS (in German) ). 34. The biasvariance tradeoff in Thomson´s multitaper estimator , Technical Report (2015). (with J. L. Romero) 33. Pseudo prolate spheroidal functions, IEEE Proc. SampTA 2015, 603607 (2015). (DOI 10.1109/SAMPTA.2015.7148962 ). (with J. M. Pereira) 32. Measures of localization and quantitative Nyquist densities, Appl. Comp. Harm. Anal., 38 (2015), 524534. (with J. M. Pereira) 31. On Toeplitz operators and localization operators, Proc. Amer. Math. Soc. 143 (2015), 43174323. (with N. Faustino) (20102014) 30. L. D. Abreu, Special frames, Proceedings of the SampTA 2013. Bremen, Germany, 176177, Eurasip, (2014) 29. L. D. Abreu, J. E. Gilbert, Wavelettype frames for the interval, Expo. Math., 32 (2014) 274 – 283. 28. L. D. Abreu, H. G. Feichtinger, Function spaces of polyanalytic functions, Harmonic and Complex Analysis and its Applications, Springer, pp. 138 (2014). 27. L. D. Abreu, O. Ciaurri, J. L. Varona, The spectrum of the right inverse of the Dunkl operator, Rev. Mat. Complutense , 26, (2013), 471483. 26. L. D. Abreu, O. Ciaurri and J. L. Varona, A qlinear analogue of the plane wave expansion, Adv. Appl. Math, 50, No. 3, 415428 (2013). 25. L. D. Abreu, A. S. Bandeira, Landau´s necessary density conditions for the Hankel transform , J. Funct. Anal. , 162 (2012) 18451866. 24. L. D. Abreu, M. Dörfler, An inverse problem for localization operators , Inverse Problems, (2012) 28, 115001, 16 pp. 23. L. D. Abreu, K. Gröchenig, Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group, Appl. Anal., 91 (2012), 19811997. 22. L. D. Abreu, Superwavelets versus polyBergman spaces, Int. Eq. Oper. Theory, 73 (2012) 177–193. 21. L. D. Abreu, O. Ciaurri and J. L. Varona, Bilinear biorthogonal expansions and the Dunkl kernel on the real line , Expo. Math., 30 (2012), 3248. 20. M. de Gosson, L. D. Abreu, Weak values and BornJordan quantization, AIP Conf. Proc. 1508, pp. (2012) 156161. 19. L. D. Abreu, Gabor frames, displaced states and the Landau levels: a tour in polyanalytic Fock spaces, “Proceedings 8^{th} ISAAC Congress, Vol. 1, (2012) 197207. 18. L. D. Abreu, O. Ciaurri, J. L. Varona, Bilinear biorthogonal expansions and the Dunkl kernel on the real line, Expo. Math., 30 (2012), 3248. 17. L. D. Abreu, Wavelet frames with Laguerre functions, C. R. Math. Acad. Sci. Paris, 349 (2011), 255258. 16. L. D. Abreu, Sampling and interpolation in BargmannFock spaces of polyanalytic functions, Appl. Comp. Harm. Anal., 29 (2010), 287302. 15. L. D. Abreu, F. Bouzeffour, A PaleyWiener theorem for the AskeyWilson function transform, Proc. Amer. Math. Soc. 138, (2010) 28532862. 14. L. D. Abreu, On the structure of Gabor and super Gabor spaces, Monatsh. Math., 161 (2010), no. 3, 237253. 









Old Publications (before 2010): Constr. Approx. 28 (2008), no. 2, 219235. (12) Hardytype theorem for orthogonal functions with respect to their zeros. The Jacobi weight case. (joint with F. Marcellan e S. B. Yakubovich), J. Math. Anal. Appl., 341 (2008), no. 2, 803812. Integral Transforms Spec. Funct. 19 (2008), no. 7, 463470; (10) Real PaleyWiener theorems for the KoornwinderSwarttouw qHankel transform. J. Math. Anal. Appl., 334, no. 1, 223231 (2007). (9) Completeness, special functions, and uncertainty principles over qlinear grids. J. Phys. A: Math. and Gen., 39 1456714580 (2006). (8) Functions qorthogonal with respect to their own zeros. Proc. Amer. Math. Soc. 134 , 26952701, (2006). (7) A qanalogue of an inequality due to Konrad Knopp. J. Ineq. Pure Appl. Math., 7, (3) art. 110, (2006). (6) Sampling theory associated with qdifference equations of the SturmLiouville type. J. Phys. A: Math. and Gen. 38, no. 48, 10311—10319, (2005). (5) A qsampling theorem related to the qHankel transform. Proc. Amer. Math. Soc. 133, 11971203, (2005). (4) Complete sets of qBessel functions, (joint with J. Bustoz). in "Theory and Applications of Special Functions. A volume dedicated to Mizan Rahman", (eds. M. E. H. Ismail and E. Koelink), Dev. in Math., Springer, New York, (2005). (3) Connecting Basic Bessel Functions. in: The J. A. Sampaio Martins anniversary volume, pp. 1320, Textos Mat. Sér. B 34, DMUC, (2004). (2) The roots of the third Jackson qBessel function, (joint with J. Bustoz e J. L. Cardoso). Int. J. Math. Math. Sci. 67, (2003), 42414248. (1) Turán inequalities for symmetric AskeyWilson polynomials, (joint with J. Bustoz). Rocky Mountain. J. Math. 30, (2000), no. 2, 401409.

















