Journal articles and preprints

Romero, J. L., Ulanovskii, A., Zlotnikov, I.

Sampling in the shift-invariant space generated by the bivariate Gaussian function.

Preprint. pdf-file. 

Ameur, Y., Marceca, F., Romero, J. L.

Gaussian beta ensembles: the perfect freezing transition and its characterization in terms of Beurling-Landau densities.

Preprint. pdf-file.

Marceca, F., Romero, J. L., Speckbacher, M.

Eigenvalue estimates for Fourier concentration operators on two domains.

Arch. Ration. Mech. Anal. To appear. pdf-file. 

Romero, J. L., Speckbacher, M.

Estimation of binary time-frequency masks from ambient noise.

SIAM J. Math. Anal. To appear. pdf-file. 

Marceca, F., Romero, J. L.

Improved discrepancy for the planar Coulomb gas at low temperatures.

J. Anal. Math. To appear. pdf-file. 

Antezana, J., Carbajal, D., Romero, J. L.

Random periodic sampling patterns for shift-invariant spaces.

IEEE Trans. Inf. Theory. To appear. pdf-file. 

Escudero, L. A., Feldheim, N., Koliander, G., Romero, J. L.

Efficient computation of the zeros of the Bargmann transform under additive white noise.

Found. Comput. Math.  24(1):279–312, (2024). pdf-file. 

Haimi, A., Romero, J. L.

Normality of smooth statistics for planar determinantal point processes.

Bernoulli. 30(1):666– 682, (2024). pdf-file.

Gröchenig, K., Romero, J. L., Speckbacher, M.

Lipschitz Continuity of Spectra of Pseudodifferential Operators in a Weighted Sjöstrand Class and Gabor Frame Bounds.

J. Spectr. Theory. 13(3):805–839, (2023). pdf-file.

Ameur, Y., Romero, J. L.

The planar low temperature Coulomb gas: separation and equidistribution.

Rev. Mat. Iberoam. 39(2):611–648, (2023). pdf-file.

Marceca, F., Romero, J. L.

Spectral deviation of concentration operators for the short-time Fourier transform.

Studia Math. 270 (2023), no. 2. pdf-file. 

Nicola, F., Romero, J. L., Trapasso, S. I.

On the existence of optimizers for time-frequency concentration problems.

Calc. Var. Partial Differ. Equ. 62 (2023), no. 1, Paper No. 21. pdf-file. 

Romero, J. L., van Velthoven, J. T.

The density theorem for discrete series representations restricted to lattices.

Expo. Math. 40(2):265–301, (2022). pdf-file.

Romero, J. L., Speckbacher, M.

Spectral-norm risk rates for multi-taper estimation of Gaussian processes.

J. Nonparametr. Stat. 34(2):448–464, (2022). pdf-file. 

Haimi, A., Koliander, G., Romero, J. L.

Zeros of Gaussian Weyl-Heisenberg functions and hyperuniformity of charge.

J. Stat. Phys. 187, 22 (2022). pdf-file. 

Romero, J. L., van Velthoven, J. T., Voigtlaender, F.

Invertibility of frame operators on Besov-type decomposition spaces.

J. Geom. Anal. 32 (2022), no. 5. pdf-file. 

Berra, M., de Hoop, M. V., Romero, J. L.

A multi-scale Gaussian beam parametrix for the wave equation: the Dirichlet boundary value problem.

J. Differ. Eq. 309 (2022), 949–993. pdf-file.

Aldroubi, A., Gröchenig, K., Huang, L., Jaming, P., Krishtal, I., Romero, J. L. 

Sampling the flow of a bandlimited function.

J. Geom. Anal. 31 (2021), no. 9, 9241–9275. pdf-file. 

Romero, J. L.

Sign retrieval in shift-invariant spaces with totally positive generator.

J. Fourier Anal. and Appl. 27 (2021), no. 2, 27.. pdf-file.

Romero, J. L., van Velthoven, J. T., Voigtlaender, F.

On dual molecules and convolution-dominated operators.

J. Funct. Anal. 280 (2021), no. 10, 108963. pdf-file. 

Escudero, L. A., Haimi, A., Romero, J. L.

Multiple sampling and interpolation in weighted Fock spaces of entire functions.

Complex Anal. Oper. Th. 15 (2021), no. 2, 35. pdf-file.

Jaming, P., Negreira, F., Romero, J. L.

The Nyquist sampling rate for spiraling curves.

Appl. Comput. Harmon. Anal. 52 (2021), 198–230. pdf-file. 

Andén, J., Romero, J. L.

Multitaper estimation on arbitrary domains.

SIAM J. Imaging Sci. 13, no. 3, 1565–1594, 2020. pdf-file. 

Romero, J. L.

Density theorems for sampling.

Internat. Math. Nachrichten. 243, 21-42, April 2020. pdf-file.

Gröchenig, K., Romero, J. L., Rottensteiner, D., van Velthoven, J. T.

Balian-Low type theorems on homogeneous groups. 

Anal. Math. 46, no. 3, 483–515, 2020. pdf-file.

Gröchenig, K., Romero, J. L., Stöckler, J. 

Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames. 

Constr. Approx. 51(1), 1-25, 2020. pdf-file.

Gröchenig, K., Haimi, A., Ortega-Cerdà J., Romero, J. L.

Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions.

J. Funct. Anal. 227(12) 108282, 34pp, 2019. pdf-file. 

Abreu, L. D., Gröchenig, K., Romero, J. L.

Harmonic analysis in phase space and finite Weyl-Heisenberg ensembles.

J. Stat. Phys. 174(5), 1104-1136. 2019. pdf-file.

Adcock, B., Gataric, M., Romero, J. L. 

Computing reconstructions from nonuniform Fourier samples: Universality of stability barriers and stable sampling rates. 

Appl. Comput. Harmon. Anal. 46(2): 226--249, 2019. pdf-file.

Gröchenig, K., Romero, J. L., Stöckler, J.

Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions.

Invent. Math. 211(3):1119--1148, 2018. pdf-file.

Führ, H., Gröchenig, K., Haimi, A., Klotz, A., Romero, J. L.

Density of Sampling and Interpolation in Reproducing Kernel Hilbert Spaces.

J. London. Math Soc. 96(3):663–686, 2017. pdf-file.

Abreu, L. D., Pereira, J, Romero, J. L.

Sharp rates of convergence for accumulated spectrograms.

Inverse Probl. 33(11):115008, 12, 2017. pdf-file.

Abreu, L.D., Romero, J. L.

MSE estimates for multitaper spectral estimation and off-grid compressive sensing.

IEEE Trans. Inf. Theory. 63(12):7770–7776, 2017. pdf-file.

Abreu, L. D., Pereira, J. M., Romero, J. L., Torquato, S.

The Weyl-Heisenberg ensemble: hyperuniformity and higher Landau levels.

J. Stat. Mech. Theor. Exp. 2017(4):043103, 2017. pdf-file.

de Gosson, M., Gröchenig K., Romero, J. L.

Stability of Gabor frames under small time Hamiltonian evolutions.

Lett. Math. Phys. 106(6):799--809, 2016. pdf-file.

Gröchenig K., Haimi, A., Romero, J. L.

Completeness of Gabor systems.

J. Approx. Theory. 207:283--300, 2016. pdf-file.

Abreu, L. D., Gröchenig K., Romero, J. L.

On accumulated spectrograms.

Trans. Amer. Math. Soc. 368(5):3629--3649, 2016. pdf-file.

Gröchenig K., Ortega-Cerdà J., Romero, J. L.

Deformation of Gabor systems.

Adv. Math. 277:388--425, 2015. pdf-file.

Gröchenig K., Romero, J. L., Unnikrishnan J., Vetterli M.

On Minimal Trajectories for Mobile Sampling of Bandlimited Fields.

Appl. Comput. Harmon. Anal. 39(3):487--510, 2015. pdf-file.

De Hoop, M. V., Gröchenig K., Romero, J. L.

Exact and approximate expansions with pure Gaussian wavepackets.

SIAM J. Math. Anal. 46(3):2229--2253, 2014. pdf-file.

Balan, R., Christensen, J., Krishtal, I., Okoudjou, K., Romero, J. L.

Multi-window Gabor frames in amalgam spaces.

Math. Res. Lett. 21(1):55--69, 2014. pdf-file.

Doerfler, M., Romero, J. L.

Frames adapted to a phase-space cover.

Constr. Approx. 39(3):445--484, 2014. pdf-file.

Cabrelli, C., Molter, U. and Romero, J. L.

Non-uniform painless decompositions for anisotropic Besov and Triebel-Lizorkin spaces.

Adv. Math. 232:98--120, 2013. pdf-file.

Romero, J. L.

Characterization of coorbit spaces with phase-space covers.

J. Funct. Anal. 262(1):59--93, 2012. pdf-file.

Feichtinger, H. G., Principe J. C., Romero J. L., Singh Alvarado, A., Velasco, G. A.

Approximate reconstruction of bandlimited functions for the integrate and fire sampler.

Adv. Comput. Math. 36(1):67--78, 2012. pdf-file.

Romero, J. L.

Surgery of spline-type and molecular frames.

J. Fourier Anal. and Appl. 17(1):135--174, 2011. pdf-file.

Romero, J. L.

Explicit localization estimates for spline-type spaces.

Sampl. Theory Signal Image Process. Vol 8. No. 3. pg. 249-259, 2009. pdf-file.

Feichtinger, H. G. , Molter, U. , Romero, J. L.

Perturbation techniques in irregular spline-type spaces.

Int. J. Wavelets Multiresolut. Inf. Process. Special Issue on Multiscale Methods, Sparse Decompositions and Parsimonious Statistics. 2, (6) 249-277, 2008. pdf-file.

(These links correspond to preprint versions of journal articles, which may be slightly different from the printed ones.)

Conference proceedings

P. Jaming, F. Negreira, and J. L. Romero.
Sampling over spiraling curves.
In 2019 13th International conference on Sampling Theory and Applications (SampTA), pages 1–4. IEEE, 2019

G. Koliander, L. D. Abreu, A. Haimi, and J. L. Romero.
Filtering the continuous wavelet transform using hyperbolic triangulations.
In 2019 13th International conference on Sampling Theory and Applications (SampTA), pages 1–4. IEEE, 2019.

(Extended technical report available here.)

K. Gröchenig, J. L. Romero, and J. Stöckler.
Sharp sampling theorems in shift-invariant spaces.
In 2017 International Conference on Sampling Theory and Applications (SampTA), pages 22–25. IEEE, 2017

L. D. Abreu and J. L. Romero.
Multitaper spectral estimation and off-grid compressive sensing: Mse estimates.
In 2017 International Conference on Sampling Theory and Applications (SampTA), pages 188–191, 2017

 L. D. Abreu, J. Pereira, J. L. Romero, and S. Torquato.
The weyl-heisenberg ensemble: Statistical mechanics meets time-frequency analysis.
In 2017 International Conference on Sampling Theory and Applications (SampTA), pages 199–202, 2017

K. Gröchenig, J. L. Romero, J. Unnikrishnan, and M. Vetterli.
Mobile sampling of bandlimited fields.
In 2015 International Conference on Sampling Theory and Applications (SampTA), pages 449–452, 2015

M. Dörfler and J. L. Romero.
Frames of eigenspaces and localization of signal components.
In 2013 International Conference on Sampling Theory and Applications (SampTA), pages 297–300, 2013

J. L. Romero.
Explicit localization estimates for spline-type spaces.
In 2019 International Conference on Sampling Theory and Applications (SampTA), pages 1–3, 2009

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