Publicaciones y prepublicaciones

F. Albiac, J. L. Ansorena, M. Berasategui, P. M. Berná and S. Lasalle, Weaker forms of unconditionality of bases in greedy approximation, Studia Math. 257 (1) (2022), 1-17  https://arxiv.org/pdf/2106.00975.pdf

F. Albiac, J. L. Ansorena, M. Berasategui, P. M. Berná and S. Lasalle, Bidemocratic bases and their connections with other greedy-type bases, Constr. Approx. 57 (2023), 125-160. (2021) https://arxiv.org/pdf/2105.15177.pdf

F. Albiac, J. L. Ansorena, P. M. Berná, P. Wojtaszczyk, Greedy approximation for biorthogonal systems in quasi-Banach spaces. Dissertationes Mathematicae 560 (2021), 1-88; http://arxiv.org/abs/1903.11651

F. Albiac, J. L. Ansorena, P. M. Berná, New parameters and Lebesgue-type estimates in greedy approximation, Forum of Mathematics Sigma 10 (2022), e113, 1–39.https://arxiv.org/pdf/2104.10912.pdf

D. Barbieri, E. Hernández, V. Paternostro, Spaces invariant under unitary representations of discrete groups, J. Math. Anal. Appl. 492 (2020)  https://arxiv.org/abs/1811.02993

D. Barbieri, C. Cabrelli, E. Hernández, U. Molter, Aproximation by group invariant subspaces, J. Math Pures Appl. 142, (2020), 76-100 https://arxiv.org/abs/1907.08300

D. Barbieri, C. Cabrelli, E. Hernández, U. Molter, Optimal translational-rotational invariant dictionaries for images, Wavelets and Sparsity, XVIII , SPIE 2019, 76-100 11138-3, https://arxiv.org/abs/1909.01887

D. Barbieri, C. Cabrelli, E. Hernández, U. Molter, Data Approximation with Time-Frequency Invariant System, In: Boggiatto P. et al. (eds) Landscapes of Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-56005-8_2

D. Barbieri, C. Cabrelli, E. Hernández, U. Molter, Learning optimal smooth invariant subspaces for data approximation, Preprint (2023), https://arxiv.org/abs/2311.12544

D. Barbieri, E. Hernández, A. Mayeli. Calderón-type inequalities for affine frames, Applied and Computational Harmonic Analysis. 50, (2021), 326-352, https://doi.org/10.1016/j.acha.2019.07.004  

D. Barbieri, C. Cabrelli, D. Carvajal, E. Hernández, U. Molter, The structure of group preserving operators, SASIDA (Sampling Theory, Signal Processing, and Data Analysis), 19(5), (2021). ArXiv: https://arxiv.org/abs/2009.12551

D. Barbieri, Reconstructing Group Wavelet Transform From Feature Maps With a Reproducing Kernel Iteration. Front. Comput. Neurosci.16 - 2022, https://doi.org/10.3389/fncom.2022.775241

M. Berasategui, P. M. Berná, S. Lassalle, Strong-partially bases and Lebesgue-type inequalities, Constr. Approx. 54 (2021), 507-528., https://arxiv.org/pdf/2001.01226.pdf .

M. Berasategui, P. M. Berná, Greedy approximation for sequences with gaps, Nonlinear Analysis, 208 (2021), 112294, http://arxiv.org/abs/2005.07221

M. Berasategui, P. M. Berná, Extensions of democracy-like properties for sequences with gaps, Math. Inequal. Appl. 25, no. 4 (2022) 11551189., http://arxiv.org/abs/2009.02257

M. Berasategui, P. M. Berná,  H. V. Chu, Extensions and new characterizations of some greedy-type bases, Bull. Malay. Math. Sci. Soc. 46, 84 (2023). https://arxiv.org/abs/2207.10136

M. Berasategui, P. M. Berná,  H. V. Chu,  On consecutive greedy and other greedy-like type of bases. Preprint. https://arxiv.org/pdf/2302.05758.pdf

M. Berasategui, P. M. Berná, Greedy-like bases for sequences with gaps. Accepted in Banach Journal of Mathematical Analysis (2024). https://arxiv.org/pdf/2009.02257.pdf

P. M. Berná, H.V Chu, On some characterization of greedy-type bases, Expo. Math. 40 (2022), 1135-1158. https://arxiv.org/abs/2201.12029

P. M. Berná, H.V Chu, E. Hernández, On approximation spaces and greedy type bases, Preprint (2023), https://arxiv.org/abs/2207.02554

P. M. Berná, D. Mondéjar, A functional characterization of almost-greedy and semi-greedy bases. Mathematics (2021) 9(15):1827. https://arxiv.org/abs/2108.01399

P. M. Berná, D. González, Non-linear approximation by 1-greedy bases. J. Math. Anal. Appl. 531 (2024), 127769. https://arxiv.org/abs/2212.02577

S. Buschenhenke, D. Müller, A. Vargas.  A Fourier restriction theorem for a perturbed hyperbolic paraboloid. Proc. London Math. Soc. (3) 120 (2020) 124-154, http://arxiv.org/abs/1803.02711 

S. Buschenhenke, D. Müller, A. Vargas, On Fourier restriction for finite type perturbations of the hyperboloid paraboloid. Geometric Aspects of Harmonic Analysis, Springer INdAM Series, 2021.. Available at arXiv: https://arxiv.org/abs/1902.05442

S. Buschenhenke, D. Müller, A. Vargas, Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid. The Journal of Geometric Analysis volume 31, 6941–6986 (2021). Available at https://arxiv.org/abs/2002.08726

S. Buschenhenke, D. Müller, A. Vargas, A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning;  Math. Z. 301 (2022), no. 2, 1913-1938.. Avilable at arXiv:2https://arxiv.org/abs/2003.01619

S. Buschenhenke, D. Müller, A. Vargas,, Fourier restriction for smooth hyperboloic 2-surfaces;Math. Ann. (2023) 387, 17-56 available at arXiv:https://arxiv.org/abs/2010.10449

S. Dilworth, G. Garrigós, E. Hernández. D. Kutzarova, V. Temlyakov, Lebesgue-type inequalities for greedy approximation, J. Funct. Analysis, 280  (5) (2021). https://doi.org/10.1016/j.jfa.2020.108885

G. Flores, G. Garrigós, T. Signes, B. Viviani. Pointwise convergence of fractional powers of Hermite type operators". Rev. Un. Mat. Argentina  66 (1) (2023), 187-205. Available at https://doi.org/10.33044/revuma.4357 and https://arxiv.org/abs/2211.06359

G. Garrigós, A. Seeger and T. Ullrich, The Haar system in Triebel-Lizorkin spaces: endpoint results, J. Geom. Anal   31 (9) (2021), 9045-9089. Available at https://arxiv.org/pdf/1907.03738.pdf 

G. Garrigós, A. Seeger and T. Ullrich, Basis properties of the Haar system in limiting Besov spaces. In Geometric aspects of harmonic analysis, P. Ciatti and A. Martini (Eds), Springer-INdAM series, Vol 45, (2021). Available in https://arxiv.org/abs/1901.09117 

G. Garrigós, A. Seeger and T. Ullrich, Haar frame characterizations of Besov-Sobolev spaces and optimal embeddings into their dyadic counterparts. Jour Fourier Anal Appl 29 (2023), 1-51. Open access in https://link.springer.com/article/10.1007/s00041-023-10013-7

G. Garrigós, The WCGA in Lp(log L) spaces. Constr Approx. 2023, Open access in https://link.springer.com/article/10.1007/s00365-023-09664-y 

E. Hernández, P. Luthy, H. Sikic, F. Soria, E. N. Wilson, Spaces generated by orbits of unitary representations: A tribute to Guido Weiss, Journal of Geometric Analysis, 31 (9) (2021) 8735-8761, https://doi.org/10.1007/s12220-020-00396-0

Nieraeth,  Z., Rey, G., Weighted BMO estimates for singular integrals and endpoint extrapolation in Banach function spaces. J. Math. Anal. Appl.521(2023) no.1. https://arxiv.org/abs/2206.12975

Kosz, D., Rey, G., Roncal, L., Weak-type maximal function estimates on the infinite-dimensional torus. Math. Z.304(2023), no.3.  https://arxiv.org/abs/2211.11641

Rey, G., Greedy approximation algorithms for sparse collections. Publ. Mat.68(2024), no.1, https://arxiv.org/abs/2202.10267