AFA
Departamento de Matemáticas
Facultad de Ciencias

Análisis de Fourier y Aplicaciones
MTM2016-76556-P



Publicaciones y prepublicaciones


F. Albiac, J. L. Ansorena, P. M. Berná, Asymptotic greediness of the Haar system in the spaces L_p[0,1], 1<p<\infty. Constr. Approx. 51, 427-440 (2020) https://doi.org/10.1007/s00365-019-09466-1


F. Albiac, J. L. Ansorena, P. M. Berná, P. Wojtaszczyk, Greedy approximation for biorthogonal systems in quasi-Banach spaces. Preprint 2020, http://arxiv.org/abs/1903.11651


D. Barbieri, E. Hernández, V. Paternostro, Riesz and Frame sequences: The bracket and the Gramian,  Collect. Math. 69 (2) (2017), 221-236 DOI 10.1007/s13348-017-0202-x


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, E. Hernández, A. Mayeli. Lattice sub-tilings and frames in LCA groups, C.R. Acad. Sci. Paris, Ser. 1, 356 (2), (2017), 193-199


D. Barbieri, C. Cabrelli, E. Hernández, P. Luthy, U. Molter, C. Mosquera. Frames of exponentials and submultitiles in LCA groups, C.R. Acad. Sci. Paris, Ser. 1, 356, (2018) 107-113.


D. Barbieri, C. Cabrelli, E. Hernández, U. Molter, Aproximation by group invariant subspaces, J. Math Pures Appl. (Accepted. 2020) 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, 11138-3, https://arxiv.org/abs/1909.01887


D. Barbieri, E. Hernández, A. Mayeli. Calderón-type inequalities for affine frames, Applied and Computational Harmonic Analysis. Accepted (September 2019) https://doi.org/10.1016/j.acha.2019.07.004  


D. Barbieri, E. Hernández, C. Mosquera. Extra invariance of principal shift invariant spaces and the Zak transform, Preprint, 2019. https://arxiv.org/abs/1904.10538


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


M. Berasategui, P. M. Berná, S. Lassalle, Strong-partially bases and Lebesgue-type inequalities, Preprint, 2019, https://arxiv.org/pdf/2001.01226.pdf .


M. Berasategui, P. M. Berná, Greedy approximation for sequences with gaps, Preprint, http://arxiv.org/abs/2005.07221


M. Berasategui, P. M. Berná, Extensions of greedy-like bases for sequences with gaps, Preprint, 2020, http://arxiv.org/abs/2009.02257


P. M. Berná, O. Blasco, G. Garrigós, Lebesgue inequalities for the greedy algorithm in general bases, Rev. Matem. Complut. 30 (2) (2017), 369–392.


P.M. Berná, O. Blasco, G. Garrigós, E. Hernández. T. Oikhberg. Embeddings and Lebesgue-type inequalities for the greedy algorithm in Banach spaces,  Constructive Approximation, 48 (3), (2018)  415–451


P. M. Berná, Equivalence between almost-greedy and semi-greedy bases, J. Math. Anal. Appl. 470 (2019), 218-225.


P. M. Berná, S. J. Dilworth, D. Kutzarova, T. Oikhberg, B. Wallis, The weighted Property (A) and the greedy algorithm. To appear in Journal Approximation Theory. 248 (2019), https://doi.org/10.1016/j.jat.2019.105300


P.M. Berná, O. Blasco, G. Garrigós, E. Hernández. T. Oikhberg, Lebesgue inequalities for Chebyshev thresholding greedy algorithms, Rev. Mat. Complut (2020) 695-722,  https://doi.org/10.1007/s13163-019-00328-9


P. M. Berná, A. Pérez, A remark on approximation with polynomials and greedy bases. J. Math. Anal. Appl. 478 (2019), 466-475.


P. M. BernáCharacterization of weight-semi-greedy bases. J Fourier Anal Appl (2020) 26: 21. https://doi.org/10.1007/s00041-020-09727-9


P. M. Berná, A note on partially-greedy bases in quasi-Banach spaces. Accepted, 2020, To appear in Studia Math http://arxiv.org/abs/2004.01128


S. Dilworth, G. Garrigós, E. Hernández. D. Kutzarova, V. Temlyakov, Lebesgue-type inequalities for greedy approximation, Preprint, 2019. https://arxiv.org/abs/1909.13536 


G. Flores, G. GarrigósMean value formulas for Ornstein-Uhlenbeck and Hermite temperatures. To appear in Positivity, Online First July 2019. https://doi.org/10.1007/s11117-019-00697-x


S. Buschenhenke, D. Müller, A. Vargas. A Fourier restriction theorem for a two-dimensional surface of finite type. Anal. PDE 10 (2017), no. 4, 817–891.


S. Buschenhenke, D. Müller, A. VargasA Fourier restriction theorem for a perturbed hyperbolic paraboloid. To appear in Proc. London Math. Soc,, http://arxiv.org/abs/1803.02711 (8 Marzo 2018).


S. Buschenhenke, D. Müller, A. Vargas, On Fourier restriction for finite-type perturbations of the hyperboloid. https://arxiv.org/abs/1902.05442 (23 julio 2019).


G. Garrigós, S. Hartzstein, T. Signes and B. Viviani, A.e. convergence and 2-weight inequalities for Poisson-Laguerre semigroups., Ann. Matem. Pura Appl. 196 (5) (2017), 1927–1960.


G. Garrigós, A. Seeger and T. Ullrich, The Haar system as a Schauder basis in spaces of Hardy-Sobolev type, Jour. Fourier Anal. Appl. 24 (5) (2018), 1319-1339.


G. Garrigós, A. Seeger and T. Ullrich, On uniform boundedness of dyadic averaging operators in spaces of Hardy-Sobolev type, Analysis Math. 43 (2) (2017), 267–278


G. Garrigós, A. Seeger and T. Ullrich, Basis properties of the Haar system in limiting Besov spaces. To appear in Geometric aspects of harmonic analysis: a conference in honour of Fulvio Ricci, Springer-INdAM series, 2019. Pages 1-55. Available at https://arxiv.org/pdf/1901.09117.pdf 


G. Garrigós, A. Seeger and T. Ullrich, The Haar system in Triebel-Lizorkin spaces: endpoint results. . Submitted. Preprint 2019, available at https://arxiv.org/pdf/1907.03738.pdf 


E. Hernández. Ondículas: historia, teoría y aplicación, La Gaceta de la RSME, 21 (2), 2018, 275-299.


E. Jeong , S. Lee, A. Vargas, Improved bound for the bilinear Bochner-Riesz operator,  Math. Ann. 372 (2018), no. 1-2, 581–609.


A. Sarti, D. Barbieri, Neuromorphology of meaning. In "Quantitative semiotic analysis", D. Compagno (ed.), Springer, in press (2017), DOI 10.1007/978-3-319-61593-6