Research

Papers

  1. A functional characterization of almost greedy and partially greedy bases, Pablo M. Berná, Diego Mondéjar. Mathematics (2021) 9(15):1827.

  2. Greedy approximation for sequences with gaps. Miguel Berasategui, Pablo M. Berná. Nonlinear Analysis 208 (2021), 112294.

  3. Greedy approximation for biorthogonal systems in quasi-Banach spaces, FernandoAlbiac, José Luis Ansorema, PabloM. Berná, Przemyslaw Wojtaszczyk. To appear in Dissert. Math.

  4. Strong-partially-greedy bases and Lebesgue-type inequalities, Miguel Berasategui, Pablo M. Berná, Silvia Lasalle. To appear in Constr. Approx.

  5. A note on partially-greedy bases in quasi-Banach spaces. To appear in Studia Math.

  6. Nonlocal diffusion equations with dynamical boundary conditions, Pablo M. Berná, Julio D. Rossi. Nonlinear Analysis 195 (2020), 111751.

  7. Characterization of weight-semi-greedy bases, Pablo M. Berná, Journal of Fourier Analysis and Applications (2020) 26:21.

  8. The w-Property (A) and the greedy algorithm. Pablo M. Berná, Denka Kutzarova, Stephen Dilworth, Timur Oikhberg, Ben Wallis. J. Approx. Theory 248 (2019), 105300.

  9. Lebesgue inequalities for Chebyshev Thresholding Greedy algorithms. Pablo M. Berná, Óscar Blasco, Gustavo Garrigós, Eugenio Hernández, Timur Oikhberg. To appear in Revista Matemática Complutense.

  10. A remark on approximation with polynomials and greedy bases, Pablo M. Berná, Antonio Pérez, Journal of Mathematical Analysis and Applications 478 (2) (2019), 466-475.

  11. Asymptotic greediness of the Haar System in the Lp spaces for 1 < p < 1, Fernando Albiac, José Luis Ansorema, Pablo M. Berná, To appear in Constructive Approximation.

  12. Equivalence between almost-greedy and semi-greedy bases, Pablo M. Berná. Journal of Mathematical Analysis and Applications 417 (2019) 218–225.

  13. Embeddings and Lebesgue-type inequalities for the greedy algorithm in Banach spaces. Pablo M. Berná, Óscar Blasco, Gustavo Garrigós, Eugenio Hernández, Timur Oikhberg. Constructive Approximation 48 (3) (2018) 415-451.

  14. Characterization of greedy bases in Banach spaces. Pablo M. Berná, Óscar Blasco, Journal of Approximation Theory 215 (2017) 28–39.

  15. Lebesgue type inequalities for the greedy algorithm in general bases, Pablo M. Berná, Óscar Blasco, Gustavo Garrigós. Revista Matemática Complutense 30 (2017), no.2, 369–392.

  16. The best m-term approximation with respect to polynomials with constant coefficients. Pablo M. Berná, Óscar Blasco, Analysis Mathematica 43 (2) (2017), 119-132.


Preprints

  1. Extensions of greedy-like bases for sequences with gaps. Miguel Berasategui, Pablo M. Berná. https://arxiv.org/abs/2009.02257

  2. New parameters and Lebesgue-type estimates in greedy approximation. Fernando Albiac, José Luis Ansorena, Pablo M. Berná. https://arxiv.org/pdf/2104.10912.pdf.

  3. Bidemocratic bases and their connections with other greedy-type bases. Fernando Albiac, José Luis Ansorena, Miguel Berasategui, Pablo M. Berná, Silvia Lasalle. https://arxiv.org/pdf/2105.15177.pdf

  4. Weaker forms of unconditionality of bases in greedy approximation. Fernando Albiac, José Luis Ansorena, Miguel Berasategui, Pablo M. Berná, Silvia Lasalle. https://arxiv.org/pdf/2106.00975.pdf




Works in progress

  1. Approximation spaces and the Chebyshev Thresholding Greedy Algorithm. Pablo M. Berná, Eugenio Hernández.

  2. Bibases and greedy theory. P. M. Berná, D. Freeman, T. Oikhberg, M. Taylor.

  3. Geometry of quantum states in tensor Banach spaces. P. M. Berná, A. Falcó.

  4. Greedy approximation for nonlinear convex problems. P. M. Berná, A. Falcó