José Luis Romero

Departamento de Matemática,

Facultad de Ciencias Exactas y Naturales,

Universidad de Buenos Aires.

Member of the Harmonic Analysis and Fractal Geometry Group.

Research

Research area: harmonic analysis, time-frequency and time-scale analysis, functional spaces, signal processing.

Research interests: representation theory, measure theory, fractal geometry, differential methods in analysis.

Publications

  • Doerfler, M., Romero, J. L.``Frames adapted to a phase-space cover''. Preprint. pdf-file.

  • Balan, R., Christensen, J., Krishtal, I., Okoudjou, K., Romero, J. L. ``Multi-window Gabor frames in amalgam spaces''. Preprint. pdf-file.

  • Cabrelli, C., Molter, U. and Romero, J. L. ``Non-uniform painless decompositions for anisotropic Besov and Triebel-Lizorkin spaces''. Adv. Math. Vol. 232, Issue 1, Jan. 2013, pg. 98-120. pdf-file.

  • Romero, J. L. ``Characterization of coorbit spaces with phase-space covers''. J. Funct. Anal. Vol. 262, Issue 1, Jan. 2012, pg. 59-93. 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. Vol. 36, Issue 1, Jan 2012, pg. 67-78. pdf-file.

  • Romero, J. L. ``Surgery of spline-type and molecular frames''. J. Fourier Anal. and Appl. Vol. 17, Issue 1 Feb. 2011, pg. 135-174. pdf-file.

  • Romero, J. L. ``Explicit localization estimates for spline-type spaces''. Sampl. Theory Signal Image Process. Vol 8. No. 3. p.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.

    • In conference proceedings (extended abstracts):

  • Romero, J. L. `Explicit localization estimates for spline-type spaces'. Proceedings of the conference Sampling Theory and Applications (SAMPTA), Marseille, France, 2009, pg 1-3. pdf-file.

  • Doerfler, M. , Romero, J. L. 'Frames of eigenfunctions and localization of signal components', Proceedings of the conference Sampling Theory and Applications (SAMPTA), Bremen, Germany, 2013, pg 1-4. pdf-file.