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BCAMSevero Ochoa Award

basque center for applied mathematics

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Roncal Gómez, Luz

Ikerbasque Research and Ram? Cajal Fellow

Harmonic Analysis

Mazarredo, 14. 48009 Bilbao Basque Country - Spain


Ikerbasque Research and Ramón y Cajal Fellow. My research concerns problems from Harmonic Analysis and Partial Differential Equations. My current interests run along several directions: - Classical Harmonic Analysis dealing with singular integrals, square funtions, spherical averages, directional operators, and weighted versions of the latter. - Functional inequalities in several settings, such as the Heisenberg group or more general H-type groups and their applications, as well as their connections with the extension problem. - Discrete Harmonic Analysis and semidiscrete fractional equations, specially Carleman estimates and unique continuation principles for discrete and non-local equations. - Topics related to Fourier Analysis in the infinite torus. Very recently I got interested into the connections between Harmonic Analysis, PDEs, and Machine Learning in the broadest sense.

Eusko Jaurlaritza - Gobierno Vasco ikerbasque - Basque Foundation for Science Bizkaia xede. Bizkaiko Foru Aldundia innobasque - Agencia vasca de la innovación Universidad del PaÌs Vasco (UPV/EHU)