What do Fourier and Schur idempotents look like?


题目:What do Fourier and Schur idempotents look like?

报告人:Javier Parcet

报告人单位:ICMAT, Madrid

摘要:What happens to an $L_p$ function when one truncates its Fourier transform to a domain? This is in the root of foundational problems in harmonic analysis. Fefferman’s ball multiplier theorem (1971) shows that $L_p$-preserving Fourier truncations are associated to domains with flat boundary. What if we truncate on a curved space like a Lie group? And if we truncate the entries of a given matrix? How does it affect its singular numbers? These apparently unrelated problems are interestingly connected. Our talk will be based on a joint work with M. de la Salle and E. Tablate.  

时间:2024年6月25日(星期二), 15:15-16:15


报告人简介:Javier Parcet is Investigador Científico and the Chair of the Group Noncommutative Harmonic Analysis at the the Instituto de Ciencias Matemáticas (ICMAT), Madrid. His main research area is harmonic analysis and probability, with connections in operator space theory, geometric group theory and noncommutative geometry. Among other distinctions, Professor Parcet was awarded with a Ramón y Cajal Researcher position in 2005, the José Luis Rubio de Francia Prize in 2006 and an ERC Grant Project in 2010. He is currently the editor of Journal of Functional Analysis and Revista Matemática Iberoamericana.

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