Salem Prize (2002) EMS Prize (2004) Ferran Sunyer i Balaguer Prize (2013) Rey Jaime I Award (2019)
Xavier Tolsa (born 1966) is a Catalan mathematician, specializing in analysis.
Tolsa is a professor at the Autonomous University of Barcelona and at the Institució Catalana de Recerca i Estudis Avançats (ICREA), the Catalan Institute for Advanced Scientific Studies.
Tolsa does research on harmonic analysis (Calderón-Zygmund theory), complex analysis, geometric measure theory, and potential theory. Specifically, he is known for his research on analytic capacity and removable sets. He solved the problem of A. G. Vitushkin[1][2] about the semi-additivity of analytic capacity. This enabled him to solve an even older problem of Paul Painlevé on the geometric characterization of removable sets. Tolsa succeeded in solving the Painlevé problem by using the concept of so-called curvatures of measures introduced by Mark Melnikov in 1995. Tolsa's proof involves estimates of Cauchy transforms. He has also done research on the so-called David-Semmes problem involving Riesz transforms and rectifiability.[3]
In 2002 he was awarded the Salem Prize.[4] In 2006 in Madrid he was an Invited Speaker at the ICM with talk Analytic capacity, rectifiability, and the Cauchy integral. He received in 2004 the EMS Prize[5] and was an Invited Lecturer at the 2004 ECM with talk Painlevé's problem, analytic capacity and curvature of measures. In 2013 he received the Ferran Sunyer i Balaguer Prize for his monograph Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory (Birkhäuser Verlag, 2013}.[6] In 2019 he received the Rei Jaume I prize for his contributions to Mathematics.
^Vitushkin, A. G. (1967). "The analytic capacity of sets in problems of approximation theory". Russian Mathematical Surveys. 22 (6): 139–200. Bibcode:1967RuMaS..22..139V. doi:10.1070/RM1967v022n06ABEH003763. S2CID 250869451.
^Dudziak, James (2011-02-03). Vitushkin's Conjecture for Removable Sets. ISBN 9781441967091.
^"Xavier Tolsa, ICREA Research Professor". Departament de Matemàtiques Universitat Autonoma de Barcelona.
^"Premi Salem", Societat Catalana de Matemàtiques Notícies, July 2002, n°17, page 9
^"Prizes Presented at the European Congress of Mathematicians" (PDF). Notices of the AMS. 51 (9): 1070–1071. October 2004.
^Tolsa, Xavier (2013-12-16). Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory. ISBN 9783319005966.
XavierTolsa (born 1966) is a Catalan mathematician, specializing in analysis. Tolsa is a professor at the Autonomous University of Barcelona and at the...
Vitushkin's conjecture for the case dimHK = 1 and H1(K) < ∞. In 2002, XavierTolsa proved that analytic capacity is countably semiadditive. That is, there...
in the field eventually led to the solution of Painlevé's problem by XavierTolsa. His book Geometry of Sets and Measures in Euclidean Spaces: Fractals...
Riesz transform operator: the case of codimension 1", by Fedor Nazarov, XavierTolsa, and Alexander Volberg has been selected by the International Congress...
Temlyakov Tomohide Terasoma Chuu-Lian Terng Robin Thomas Simon Thomas XavierTolsa Luca Trevisan Neil Trudinger Yuri Tschinkel Eric Urban Juan Luis Vázquez...
Mark Goresky 2012: Angel Cano, Juan Pablo Navarrete, José Seade. 2013: XavierTolsa 2014: Veronique Fischer, Michael Ruzhansky 2015: Not awarded 2016: Vladimir...
made by Agustín Paz and executed by the Neoclassicist architect Manuel Tolsá. In 1904 the collegiate church was elevated to the rank of basilica. Just...
Arquitecto Manuel Tolsá ("From the roundabout to the fountain. 5 colors for Mexico, in situ work. Mexico City 2018. Memorial to architect Manuel Tolsá") at Artz...
Research Notices. 1995 (7): 325–331. doi:10.1155/S1073792895000249. Tolsa, Xavier (2000). "Principal values for the Cauchy integral and rectifiability"...
he was replaced by Manuel Tolsá, architect and sculptor driver of the Neoclassical, who arrived in the country in 1791. Tolsá is in charge of completing...
metric spaces" (PDF). Annales Academiæ Scientiarum Fennicæ. 32: 437–460. Tolsa, Xavier (2000). "Principal values for the Cauchy integral and rectifiability"...
hockey statistics and profile". hockeyDB.com. Retrieved October 4, 2016. "Xavier Ouellet hockey statistics and profile". hockeyDB.com. Retrieved October...
of Charles IV of Spain in Mexico city knowns as El Caballito, by Manuel Tolsá. . He opened in Facebook a group that made a proactive space where he continuously...
in Osaka, Japan. In 1982 he created a mural called Apoteosis de Manuel Tolsá y musa románticas made of wood, metal, tezontle and glass at the Escuela...
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