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Advances in Analysis: The Legacy of Elias M. Stein by Charles Fefferman,Alexandru D. Ionescu,D.H. Phong,Stephen

By Charles Fefferman,Alexandru D. Ionescu,D.H. Phong,Stephen Wainger

Princeton University's Elias Stein used to be the 1st mathematician to work out the profound interconnections that tie classical Fourier research to a number of advanced variables and illustration conception. His basic contributions contain the Kunze-Stein phenomenon, the development of recent representations, the Stein interpolation theorem, the belief of a restrict theorem for the Fourier remodel, and the speculation of Hp areas in different variables. via his nice discoveries, via books that experience set the top normal for mathematical exposition, and during his impression on his many collaborators and scholars, Stein has replaced arithmetic. Drawing notion from Stein’s contributions to harmonic research and similar subject matters, this quantity gathers papers from the world over well known mathematicians, a lot of whom were Stein’s scholars. The booklet additionally contains expository papers on Stein’s paintings and its influence.

The members are Jean Bourgain, Luis Caffarelli, Michael Christ, man David, Charles Fefferman, Alexandru D. Ionescu, David Jerison, Carlos Kenig, Sergiu Klainerman, Loredana Lanzani, Sanghyuk Lee, Lionel Levine, Akos Magyar, Detlef Müller, Camil Muscalu, Alexander Nagel, D. H. Phong, Malabika Pramanik, Andrew S. Raich, Fulvio Ricci, Keith M. Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher D. Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch.

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