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

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

Princeton University's Elias Stein was once the 1st mathematician to work out the profound interconnections that tie classical Fourier research to numerous complicated variables and illustration thought. His basic contributions contain the Kunze-Stein phenomenon, the development of recent representations, the Stein interpolation theorem, the belief of a limit theorem for the Fourier rework, 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 effect on his many collaborators and scholars, Stein has replaced arithmetic. Drawing proposal from Stein’s contributions to harmonic research and similar issues, this quantity gathers papers from across the world well known mathematicians, a lot of whom were Stein’s scholars. The publication additionally comprises expository papers on Stein’s paintings and its influence.

The individuals 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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