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.
Read Online or Download Advances in Analysis: The Legacy of Elias M. Stein (Princeton Mathematical Series) PDF
Similar functional analysis books
The aim of this monograph is to provide the present prestige of a swiftly constructing a part of a number of advanced variables, prompted through the applicability of powerful effects to algebraic geometry and differential geometry. Highlighted are the recent designated effects at the L² extension of holomorphic features.
Small-radius tubular constructions have attracted enormous realization within the previous few years, and are usually utilized in varied parts reminiscent of Mathematical Physics, Spectral Geometry and international research. during this monograph, we examine Laplace-like operators on skinny tubular buildings ("graph-like spaces''), and their traditional limits on metric graphs.
This obtainable monograph covers better order linear and nonlinear elliptic boundary worth difficulties in bounded domain names, generally with the biharmonic or poly-harmonic operator as best vital half. It presents quick entry to contemporary effects and references.
This is often thesecondpart of the second one revised and prolonged variation ofthe good proven monograph approximately functionality areas. it truly is an advent to operate areas outlined when it comes to differentiability and integrability periods. It offers a listing of assorted areas and merits as a guide should you use functionality areas to check different subject matters reminiscent of partial differential equations.
- Complex Analysis through Examples and Exercises (Texts in the Mathematical Sciences)
- Nonlinear Smoothing and Multiresolution Analysis: 150 (International Series of Numerical Mathematics)
- Functional Analysis and the Feynman Operator Calculus
- A Mathematical Introduction to Compressive Sensing (Applied and Numerical Harmonic Analysis)
Extra info for Advances in Analysis: The Legacy of Elias M. Stein (Princeton Mathematical Series)