Advances in analysis : the legacy of Elias M. Stein (Book, 2014) [WorldCat.org]
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Advances in analysis : the legacy of Elias M. Stein

Author: Charles Fefferman; Alexandru D Ionescu; Duong H Phong; Stephen Wainger
Publisher: Princeton ; Oxford : Princeton University Press, cop. 2014.
Series: Princeton mathematical series, 50.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:
"Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the Kunze-Stein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp  Read more...
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Genre/Form: Conference papers and proceedings
Congresses
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Charles Fefferman; Alexandru D Ionescu; Duong H Phong; Stephen Wainger
ISBN: 9780691159416 0691159416
OCLC Number: 871316561
Notes: Actes de la conference "Analysis and applications" tenue en mai 2011 en l'honneur du 80e anniversaire de Elias M. Stein.
Description: 1 vol. (VIII-461 p.) : fig., jaq. ill. ; 24 cm.
Contents: Preface ix Chapter 1 Selected Theorems by Eli Stein 1 Charles Fefferman Chapter 2 Eli's Impact: A Case Study 35 Charles Fefferman Chapter 3 On Oscillatory Integral Operators in Higher Dimensions 47 Jean Bourgain Chapter 4 Holder Regularity for Generalized Master Equations with Rough Kernels 63 Luis Caffarelli and Luis Silvestre Chapter 5 Extremizers of a Radon Transform Inequality 84 Michael Christ Chapter 6 Should We Solve Plateau's Problem Again? 108 Guy David Chapter 7 Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms 146 Alexandru D. Ionescu, Akos Magyar, and Stephen Wainger Chapter 8 Internal DLA for Cylinders 189 David Jerison, Lionel Levine, and Scott Sheffield Chapter 9 The Energy Critical Wave Equation in 3D 215 Carlos Kenig Chapter 10 On the Bounded L2 Curvature Conjecture 224 Sergiu Klainerman Chapter 11 On Div-Curl for Higher Order 245 Loredana Lanzani and Andrew S. Raich Chapter 12 Square Functions and Maximal Operators Associated with Radial Fourier Multipliers 273 Sanghyuk Lee, Keith M. Rogers, and Andreas Seeger Chapter 13 Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in 3, and Newton Polyhedra 303 Detlef Muller Chapter 14 Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length 346 Camil Muscalu, Terence Tao, and Christoph Thiele Chapter 15 Diagonal Estimates for Bergman Kernels in Monomial-Type Domains 402 Alexander Nagel and Malabika Pramanik Chapter 16 On the Singularities of the Pluricomplex Green's Function 419 D. H. Phong and Jacob Sturm Chapter 17 Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs 436 Fulvio Ricci Chapter 18 On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature 447 Christopher D. Sogge and Steve Zelditch List of Contributors 463 Index 465
Series Title: Princeton mathematical series, 50.
Other Titles: Mélanges.
Responsibility: edited by Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger.
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Abstract:

Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. This  Read more...

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