Essays on Fourier Analysis in Honor of Elias M. Stein

Charles Fefferman, Robert Fefferman, Stephen Wainger (Herausgeber)

Buch | Hardcover

396 Seiten

2016
Princeton University Press (Verlag)
978-0-691-63294-0 (ISBN)

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This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M. Christ, R. R. Coifman, S. Dobyinsky, C. Fefferman, R. Fefferman, Y. Han, D. Jerison, P. W. Jones, C. Kenig, Y. Meyer, A. Nagel, D. H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T. H. Wolff. The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E. M. Stein, elliptic non-smooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space. Originally published in 1995.
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*FrontMatter, pg. i*CONTENTS, pg. v*INTRODUCTION, pg. vii*1. Selected Theorems by Eli Stein, pg. 1*2. Geometric Inequalities in Fourier Analysis, pg. 36*3. Representing Measures for Holomorphic Functions on Type 2 Wedges, pg. 69*4. Some New Estimates on Oscillatory Integrals, pg. 83*5. Dilations Associated to Flat Curves in Rn, pg. 113*6. Nonexistence of Invariant Analytic Hypoelliptic Differential Operators on Nilpotent Groups of Step Greater than Two, pg. 127*7. Operateurs Bilineaires et Renormalisation, pg. 146*8. Numerical Harmonic Analysis, pg. 162*9. Some Topics from Harmonic Analysis and Partial Differential Equations, pg. 175*10. Function Spaces on Spaces of Homogeneous Type, pg. 211*11. The First Nodal Set of a Convex Domain, pg. 225*12. On Removable Sets for Sobolev Spaces in the Plane, pg. 250*13. Oscillatory Integrals and Non-Linear Dispersive Equations, pg. 268*14. Singular Integrals and Fourier Integral Operators, pg. 286*15. Counterexamples with Harmonic Gradients in R3, pg. 321

Erscheinungsdatum	27.05.2016
Reihe/Serie	Princeton Mathematical Series
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 229 mm
Gewicht	709 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-691-63294-4 / 0691632944
ISBN-13	978-0-691-63294-0 / 9780691632940
Zustand	Neuware