This volume contains the Proceedings of the 8th International Conference on Harmonic Analysis and Partial Differential Equations, held in El Escorial, Madrid, Spain, on June 16-20, 2008.

Featured in this book are papers by Steve Hoffmann and Carlos Kenig, which are based on two mini-courses given at the conference. These papers present topics of current interest, which assume minimal background from the reader, and represent state-of-the-art research in a useful way for young researchers. Other papers in this volume cover a range of fields in Harmonic Analysis and Partial Differential Equations and, in particular, illustrate well the fruitful interplay between these two fields.

Readership

Graduate students and research mathematicians interested in harmonic analysis and partial differential equations.

Table of Contents

• A. Cohen, W. Dahmen, and R. DeVore -- Instance optimal decoding by thresholding in compressed sensing
• S. Hofmann -- Local $T(b)$ theorems and applications in PDE
• C. E. Kenig -- The global behavier of solutions to critical nonlinear dispersive and wave equations
• P. Auscher and J. M. Martell -- Weighted norm inequalities, off-diagonal estimates and elliptic operators
• J. Bennett -- Heat-flow monotonicity related to some inequalities in euclidean analysis
• A. Carbery -- A uniform sublevel set estimate
• P. Auscher, A. Axelsson, and A. McIntosh -- On a quadratic estimate related to the Kato conjecture and boundary value problems
• C. Muscalu -- Flag paraproducts
• J. Ortega-Cerdà and B. Pridhnani -- The Pólya-Tchebotaröv problem
• M. T. Lacey, S. Petermichl, J. C. Pipher, and B. D. Wick -- Iterated Riesz commutators: a simple proof of boundedness
• G. Garrigós and A. Seeger -- A mixed norm variant of Wolff's inequality for paraboloids
• S. Thangavelu -- On the unreasonable effectiveness of Gutzmer's formula
• L. Vega -- Bilinear virial identities and oscillatory integrals
• E. Hernández, H. Šikić, G. Weiss, and E. Wilson -- On the properties of the integer translates of a square integrable function