**Contemporary Mathematics**

Volume: 320;
2003;
465 pp;
Softcover

MSC: Primary 42; 32; 35;

Print ISBN: 978-0-8218-2903-5

Product Code: CONM/320

List Price: $120.00

Individual Member Price: $96.00

**Electronic ISBN: 978-0-8218-7910-8
Product Code: CONM/320.E**

List Price: $120.00

Individual Member Price: $96.00

# Harmonic Analysis at Mount Holyoke

Share this page *Edited by *
*William Beckner; Alexander Nagel; Andreas Seeger; Hart F. Smith*

This volume contains the proceedings of the conference on harmonic analysis and related areas. The conference provided an opportunity for researchers and students to exchange ideas and report on progress in this large and central field of modern mathematics.

The volume is suitable for graduate students and research mathematicians interested in harmonic analysis and related areas.

#### Table of Contents

# Table of Contents

## Harmonic Analysis at Mount Holyoke

- Contents iii4 free
- Preface v6 free
- An almost-orthogonality principle in L2 for directional maximal functions 18 free
- A note on Fourier restriction for curves in R3 916
- Potential theory in Carnot groups 1522
- Quasi-affine systems and the Calderón condition 2936
- Pointwise Schauder estimates for second order linear equations in Carnot groups 4552
- A remark on an inequality of Katz and Tao 7178
- Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles 7784
- Type conditions and Lp-Lp, Lp-Lp' regularity of Fourier integral operators 9198
- Quasiconformal mappings on Carnot groups: Three examples 111118
- Limits of Almgren quasiminimal sets 119126
- Unconditional well-posedness for semilinear Schrödinger and wave equations in Hs 147154
- A note on oscillatory integrals and Bessel functions 157164
- The bilinear multiplier problem for the disc 173180
- Long thoughts on a conjecture of Fava, Gatto, and Gutiérrez 195202
- Three problems motivated by the average decay of the Fourier transform 205212
- Section 0: Maximal averages over fractals 206213
- Section I: Proof of Theorem 0.1 208215
- Section II: Proof of Lemma 1.1 and Lemma 1.2 210217
- Section III: Maximal functions over cubes 211218
- Section IV: Point-wise decay of the Fourier transform in the presence of curvature but very little smoothness 212219

- A partial result on Lipschitz differentiation 217224
- Sections of star bodies and the Fourier transform 225232
- The uncertainty principle for relatively dense sets and lacunary spectra 249256
- On the semiadditivity of analytic capacity and planar Cantor sets 259266
- Decomposition of Besov-Morrey spaces 279286
- On Schrödinger and wave maps 295302
- Sharp maximal function estimates for multilinear singular integrals 323330
- Fejér asymptotics and the Hilbert transform 333340
- Pointwise convergence of lacunary spherical means 341348
- Global existence for nonlinear wave equations with multiple speeds 353360
- KdV and almost conservation laws 367374
- Null form estimates for second order hyperbolic operators with rough coefficients 383390
- Multi-dimensional Fejér kernel asymptotics 411418
- Norms of modes and quasi-modes revisited 435442
- K-functionals on L1(Rn) related to the Laplacian 459466

#### Readership

Graduate students and research mathematicians interested in harmonic analysis and related areas.