Harmonic analysis at Mount Holyoke : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Harmonic Analysis, June 25-July 5, 2001, Mount Holyoke College, South Hadley, MA / William Beckner [and three others], editors.

Format:

Book

Conference/Event

Contributor:

Beckner, William, editor.

Conference Name:

AMS-IMS-SIAM Joint Summer Research Conference on Harmonic Analysis (2001 : Mount Holyoke College), issuing body.

Series:

Contemporary mathematics (American Mathematical Society) ; v. 320.

Contemporary mathematics, 0271-4132 ; 320

Language:

English

Subjects (All):

Harmonic analysis--Congresses.

Harmonic analysis.

Physical Description:

1 online resource (474 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2003]

Language Note:

English

Contents:

Intro

Contents

Preface

An almost-orthogonality principle in L2 for directional maximal functions

A note on Fourier restriction for curves in R3

Potential theory in Carnot groups

Quasi-affine systems and the Calderón condition

Pointwise Schauder estimates for second order linear equations in Carnot groups

A remark on an inequality of Katz and Tao

Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles

Type conditions and Lp-Lp, Lp-Lp' regularity of Fourier integral operators

Quasiconformal mappings on Carnot groups: Three examples

Limits of Almgren quasiminimal sets

Unconditional well-posedness for semilinear Schrödinger and wave equations in Hs

A note on oscillatory integrals and Bessel functions

The bilinear multiplier problem for the disc

Long thoughts on a conjecture of Fava, Gatto, and Gutiérrez

Three problems motivated by the average decay of the Fourier transform

Section 0: Maximal averages over fractals

Section I: Proof of Theorem 0.1

Section II: Proof of Lemma 1.1 and Lemma 1.2

Section III: Maximal functions over cubes

Section IV: Point-wise decay of the Fourier transform in the presence of curvature but very little smoothness

A partial result on Lipschitz differentiation

Sections of star bodies and the Fourier transform

The uncertainty principle for relatively dense sets and lacunary spectra

On the semiadditivity of analytic capacity and planar Cantor sets

Decomposition of Besov-Morrey spaces

On Schrödinger and wave maps

Sharp maximal function estimates for multilinear singular integrals

Fejér asymptotics and the Hilbert transform

Pointwise convergence of lacunary spherical means

Global existence for nonlinear wave equations with multiple speeds

KdV and almost conservation laws.

Null form estimates for second order hyperbolic operators with rough coefficients

Multi-dimensional Fejér kernel asymptotics

Norms of modes and quasi-modes revisited

K-functionals on L1(Rn) related to the Laplacian.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7910-3

0-8218-2903-3