Title Harmonic Analysis at Mount Holyoke

Published Providence : American Mathematical Society, 2003

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Description 1 online resource (474 pages) Series Contemporary Mathematics ; v. 320 Contemporary Mathematics Contents 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 SzegÜ 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 examplesLimits of Almgren quasiminimal sets -- Unconditional well-posedness for semilinear SchrÜdinger 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 cubesSection 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 SchrÜdinger and wave maps -- Sharp maximal function estimates for multilinear singular integrals Fejér asymptotics and the Hilbert transformPointwise 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 English Print version record Subject Harmonic analysis -- Congresses Harmonic analysis Genre/Form Conference papers and proceedings Form Electronic book Author Nagel, Alexander Seeger, Andreas ISBN 9780821879108 0821879103

Other Titles Contemporary Mathematics Contemporary Mathematics, Volume 320 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

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