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Harmonic Analysis at Mount Holyoke
Edited by: William Beckner, University of Texas, Austin, TX, Alexander Nagel and Andreas Seeger, University of Wisconsin, Madison, WI, and Hart F. Smith, University of Washington, Seattle, WA
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Contemporary Mathematics
2003; 465 pp; softcover
Volume: 320
ISBN-10: 0-8218-2903-3
ISBN-13: 978-0-8218-2903-5
List Price: US$120
Member Price: US$96
Order Code: CONM/320
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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.

Readership

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

Table of Contents

  • A. Alfonseca, F. Soria, and A. Vargas -- An almost-orthogonality principle in \(L^2\) for directional maximal functions
  • J.-G. Bak and D. M. Oberlin -- A note on Fourier restriction for curves in \({\mathbb R}^3\)
  • Z. M. Balogh and J. T. Tyson -- Potential theory in Carnot groups
  • M. Bownik -- Quasi-affine systems and the Calderón condition
  • L. Capogna and Q. Han -- Pointwise Schauder estimates for second order linear equations in Carnot groups
  • A. Carbery -- A remark on an inequality of Katz and Tao
  • M. Christ -- Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles
  • A. Comech -- Type conditions and \(L\sp p\)-\(L\sp p\), \(L\sp p\)-\(L\sp{p'}\) regularity of Fourier integral operators
  • M. Cowling and H. M. Reimann -- Quasiconformal mappings on Carnot groups: Three examples
  • G. David -- Limits of Almgren quasiminimal sets
  • G. Furioli, F. Planchon, and E. Terraneo -- Unconditional well-posedness for semilinear Schrödinger and wave equations in \({\mathbf{H^s}}\)
  • G. Gigante and F. Soria -- A note on oscillatory integrals and Bessel functions
  • L. Grafakos and X. Li -- The bilinear multiplier problem for the disc
  • P. A. Hagelstein -- Long thoughts on a conjecture of Fava, Gatto, and Gutiérrez
  • A. Iosevich and E. Sawyer -- Three problems motivated by the average decay of the Fourier transform
  • N. H. Katz -- A partial result on Lipschitz differentiation
  • A. Koldobsky -- Sections of star bodies and the Fourier transform
  • O. Kovrizhkin -- The uncertainty principle for relatively dense sets and lacunary spectra
  • J. Mateu, X. Tolsa, and J. Verdera -- On the semiadditivity of analytic capacity and planar Cantor sets
  • A. L. Mazzucato -- Decomposition of Besov-Morrey spaces
  • A. R. Nahmod -- On Schrödinger and wave maps
  • C. Pérez and R. H. Torres -- Sharp maximal function estimates for multilinear singular integrals
  • M. A. Pinsky -- Fejér asymptotics and the Hilbert transform
  • A. Seeger, T. Tao, and J. Wright -- Pointwise convergence of lacunary spherical means
  • C. D. Sogge -- Global existence for nonlinear wave equations with multiple speeds
  • G. Staffilani -- KdV and almost conservation laws
  • D. Tataru -- Null form estimates for second order hyperbolic operators with rough coefficients
  • M. E. Taylor -- Multi-dimensional Fejér kernel asymptotics
  • J. A. Toth and S. Zelditch -- Norms of modes and quasi-modes revisited
  • W. Trebels and U. Westphal -- \(K\)-functionals on \(L^1({\mathbb R}^n)\) related to the Laplacian
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