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Harmonic Analysis at Mount Holyoke.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Beckner, William
Otros Autores: Nagel, Alexander, Seeger, Andreas
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2003.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 SzegÃœ 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 SchrÃœdinger 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 SchrÃœdinger 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