Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) /

This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ikromov, Isroil A. (Autor), Müller, Detlef (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Annals of Mathematics Studies ; 194
Temas:
Fourier analysis.
Hypersurfaces.
Polyhedra.
Surfaces, Algebraic.
MATHEMATICS / Geometry / General.
Airy cone.
Airy-type analysis.
Airy-type decompositions.
Fourier decay.
Fourier integral.
Fourier restriction estimate.
Fourier restriction problem.
Fourier restriction theorem.
Fourier restriction.
Fourier transform.
Greenleaf's restriction.
Lebesgue spaces.
LittlewoodАaley decomposition.
LittlewoodАaley theory.
Newton polyhedra.
Newton polyhedral.
Newton polyhedron.
SteinДomas-type Fourier restriction.
auxiliary results.
complex interpolation.
dyadic decomposition.
dyadic decompositions.
dyadic domain decompositions.
endpoint estimates.
endpoint result.
improved estimates.
interpolation arguments.
interpolation theorem.
invariant description.
linear coordinates.
linearly adapted coordinates.
normalized measures.
normalized rescale measures.
one-dimensional oscillatory integrals.
open cases.
operator norms.
phase functions.
preparatory results.
principal root jet.
propositions.
r-height.
real interpolation.
real-analytic hypersurface.
refined Airy-type analysis.
restriction estimates.
restriction.
smooth hypersurface.
smooth hypersurfaces.
spectral localization.
stopping-time algorithm.
sublevel type.
thin sets.
three dimensions.
transition domains.
uniform bounds.
van der Corput-type estimates.
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