---
res:
bibo_abstract:
- We prove L p -bounds on the Fourier transform of measures μ supported on two dimensional
surfaces. Our method allows to consider surfaces whose Gauss curvature vanishes
on a one-dimensional submanifold. Under a certain non-degeneracy condition, we
prove that μ ∧ ε L 4+β, β > 0, and we give a logarithmically divergent bound
on the L 4-norm. We use this latter bound to estimate almost singular integrals
involving the dispersion relation, e(p)= ∑13 [1-\cos p_j]} , of the discrete Laplace
operator on the cubic lattice. We briefly explain our motivation for this bound
originating in the theory of random Schrödinger operators.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: László
foaf_name: László Erdös
foaf_surname: Erdös
foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0001-5366-9603
- foaf_Person:
foaf_givenName: Manfred
foaf_name: Salmhofer, Manfred
foaf_surname: Salmhofer
bibo_doi: 10.1007/s00209-007-0125-4
bibo_issue: '2'
bibo_volume: 257
dct_date: 2007^xs_gYear
dct_publisher: Springer@
dct_title: Decay of the Fourier transform of surfaces with vanishing curvature@
...