Improved Fourier restriction estimates in higher dimensions
نویسندگان
چکیده
منابع مشابه
Fourier Restriction Estimates to Mixed Homogeneous Surfaces
Let a, b be real numbers such that 2 ≤ a < b, and let φ : R → R a mixed homogeneous function. We consider polynomial functions φ and also functions of the type φ (x1, x2) = A |x1| + B |x2| . Let Σ = {(x, φ (x)) : x ∈ B} with the Lebesgue induced measure. For f ∈ S ( R ) and x ∈ B, let (Rf) (x, φ (x)) = f̂ (x, φ (x)) , where f̂ denotes the usual Fourier transform. For a large class of functions φ ...
متن کاملEstimates for the Generalized Fourier-Bessel Transform in the Space L2
Some estimates are proved for the generalized Fourier-Bessel transform in the space (L^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.
متن کاملShadowing in Higher Dimensions
This paper presents methods using algebraic topology for showing that pseudo-trajectories are close to trajectories of a dynamical system. Our emphasis is the case where the trajectories are unstable in two or more dimensions. We develop the algebraic topology for guaranteeing the existence of such trajectories.
متن کاملBosonization in Higher Dimensions
Using the recently discovered connection between bosonization and duality transformations, we give an explicit path-integral representation for the bosonization of a massive fermion coupled to a U(1) gauge potential (such as electromagnetism) in d ≥ 2 space (D = d + 1 ≥ 3 spacetime) dimensions. We perform this integral explicitly in the limit of large fermion mass. We find that the bosonic theo...
متن کاملRendezvous in Higher Dimensions
Two players are placed on the integer lattice Z (consisting of points in n dimensional space with all coordinates integers) so that their vector difference is of length 2 and parallel to one of the axes. Their aim is to move to an adjacent node in each period, so that they meet (occupy same node) in least expected time R (n) , called the Rendezvous Value. We assume they have no common notion of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Cambridge Journal of Mathematics
سال: 2019
ISSN: 2168-0930,2168-0949
DOI: 10.4310/cjm.2019.v7.n3.a1