A Fourier restriction theorem for a perturbed hyperbolic paraboloid
نویسندگان
چکیده
منابع مشابه
A Trilinear Restriction Problem for the Paraboloid in R
We establish a sharp trilinear inequality for the extension operator associated to the paraboloid in R3. Our proof relies on a recent generalisation of the classical Loomis–Whitney inequality.
متن کاملA locally optimal triangulation of the hyperbolic paraboloid
Pascal Desnoguès Olivier Devillers y Abstract: Given a set S of data points in IR2 and corresponding data values for a speci c non-convex surface, the unit hyperbolic paraboloid, we consider the problem of nding a locally optimal triangulation of S for the linear approximation of this surface. The chosen optimality criterion will be the L2 norm: it means that we will try to nd directly a triang...
متن کاملGENERALIZATION OF TITCHMARSH'S THEOREM FOR THE GENERALIZED FOURIER-BESSEL TRANSFORM
In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses of functions.
متن کاملA new minimax theorem and a perturbed James’s theorem
This paper is in two main parts. The first three sections give various result about bounded functions on an abstract set, while the last section is more functional–analytic in character. The main functional–analytic result is Theorem 14, which contains a sufficient condition for the minimax relation to hold for the canonical bilinear form on X × Y , where X is a nonempty convex subset of a real...
متن کاملA finiteness theorem for hyperbolic 3-manifolds
We prove that there are only finitely many closed hyperbolic 3-manifolds with injectivity radius and first eigenvalue of the Laplacian bounded below whose fundamental groups can be generated by a given number of elements.
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: Proceedings of the London Mathematical Society
سال: 2019
ISSN: 0024-6115,1460-244X
DOI: 10.1112/plms.12286