Carleson's theorem with quadratic phase functions
نویسندگان
چکیده
منابع مشابه
Carleson’s Theorem with Quadratic Phase Functions
Cdf(x) = sup deg(p)=d ∣∣∣∣p.v. ∫ f(x− y)e(p(y)) dy y ∣∣∣∣ in which d is an integer, p is a polynomial of degree d, e(u) := e, f is a Schwarz function and the integral is understood in the principal value sense. This definition is motivated principally by the case d = 1. C1f controls the maximal partial Fourier integrals of f and it extends to a bounded map from L into itself for 1 < p < ∞. The ...
متن کاملHalf-quadratic cost functions for phase unwrapping.
We present a generic regularized formulation, based on robust half-quadratic regularization, for unwrapping noisy and discontinuous wrapped phase maps. Two cases are presented: the convex case and the nonconvex case. The unwrapped phase with the convex formulation is unique and robust to noise; however, the convex function solution deteriorates as a result of real discontinuities in phase maps....
متن کاملGroups with Quadratic-Non-Quadratic Dehn Functions
We construct a finitely presented group G with non-quadratic Dehn function f majorizable by a quadratic function on arbitrary long intervals.
متن کاملMinimizing quadratic functions with separable quadratic constraints
This article deals with minimizing quadratic functions with a special form of quadratic constraints that arise in 3D contact problems of linear elasticity with isotropic friction [Haslinger, J., Kučera, R. and Dostál, Z., 2004, An algorithm for the numerical realization of 3D contact problems with Coulomb friction. Journal of Computational and Applied Mathematics, 164/165, 387–408.]. The propos...
متن کاملTitchmarsh theorem for Jacobi Dini-Lipshitz functions
Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space $mathrm{L}_{(alpha,beta)}^{p}(mathbb{R}^{+})$, $(1< pleq 2)$. It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lip...
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: Studia Mathematica
سال: 2002
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm153-3-3