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Dive into the research topics where Laura De Carli is active.

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Featured researches published by Laura De Carli.


Journal of Fourier Analysis and Applications | 1998

Some sharp restriction theorems for homogeneous manifolds

Laura De Carli; Alex Iosevich

We prove some restriction theorems for flat homogeneous surfaces of codimension greater than one.


Le Matematiche | 2010

A generalization of Bernoulli's inequality

Laura De Carli; Steve Hudson

We prove a generalization of Bernoullis inequality and we apply this generalization to sharpen certain Weierstrass product inequalities


Archive | 2008

Topics in classical analysis and applications in honor of Daniel Waterman

Laura De Carli; Kazaros Kazarian; Mario Milman

My Academic Life (D Waterman) Reminiscences (L J Lardy & J L Troutman) On Concentrating Idempotents, A Survey (M Ash) Variants of a Selection Principle for Sequences of Regulated and Non-regulated Functions (V V Chystyakov et al.) Local Lp Inequalities for Gegenbauer Polynomials (L De Carli) General Monotone Sequences and Convergence of Trigonometric Series (M Dyachenko & S Tikhonov) Using Integrals of Squares of Certain Real Valued Special Functions to Prove that the Polya Ξ*(z) Function, the Functions Kiz(a), a > 0, and Some Other Entire Functions Have Only Real Zeros (G Gasper) Functions whose Moments Form a Geometric Progression (M E H Ismail & X Li) Characterization of Scaling Functions in a Frame Multiresolution Analysis In H2G (K Kazarian & A San Antolin) An Abstract Coifman-Rochberg-Weiss Commutator Theorem (J Martin & M Milman) Convergence of Greedy Approximation with Regard to the Trigonometric System (V Temlyakov) Functions of Bounded -Variation (F Prus-Wisniowski).


Transactions of the American Mathematical Society | 2009

Growth of

J. Marshall Ash; Laura De Carli

For any convex polyhedron W in ℝ m , p ∈ (1,∞), and N > 1, there are constants γ 1 (W, p, m) and γ 2 (W, p,m) such that Similar results hold for more general regions. These results are various special cases of the inequalities where φ(N) = N p(m-1)/2 when p ∈ (1,2m/m+1), φ(N) = N p(m―1)/2 log N when p = 2m/m+1, and φ(N) = N m(p-1) when p > 2m/m+1 where B is a bounded subset of ℝ m with non-empty interior.


Archive | 2012

L^{p}

Laura De Carli

We provide L p →L q estimates for a class of Fourier multipliers supported in convex cones of { R } n+1. In particular, we consider cones whose boundary has n−1 nonvanishing principal curvatures and cones which are the convex envelope of N linearly independent half lines passing through the origin of { R } n+1. In some case our estimates are best possible.


arXiv: Functional Analysis | 2015

Lebesgue constants for convex polyhedra and other regions

Laura De Carli; Anudeep Kumar

We discuss existence and stability of Riesz bases of exponential type of L^2(T) for special domains T called trapezoids. We construct exponential bases on L^2(T) when T is a finite union of rectangles with the same height. We also generalize our main theorems in dimension d\ge 3.


Comptes Rendus De L Academie Des Sciences Serie I-mathematique | 2000

On Fourier Multipliers Over Tube Domains

Laura De Carli; Enrico Laeng

Let m be a bounded and monotonic function on R with λ=infm and Λ=supm. We study the best constant in the inequality ‖Tmf‖p≤c‖f‖p for 1<p<∞, where Tm is the Fourier multiplier associated to m. Our result is completely explicit when Λ=−λ and when Λ·λ=0. We also discuss the case of m with bounded variation.


Canadian Mathematical Bulletin | 2016

Exponential bases on two dimensional trapezoids

Laura De Carli; Gohin Shaikh Samad

We show that the discrete Hilbert transform and the discrete Kak-Hilbert transform are infinitesimal generator of one-parameter groups of operators


Canadian Mathematical Bulletin | 2005

On the (p,p) norm of monotonic Fourier multipliers

Laura De Carli

In this paper we prove the sharp inequality |Pn(s)(x)| = Pn(s)(1) (|x|n + {n-1}/{2 s+1} (1 - |x|n)), where Pn(s)(x) is the classical ultraspherical polynomial of degree n and order s = n frac{1 + v 5}{4}. This inequality can be refined in [0, zns] and [zns, 1], where zns denotes the largest zero of Pn(s) (x).


Israel Journal of Mathematics | 2000

One-parameter groups of operators and discrete Hilbert transforms

Laura De Carli

In this paper we prove a unique continuation theorem for elliptic operators of the formP(D)+V(x), whereP(D) has orderm≥2 and simple complex characteristics, andV(x)∈Ln/m(Rn). To prove our main theorem we use a restriction theorem for the Fourier transform to manifolds of codimension 2.

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Steve Hudson

Florida International University

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Alberto Mizrahi

Florida International University

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Julian Edward

Florida International University

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Zhongyuan Hu

Florida International University

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Alexander Tepper

Florida International University

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Anudeep Kumar

George Washington University

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