Conference on Modern trends in Fourier analysis
CONTRIBUTIONS
abstracts
1 - Endpoint estimates for higher-order Marcinkiewicz multipliers | Valentina Ciccone
2 - A counterexample to the Mizohata-Takeuchi conjecture | Hannah Cairo
3 - Ahlfors regular domains and Carleson’s conjecture | Emily Casey
4 - The bilinear Bochner-Riesz problem | Surjeet Singh Choudhary
5 - A unified approach to the L^p-boundedness and inversion of the totally-geodesic k-Plane transform on spaces of constant curvature | Aniruddha Deshmukh
6 - Measures minimizing the doubling constant on a metric space | Fernando Benito Fernández de la Cigoña
7 - Equidistribution of points from the Harmonic Ensemble and other Point Processes | Pablo Garcia Arias
8 - Sobolev Smoothness through Spline Frames: An Edge Case | Andrew Haar
9 - Extremizers of multilinear randon-like transforms | Kaiyi Huang
10 - Stein-Weiss inequality on non-compact symmetric spaces | Vishvesh Kumar
11 - Latest developments on Hardy’s Uncertainty Principle | Elena Cordero
12 - The Fourier transform of BV functions, perimeters, and discrepancy | Thomas Beretti
13 - Time-frequency analysis and quasicrystals of Fourier type | Paolo Boggiatto
14 - The time-frequency analysis of the uniform bounds for Hilbert Forms | Marco Fraccaroli
15 - Phaseless sampling of the short-time Fourier transform | Lukas Liehr
16 - General Monotonicity and Hardy-Littlewood-Type Theorems | Askhat Mukanov
17 - Global Optimality of Fibonacci Lattices in the Torus | Nicolas Nagel
18 - Quadratic Spectral Concentration of Characteristic Functions | Kristina Oganesyan
A theorem of Donoho and Stark states that decreasing rearrangement increases the quadratic spectral concentration of a square integrable function supported on a sufficiently small set. Importantly, their condition on the smallness of the support turns out to be necessary. In this talk, we restrict ourselves to considering only characeristic functions and, in this setting, we are able to relax the condition of Donoho and Stark. We also discuss various properties of the sets of fixed measure maximizing the quadratic spectral concentration of their characteristic functions. As a corollary, we obtain a sharp (up to a constant) estimate for the L2-norms of non-harmonic trigonometric polynomials with
alternating coefficients.
19 - L^{2} -weighted Fourier restriction estimates for quadratic manifolds of arbitrary codimensions | Yixuan Pang
20 - Weighted Bilinear Multiplier Theorems in Dunkl Setting via Singular Integrals | Sanjay Parui
21 - New perspectives in phase-space analysis and Fourier restriction | Itamar Oliveira
22 - Sampling designs for function recovery and related problems | Kateryna Pozharska
23 - Understanding of linear operators through Wigner analysis | Edoardo Pucci
24 - An extremal property of the Fourier operator | Miquel Saucedo
We will show that the Fourier operator can only be bounded if a large family of related operators is also bounded, and we will discuss some applications of this result.
Joint work with Sergey Tikhonov.
25 - An Uncertainty Principle for the Fourier Bessel Transform | Rahul Sethi
26 - Stable phase retrieval | Mitchell Taylor
27 - Incidence bounds related to circular Furstenberg sets | Sarah Tammen
28 - A classification of Fourier Summation formulas | Guilherme Vedana
29 - Usual square function on “weakly flat” one-dimensional sets | Tobias Wang
30 - Concentration in the Fourier Symmetric Sobolev space | Denis Zelent
31 - Stability of shifts, interpolation and crystalline measures | Ilia Zlotnikov
32 - Hartley-Bessel-Boas's Theorem | Radouan Daher
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