Results 41 to 50 of about 2,907 (125)
Multi-frequency Calderon-Zygmund analysis and connexion to Bochner-Riesz multipliers [PDF]
, 2013 In this work, we describe several results exhibited during a talk at the El Escorial 2012 conference. We aim to pursue the development of a multi-frequency Calderon-Zygmund analysis introduced in [9].
Bernicot, Frederic
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International Statistical Review, Volume 93, Issue 2, Page 317-348, August 2025.Summary Statistical depth is the act of gauging how representative a point is compared with a reference probability measure. The depth allows introducing rankings and orderings to data living in multivariate, or function spaces. Though widely applied and with much experimental success, little theoretical progress has been made in analysing functional ...
George Wynne, Stanislav Nagy
wiley +1 more source
, 2005 We investigate analogues for curves of the Kakeya problem for straight lines. These arise from H"ormander-type oscillatory integrals in the same way as the straight line case comes from the restriction and Bochner-Riesz problems.
Wisewell, Laura
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Mean‐field limit of non‐exchangeable systems
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin +2 more
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Sharp spectral multipliers for a new class of Grushin type operators
, 2012 We describe weighted Plancherel estimates and sharp Hebisch-M\"uller-Stein type spectral multiplier result for a new class of Grushin type operators.
Chen, Peng, Sikora, Adam
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2267-2293, 30 January 2025.We study the Helmholtz equation with periodic coefficients in a closed waveguide. A functional analytic approach is used to formulate and solve the radiation problem in a self‐contained exposition. In this context, we simplify the non‐degeneracy assumption on the frequency.
A. Kirsch, B. Schweizer
wiley +1 more source
Compressive Space-Time Galerkin Discretizations of Parabolic Partial Differential Equations [PDF]
, 2015 We study linear parabolic initial-value problems in a space-time variational formulation based on fractional calculus. This formulation uses "time derivatives of order one half" on the bi-infinite time axis.
Larsson, Stig, Schwab, Christoph
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Mathematische Nachrichten, Volume 297, Issue 2, Page 716-740, February 2024.Abstract In this paper, we study the class of tempered distributions whose Fourier transform is a translation bounded measure and show that each such distribution in Rd${\mathbb {R}}^d$ has order at most 2d. We show the existence of the generalized Eberlein decomposition within this class of distributions, and its compatibility with all previous ...
Timo Spindeler, Nicolae Strungaru
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Journal of Mathematics, Volume 2024, Issue 1, 2024.We consider a regularized periodic three‐dimensional Boussinesq system. For a mean free initial temperature, we use the coupling between the velocity and temperature to close the energy estimates independently of time. This allows proving the existence of a global in time unique weak solution.
Ridha Selmi +2 more
wiley +1 more source
Bilinear Bochner-Riesz Means on Métivier groups
41 pages, 2 ...
Bagchi, Sayan +2 more
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