Zobrazeno 1 - 10
of 534
pro vyhledávání: '"Thiele, Christoph"'
We provide a complete solution to the problem of infinite quantum signal processing for the class of Szeg\H{o} functions, which are functions that satisfy a logarithmic integrability condition and include almost any function that allows for a quantum
Externí odkaz:
http://arxiv.org/abs/2407.05634
We prove a new generalization of a theorem of Carleson, namely bounds for a generalized Carleson operator on doubling metric measure spaces. Additionally, we explicitly reduce Carleson's classical result on pointwise convergence of Fourier series to
Externí odkaz:
http://arxiv.org/abs/2405.06423
We prove bounds in the strict local $L^{2}(\mathbb{R}^{d})$ range for trilinear Fourier multiplier forms with a $d$-dimensional singular subspace. Given a fixed parameter $K \ge 1$, we treat multipliers with non-degenerate singularity that are push-f
Externí odkaz:
http://arxiv.org/abs/2402.11661
Elucidating a connection with nonlinear Fourier analysis, we extend a well known algorithm in quantum signal processing to represent measurable signals by square summable sequences. Each coefficient of the sequence is Lipschitz continuous as a functi
Externí odkaz:
http://arxiv.org/abs/2310.12683
We prove an $r$-variation estimate, $r>4$, in the norm for ergodic averages with respect to three commuting transformations. It is not known whether such estimates hold for all $r\ge 2$ as in the analogous cases for one or two commuting transformatio
Externí odkaz:
http://arxiv.org/abs/2307.07372
We construct phase space localizing operators in all dimensions. These are frequency localized variants of the conditional expectation operator related to a dyadic stopping time. Our construction is an improvement over the so-called phase plane proje
Externí odkaz:
http://arxiv.org/abs/2210.16164
In the past decade, much effort has gone into understanding maximizers for Fourier restriction and extension inequalities. Nearly all of the cases in which maximizers for inequalities involving the restriction or extension operator have been successf
Externí odkaz:
http://arxiv.org/abs/2209.03916
We prove a range of $L^p$ bounds for singular Brascamp-Lieb forms with cubical structure. We pass through sparse and local bounds, the latter proved by an iteration of Fourier expansion, telescoping, and the Cauchy-Schwarz inequality. We allow $2^{m-
Externí odkaz:
http://arxiv.org/abs/2112.15101
Autor:
Graelmann, Frederike J., Gondorf, Fabian, Majlesain, Yasmin, Niemann, Birte, Klepac, Katarina, Gosejacob, Dominic, Gottschalk, Marlene, Mayer, Michelle, Iriady, Irina, Hatzfeld, Philip, Lindenberg, Sophie K., Wunderling, Klaus, Thiele, Christoph, Abdullah, Zeinab, He, Wei, Hiller, Karsten, Händler, Kristian, Beyer, Marc D., Ulas, Thomas, Pfeifer, Alexander, Esser, Charlotte, Weighardt, Heike, Förster, Irmgard, Reverte-Salisa, Laia
Publikováno v:
In Molecular Metabolism July 2024 85
