Zobrazeno 1 - 10
of 3 931
pro vyhledávání: '"Karlheinz, P"'
We build on our recent results on the Lipschitz dependence of the extreme spectral values of one-parameter families of pseudodifferential operators with symbols in a weighted Sj\"ostrand class. We prove that larger symbol classes lead to H\"older con
Externí odkaz:
http://arxiv.org/abs/2407.18065
Metaplectic Wigner distributions are joint time-frequency representations that are parametrized by a symplectic matrix and generalize the short-time Fourier transform and the Wigner distribution. We investigate the question which metaplectic Wigner d
Externí odkaz:
http://arxiv.org/abs/2405.12112
Autor:
Hooft, Gerard t, Phillips, William D, Zeilinger, Anton, Allen, Roland, Baggott, Jim, Bouchet, Francois R, Cantanhede, Solange M G, Castanedo, Lazaro A M, Cetto, Ana Maria, Coley, Alan A, Dalton, Bryan J, Fahimi, Peyman, Franks, Sharon, Frano, Alex, Fry, Edward S, Goldfarb, Steven, Langanke, Karlheinz, Matta, Cherif F, Nanopoulos, Dimitri, Orzel, Chad, Patrick, Sam, Sanghai, Viraj A A, Schuller, Ivan K, Shpyrko, Oleg, Lidstrom, Suzy
Despite its amazing quantitative successes and contributions to revolutionary technologies, physics currently faces many unsolved mysteries ranging from the meaning of quantum mechanics to the nature of the dark energy that will determine the future
Externí odkaz:
http://arxiv.org/abs/2404.11724
In order to compute the Fourier transform of a function $f$ on the real line numerically, one samples $f$ on a grid and then takes the discrete Fourier transform. We derive exact error estimates for this procedure in terms of the decay and smoothness
Externí odkaz:
http://arxiv.org/abs/2403.03810
Autor:
Schreiber, Korbinian, Wunderlich, Timo, Spilger, Philipp, Billaudelle, Sebastian, Cramer, Benjamin, Stradmann, Yannik, Pehle, Christian, Müller, Eric, Petrovici, Mihai A., Schemmel, Johannes, Meier, Karlheinz
Bees display the remarkable ability to return home in a straight line after meandering excursions to their environment. Neurobiological imaging studies have revealed that this capability emerges from a path integration mechanism implemented within th
Externí odkaz:
http://arxiv.org/abs/2401.00473
We derive sufficient conditions for sampling with derivatives in shift-invariant spaces generated by a periodic exponential B-spline. The sufficient conditions are expressed with a new notion of measuring the gap between consecutive samples. These co
Externí odkaz:
http://arxiv.org/abs/2311.08352
Autor:
Fischer, Tobias, Guo, Gang, Langanke, Karlheinz, Martinez-Pinedo, Gabriel, Qian, Yong-Zhong, Wu, Meng-Ru
Publikováno v:
PPNP 137 (2024) 104107
Neutrinos are known to play important roles in many astrophysical scenarios from the early period of the big bang to current stellar evolution being a unique messenger of the fusion reactions occurring in the center of our sun. In particular, neutrin
Externí odkaz:
http://arxiv.org/abs/2308.03962
Autor:
Ehler, Martin, Gröchenig, Karlheinz
In analogy to classical spherical t-design points, we introduce the concept of t-design curves on the sphere. This means that the line integral along a t-design curve integrates polynomials of degree t exactly. For low degrees we construct explicit e
Externí odkaz:
http://arxiv.org/abs/2306.13152
Publikováno v:
Appl. Comput. Harmon. Anal. 71 (2024), Paper No. 101641, 23 pp
We introduce a new concept of variable bandwidth that is based on the truncation of Wilson expansions. For this model we derive both (nonuniform) sampling theorems, the complete reconstruction of $f$ from its samples, and necessary density conditions
Externí odkaz:
http://arxiv.org/abs/2305.17290
Publikováno v:
J. Math. Anal. Appl. 535 (2024), no. 2, Paper No. 128225, 30 pp
We study spectral subspaces of the Sturm-Liouville operator $f \mapsto -(pf')'$ on $\mathbb{R}$, where $p$ is a positive, piecewise constant function. Functions in these subspaces can be thought of as having a local bandwidth determined by $1/\sqrt{p
Externí odkaz:
http://arxiv.org/abs/2304.07811