Zobrazeno 1 - 10
of 829
pro vyhledávání: '"44a10"'
Autor:
Szabó, V. E. Sándor
We give simpler proof of known theorems, extend the validity of them, generalize them, correct some erroneous results, and prove some new results.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/2411.17670
Autor:
Ramm, Alexander G.
Sufficient conditions are given for a function $F(p)$ to be the Laplace transform of a function $f(t)$ or a distribution $f$. No assumption on $f$ is given a priori. It is not even assumed that $f=0$ for $t<0$.
Externí odkaz:
http://arxiv.org/abs/2411.12932
Autor:
Guella, Jean Carlo
In this paper, we present the general theory of embedding independence tests on Hilbert spaces that generalizes the concepts of distance covariance, distance multivariance and HSIC. This is done by defining new types of kernel on an $n$ Cartesian pro
Externí odkaz:
http://arxiv.org/abs/2411.08653
Publikováno v:
Mathematics (MDPI), Vol 2024, No 12, 3426
We compare the classical viscoelastic models due to Becker and Lomnitz with respect to a recent viscoelastic model based on the Lambert W function. We take advantage of this comparison to derive new analytical expressions for the relaxation spectrum
Externí odkaz:
http://arxiv.org/abs/2411.17025
Autor:
Debruyne, Gregory
We provide a general quantified Ingham-Karamata Tauberian theorem with a flexible one-sided Tauberian condition under several types of boundary behavior for the Laplace transform. Our results in particular improve a theorem by Stahn, removing a vexin
Externí odkaz:
http://arxiv.org/abs/2411.03809
Autor:
Alexopoulos, Joannis, de Rijk, Björn
Recently, a nonlinear stability theory has been developed for wave trains in reaction-diffusion systems relying on pure $L^\infty$-estimates. In the absence of localization of perturbations, it exploits diffusive decay caused by smoothing together wi
Externí odkaz:
http://arxiv.org/abs/2409.17859
Publikováno v:
Proceedings of the American Mathematical Society (2025)
This paper provides the first explicit formula for the expectation of the product of two disjoint principal minors of a Wishart random matrix, solving a part of a broader problem put forth by Samuel S. Wilks in 1934 in the Annals of Mathematics. The
Externí odkaz:
http://arxiv.org/abs/2409.14512
Autor:
Douçot, Jean
In some previous work, we defined an invariant of genus zero nonabelian Hodge spaces taking the form of a diagram. Here, enriching the diagram by fission data to obtain a refined invariant, the generic fission tree, including a partition of the core
Externí odkaz:
http://arxiv.org/abs/2409.12864
Nakamura and Tsuji recently obtained an integral inequality involving a Laplace transform of even functions that implies, at the limit, the Blaschke-Santal\'o inequality in its functional form. Inspired by their method, based on the Fokker-Planck sem
Externí odkaz:
http://arxiv.org/abs/2409.05541
We establish sharp inequalities involving the incomplete Beta and Gamma functions. These inequalities arise in the approximation of generalized Bernstein functions by higher order Thorin-Bernstein functions. Furthermore, new properties of a related f
Externí odkaz:
http://arxiv.org/abs/2409.02536