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pro vyhledávání: '"Direct integral"'
In this work, we introduce the concept of direct integral of locally Hilbert spaces by using the notion of locally standard measure space (analogous to standard measure space defined in the classical setup), which we obtain by considering a strictly
Externí odkaz:
http://arxiv.org/abs/2409.01200
Autor:
Elgindy, Kareem T., Refat, Hareth M.
This study is concerned with the numerical solution of a class of infinite-horizon linear regulation problems with state equality constraints and output feedback control. We propose two numerical methods to convert the optimal control problem into no
Externí odkaz:
http://arxiv.org/abs/2305.17646
This paper presents a computationally efficient framework for identifying resonance modes of 3D radio-frequency (RF) cavities with damping waveguide ports. The proposed framework relies on surface integral equation (IE) formulations to convert the ta
Externí odkaz:
http://arxiv.org/abs/2305.05918
Autor:
Wu, Bowei, Cho, Min Hyung
A boundary integral equation method for the 3-D Helmholtz equation in multilayered media with many quasi-periodic layers is presented. Compared with conventional quasi-periodic Green's function method, the new method is robust at all scattering param
Externí odkaz:
http://arxiv.org/abs/2211.14656
Autor:
Elgindy, Kareem T., Refat, Hareth M.
Publikováno v:
AIMS Mathematics, 2023, Volume 8, Issue 2: 3561-3605
We present a novel direct integral pseudospectral (PS) method (a direct IPS method) for solving a class of continuous-time infinite-horizon optimal control problems (IHOCs). The method transforms the IHOCs into finite-horizon optimal control problems
Externí odkaz:
http://arxiv.org/abs/2207.05467
Akademický článek
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Autor:
Wu, Bowei, Cho, Min Hyung
Publikováno v:
In Journal of Computational Physics 15 December 2023 495
Autor:
Wang, Hui, Fu, Yechen
Publikováno v:
In Applied Mathematics Letters December 2023 146
Autor:
Frahm, Jan
Publikováno v:
J. Lie Theory 32 (2022), no. 1, 191-196
The restriction of an irreducible unitary representation $\pi$ of a real reductive group $G$ to a reductive subgroup $H$ decomposes into a direct integral of irreducible unitary representations $\tau$ of $H$ with multiplicities $m(\pi,\tau)\in\mathbb
Externí odkaz:
http://arxiv.org/abs/2012.08942