Results 121 to 130 of about 1,157 (152)

An Elliptic Type Inclusion Problem on the Heisenberg Lie Group

Mathematica Slovaca, 2023
ABSTRACT Here, the solvability of the following inclusion elliptic problem
Razani, Abdolrahman, Safari, Farzaneh
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Heisenberg uncertainty inequality for Gabor transform on nilpotent Lie groups

Analysis Mathematica, 2021
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Smaoui, K., Abid, K.
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Existence and multiplicity of solutions for a weighted $(p,q)$-Laplacian problem on the Heisenberg Lie groups

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Razani, Abdolrahman, Safari, Farzaneh, Figueiredo, Giovany M.   +2 more
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Heisenberg subgroups of semisimple Lie groups

Journal of Mathematical Physics, 1975
The restriction of a unitary representation of a semisimple Lie group to a Heisenberg subgroup Hn is shown to be quasiequivalent to the regular representation of Hn. Spectral properties of elements of the Heisenberg subgroup are described. Conditions under which an element of a semisimple Lie algebra may be embedded in a Heisenberg algebra are found.
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Heisenberg uncertainty inequality for certain Lie groups

Asian-European Journal of Mathematics, 2019
We establish analogues of Heisenberg uncertainty inequality for some classes of Lie groups, such as connected and simply connected nilpotent Lie groups, diamond Lie groups and Heisenberg motion groups.
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Heisenberg–Pauli–Weyl inequality for connected nilpotent Lie groups

International Journal of Mathematics, 2018
The purpose of this paper is to formulate and prove an analogue of the classical Heisenberg–Pauli–Weyl uncertainty inequality for connected nilpotent Lie groups with noncompact center. Representation theory and a localized Plancherel formula play an important role in the proof.
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Optimal control analysis and PID controller design for the Heisenberg Lie group H(3)

2016 IEEE 1st International Conference on Power Electronics, Intelligent Control and Energy Systems (ICPEICES), 2016
This work is a study on left-invariant, drift free optimal control problem on H(3) Lie group. The control objective is to minimize the cost function and steer the system in non-ideal environment. The stability of the resulting dynamics has been studied and PID controllers have been designed at the equilibrium points.
Soumya Ranjan Sahoo, Amit Jena
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Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type

American Journal of Mathematics, 2002
In groups of Heisenberg type we introduce a large class of domains, which we call ADP, admissible for the Dirichlet problem , and we prove that on the boundary of such domains, harmonic measure, ordinary surface measure, and the perimeter measure, are mutually absolutely continuous.
CAPOGNA L., GAROFALO, NICOLA, NHIEU D. M.   +2 more
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Analog radar signal design and digital signal processing —a Heisenberg nilpotent Lie group approach

2008
The notions of analog and digital radar auto- and cross-ambiguity functions are on the borderline with mathematics, physics, and electrical engineering. This paper presents the solutions of two problems of analog radar signal design: the synthesis problem (posed in 1953) and the invariance problem for ambiguity surfaces over the symplectic time ...
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Integration by parts and Bismut-Elworthy-Li-type formula on the Heisenberg Lie group using the hypoelliptic measure

Physica Scripta
Abstract We study left-invariant vector fields defined on the Heisenberg Lie group and the associated stochastic differential equation, expressed in terms of a hypoelliptic operator. Utilizing the Bismut tangent space, we derive a new integration by parts formula on the path space of the Heisenberg Lie group using the hypoelliptic ...
Roberta R Albuquerque, Antônio M S Macêdo, Raydonal Ospina   +2 more
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