Results 181 to 190 of about 8,260 (218)
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2017
One of the big contributions of E. M. Stein is the development of harmonic analysis on the Heisenberg group. In a fundamental joint paper with G. B. Folland, Stein laid all the groundwork for this study. In this chapter we reproduce and develop some of that groundwork.
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One of the big contributions of E. M. Stein is the development of harmonic analysis on the Heisenberg group. In a fundamental joint paper with G. B. Folland, Stein laid all the groundwork for this study. In this chapter we reproduce and develop some of that groundwork.
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2014
In this chapter we prove the Stone-von Neumann Theorem, which gives a full characterization of the unitary dual of the Heisenberg group \({\cal H}\). We then apply the trace formula to describe the spectral decomposition of \({L^2}(\Lambda \backslash H)\), where π is the standard integer lattice in \({\cal H}\).
Anton Deitmar, Siegfried Echterhoff
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In this chapter we prove the Stone-von Neumann Theorem, which gives a full characterization of the unitary dual of the Heisenberg group \({\cal H}\). We then apply the trace formula to describe the spectral decomposition of \({L^2}(\Lambda \backslash H)\), where π is the standard integer lattice in \({\cal H}\).
Anton Deitmar, Siegfried Echterhoff
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Optimal Control on the Heisenberg Group
Journal of Dynamical and Control Systems, 1999The paper studies an optimal control problem where the controlled dynamics is given by the conservation of the angular momentum and the cost functional is described by the total kinetic energy. A geometric analysis of minimizing curves is provided.
Monroy-Pérez, F., Anzaldo-Meneses, A.
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2001
Abstract The Heisenberg Group and its Fundamental Representation Associated with the symplectic phase space V is the Heisenberg group. This matrix group is defined over Z, and gives the extension of Heis to characteristic 2. We prefer to keep the symmetric form of Heis, which shows more clearly the symmetry between x and y, ‘position ...
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Abstract The Heisenberg Group and its Fundamental Representation Associated with the symplectic phase space V is the Heisenberg group. This matrix group is defined over Z, and gives the extension of Heis to characteristic 2. We prefer to keep the symmetric form of Heis, which shows more clearly the symmetry between x and y, ‘position ...
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The Heisenberg group andK-theory
K-Theory, 1993A unifying proof of Bott periodicity and that of the Connes isomorphism theorem is given using continuous fields of \(C^*\)-algebras. The last theorem asserts that for each \(C^*\)-dynamical system \((A,\alpha)\) there is a canonical isomorphism of Abelian groups \(K_ *(A\rtimes_ \alpha\mathbb{R})\to K_{*+1}(A)\).
Elliott, George Arthur +2 more
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Optical antiferromagnetic electric Sα-flux with electroosmotic velocity in Heisenberg SH2
Optik, 2022Zeliha Körpinar, Talat Körpinar
exaly
Magnetism in One-Dimensional Systems—The Heisenberg Model for Infinite Spin
American Journal of Physics, 1964Fisher Michael E
exaly
Rectifiability and perimeter in the Heisenberg group
Mathematische Annalen, 2001Bruno Franchi +2 more
exaly