Results 241 to 250 of about 113,833 (283)
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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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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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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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Generalized Weyl–Heisenberg (GWH) groups
Analysis and Mathematical Physics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1992
For the introductory remarks of this chapter let us assume that L is a very ample line bundle on an abelian variety X = V/Λ and φ L : X ↪ ℙ N the associated embedding. Recall the group K(L) consisting of all x ∈ X with t x * L≃L. We will see that the translations of X by elements of K(L) extend to linear automorphisms of ℙ N .
Herbert Lange, Christina Birkenhake
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For the introductory remarks of this chapter let us assume that L is a very ample line bundle on an abelian variety X = V/Λ and φ L : X ↪ ℙ N the associated embedding. Recall the group K(L) consisting of all x ∈ X with t x * L≃L. We will see that the translations of X by elements of K(L) extend to linear automorphisms of ℙ N .
Herbert Lange, Christina Birkenhake
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Cancer statistics for African American/Black People 2022
Ca-A Cancer Journal for Clinicians, 2022Angela Giaquinto +2 more
exaly
Cancer statistics for the US Hispanic/Latino population, 2021
Ca-A Cancer Journal for Clinicians, 2021Kimberly D Miller +2 more
exaly