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Almost commuting unitary matrices related to time reversal
unitary matrices time reversal Operator Algebras
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2011/9/16
Abstract: The behavior of fermionic systems depends on the geometry of the system and the symmetry class of the Hamiltonian and observables. Almost commuting matrices arise from band-projected positio...
Unitary perturbations of compressed N-dimensional shifts
Hardy space model subspaces Aleksandrov disintegration theorem Clark’s unitary peturbations Aleksandrov-Clark measures
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2011/9/14
Abstract: Given a purely contractive matrix-valued analytic function $\Theta$ on the unit disc $\bm{D}$, we study the $\mc{U} (n)$-parameter family of unitary perturbations of the operator $Z_\Theta$ ...
Relative trace formulae toward Bessel and Fourier-Jacobi periods of unitary groups
Relative trace formulae Fourier-Jacobi periods of unitary groups
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2011/2/24
We propose a relative trace formula approach and state the corresponding fundamental lemma
toward the global restriction problem involving Bessel or Fourier-Jacobi periods of unitary groups Un×Um, ex...