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Trace coordinates on Fricke spaces of some simple hyperbolic surfaces
simple hyperbolic surfaces Fricke spaces
2015/9/29
The work of Fricke-Klein [20] develops the deformation theory of hyperbolic
structures on a surface Σ in terms of the space of representations of its fundamental group damental group π = π1(Σ) in SL(...
Koplienko gave a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class $\mathcal{B}_2(\mathcal{H})$. Recently Gesztesy, Pushnitski and Simon gave an alternati...
Abstract: We give criteria for products of Toeplitz and Hankel operators on the Fock (Segal-Bargmann) space to belong to the Dixmier class, and compute their Dixmier trace. At the same time, analogous...
Relative trace formulae toward Bessel and Fourier-Jacobi periods of unitary groups
Relative trace formulae Fourier-Jacobi periods of unitary groups
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...