AbstractLet X be a Riemannian surface of finite geometric type and with hyperbolic ends. The resolvent (ΔX−s(1−s))−1, Re s > 1 of the Laplacian on X extends to a meromorphic family of operators on C and its poles are called resonances. We prove an optimal polynomial bound for their counting function
We present a wave group version of the Selberg trace formula for an arbitrary surface of nite geomet...
Abstract. Let X = X1×X2 be a direct product of two rank-one Riemannian symmetric spaces of the nonco...
We improve Montgomery’s Ω-results for |ζ(σ + it)| in the strip 1/2 σ 1 and give in particular lower ...
AbstractLet X be a Riemannian surface of finite geometric type and with hyperbolic ends. The resolve...
We establish a sharp geometric constant for the upper bound on the resonance counting function for s...
We establish a sharp geometric constant for the upper bound on the resonance counting function for s...
For infinite-area, geometrically finite surfaces X = 0\H2, we prove new omega lower bounds on the lo...
Let $X=G/K$ be a Riemannian symmetric space of the noncompact type and restricted root system $BC_2$...
We prove a polynomial upper bound on the number of resonances in a disc whose radius tends to infini...
Abstract. For a conformally compact manifold that is hyperbolic near infinity and of dimension n + 1...
Abstract. Let X = Γ\H2 be a convex co-compact hyperbolic surface. We show that the density of resona...
We prove some sharp upper bounds on the number of resonances associated with the Laplacian, or Lapla...
A resonance is a complex number 2 C describing a nonstable quantum state os-cillating with a freque...
Rapporteurs : Peter Perry, Vesselin Petkov / Président : Gilles Carron / Jury : Nicolas Burq, Lauren...
Abstract. We study the distribution of resonances for geometrically finite hyperbolic surfaces of in...
We present a wave group version of the Selberg trace formula for an arbitrary surface of nite geomet...
Abstract. Let X = X1×X2 be a direct product of two rank-one Riemannian symmetric spaces of the nonco...
We improve Montgomery’s Ω-results for |ζ(σ + it)| in the strip 1/2 σ 1 and give in particular lower ...
AbstractLet X be a Riemannian surface of finite geometric type and with hyperbolic ends. The resolve...
We establish a sharp geometric constant for the upper bound on the resonance counting function for s...
We establish a sharp geometric constant for the upper bound on the resonance counting function for s...
For infinite-area, geometrically finite surfaces X = 0\H2, we prove new omega lower bounds on the lo...
Let $X=G/K$ be a Riemannian symmetric space of the noncompact type and restricted root system $BC_2$...
We prove a polynomial upper bound on the number of resonances in a disc whose radius tends to infini...
Abstract. For a conformally compact manifold that is hyperbolic near infinity and of dimension n + 1...
Abstract. Let X = Γ\H2 be a convex co-compact hyperbolic surface. We show that the density of resona...
We prove some sharp upper bounds on the number of resonances associated with the Laplacian, or Lapla...
A resonance is a complex number 2 C describing a nonstable quantum state os-cillating with a freque...
Rapporteurs : Peter Perry, Vesselin Petkov / Président : Gilles Carron / Jury : Nicolas Burq, Lauren...
Abstract. We study the distribution of resonances for geometrically finite hyperbolic surfaces of in...
We present a wave group version of the Selberg trace formula for an arbitrary surface of nite geomet...
Abstract. Let X = X1×X2 be a direct product of two rank-one Riemannian symmetric spaces of the nonco...
We improve Montgomery’s Ω-results for |ζ(σ + it)| in the strip 1/2 σ 1 and give in particular lower ...
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