AbstractLet Γ be a geometrically finite group acting on the hyperbolic space HN + 1 and let HΓ denote the Laplace-Beltrami operator on M = ΓβHN + 1, which we assume is not compact. If M is either of finite volume or cusp-free, we determine completely the Lp spectrum of HΓ for 1 ⩽ p < ∞, finding that it depends upon p in a nontrivial manner. We also obtain a number of pointwise and Lp decay properties of the L2 eigenfunctions associated with eigenvalues E in the range 0 ⩽ E < N24
Given a geometrically finite hyperbolic surface of infinite volume it is a classical result of Patte...
Let X = G/K be a symmetric space of noncompact type, L be the Laplace-Beltrami operator on X, and b ...
We apply topological methods to study eigenvalues of the Laplacian on closed hyperbolic surfaces. Fo...
AbstractLet Γ be a geometrically finite group acting on the hyperbolic space HN + 1 and let HΓ denot...
AbstractUsing techniques of stationary scattering theory for the Schrödinger equation, we show absen...
Let X = G/K be a symmetric space of noncompact type, L be the Laplace-Beltrami operator on X, and b ...
A discrete spectrum of Laplace operators on fundamental areas of discrete groups of Lobachevsky spac...
22 pages; changed title; improved exposition and gave more details in some of the proofs.To the memo...
AbstractThe spectrum of the Laplace operator on finite area non-compact surfaces becomes stable if o...
AbstractIn this paper we first derive several results concerning the Lp spectrum of locally symmetri...
AbstractLet X be a projective real, complex, or quaternion hyperbolic space, realized as the pseudo-...
AbstractWe obtain the Plancherel theorem for L2(Γ\G), where G is a classical simple Lie group of rea...
AbstractThe central aim of this paper is the study of the spectrum of the Hodge Laplacian on differe...
This paper is the third of a series on semigroups of operator related to the Laplace Beltrami operat...
We develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions...
Given a geometrically finite hyperbolic surface of infinite volume it is a classical result of Patte...
Let X = G/K be a symmetric space of noncompact type, L be the Laplace-Beltrami operator on X, and b ...
We apply topological methods to study eigenvalues of the Laplacian on closed hyperbolic surfaces. Fo...
AbstractLet Γ be a geometrically finite group acting on the hyperbolic space HN + 1 and let HΓ denot...
AbstractUsing techniques of stationary scattering theory for the Schrödinger equation, we show absen...
Let X = G/K be a symmetric space of noncompact type, L be the Laplace-Beltrami operator on X, and b ...
A discrete spectrum of Laplace operators on fundamental areas of discrete groups of Lobachevsky spac...
22 pages; changed title; improved exposition and gave more details in some of the proofs.To the memo...
AbstractThe spectrum of the Laplace operator on finite area non-compact surfaces becomes stable if o...
AbstractIn this paper we first derive several results concerning the Lp spectrum of locally symmetri...
AbstractLet X be a projective real, complex, or quaternion hyperbolic space, realized as the pseudo-...
AbstractWe obtain the Plancherel theorem for L2(Γ\G), where G is a classical simple Lie group of rea...
AbstractThe central aim of this paper is the study of the spectrum of the Hodge Laplacian on differe...
This paper is the third of a series on semigroups of operator related to the Laplace Beltrami operat...
We develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions...
Given a geometrically finite hyperbolic surface of infinite volume it is a classical result of Patte...
Let X = G/K be a symmetric space of noncompact type, L be the Laplace-Beltrami operator on X, and b ...
We apply topological methods to study eigenvalues of the Laplacian on closed hyperbolic surfaces. Fo...
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