An important problem in analysis on fractals is the existence and the determination of an eigenform on a given finitely ramified fractal. It is known that on every fractal either with three vertices or with connected interior, an eigenform exists for suitable weights on the cells. In this paper, we prove that if the fractal has three vertices and connected interior, the form having all coefficients equal to 1 is an eigenform for suitable weights on the cells
Abstract. In this paper we study the spectral counting function of the weigh-ted p-laplacian in frac...
Under the assumption that a self-similar measure defined by a one-dimensional iterated function syst...
We study the eigenvalues and eigenfunctions of the Laplacians on [0, 1] which are defined by bounded...
An important problem in analysis on fractals is the existence and the determination of an eigenform ...
In this paper, I prove that on every fractal structure with three vertices, for suitable weights, th...
In this paper, I prove the existence of an eigenform for suitable weights, on a class of fractals in...
I give an explicitly verifiable necessary and sufficient condition for the uniqueness of the eigenfo...
A self-similar energy on finitely ramified fractals can be constructed starting from an eigenform, i...
Abstract. We study eigenvalues and eigenfunctions (vibration modes) on the class of self-similar sym...
It is well known that a Dirichlet form on a fractal structure can be defined as the limit of an incr...
AbstractA method for the computation of eigenfrequencies and eigenmodes of fractal drums is presente...
We derive the eigenvalues of a tridiagonal matrix with a special structure. A conjecture about the e...
Abstract. In this paper we study the spectral counting function of the weigh-ted p-laplacian in frac...
Under the assumption that a self-similar measure defined by a one-dimensional iterated function syst...
We study the eigenvalues and eigenfunctions of the Laplacians on [0, 1] which are defined by bounded...
An important problem in analysis on fractals is the existence and the determination of an eigenform ...
In this paper, I prove that on every fractal structure with three vertices, for suitable weights, th...
In this paper, I prove the existence of an eigenform for suitable weights, on a class of fractals in...
I give an explicitly verifiable necessary and sufficient condition for the uniqueness of the eigenfo...
A self-similar energy on finitely ramified fractals can be constructed starting from an eigenform, i...
Abstract. We study eigenvalues and eigenfunctions (vibration modes) on the class of self-similar sym...
It is well known that a Dirichlet form on a fractal structure can be defined as the limit of an incr...
AbstractA method for the computation of eigenfrequencies and eigenmodes of fractal drums is presente...
We derive the eigenvalues of a tridiagonal matrix with a special structure. A conjecture about the e...
Abstract. In this paper we study the spectral counting function of the weigh-ted p-laplacian in frac...
Under the assumption that a self-similar measure defined by a one-dimensional iterated function syst...
We study the eigenvalues and eigenfunctions of the Laplacians on [0, 1] which are defined by bounded...
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