AbstractWe establish the pure point spectrum of the Laplacians on two point self-similar fractal graphs. All eigenvalues have infinite multiplicity and a countable system of orthonormal eigenfunctions with compact support is complete in the corresponding Hilbert space
This thesis presents an example of known discretization methods for spectral problems in partial die...
The study of self-adjoint operators on fractal spaces has been well developed on specific classes of...
The Hata tree is the unique self-similar set in the complex plane determined by the contractions φ0(...
We consider a simple self-similar sequence of graphs which does not satisfy the symmetry conditions ...
We consider the spectra of the Laplacians of two sequences of fractal graphs in the context of the g...
AbstractWe prove for the class of nested fractals introduced by T. Lindstrøm (1990, Memoirs Amer. Ma...
We study the spectral properties of the Laplacian on infinite Sierpin ski gaskets. We prove that th...
The recent field of analysis on fractals has been studied under a probabilistic and analytic point o...
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...
This thesis investigates the spectral zeta function of fractal differential operators such as the La...
AbstractUnder the assumption that a self-similar measure defined by a one-dimensional iterated funct...
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar...
We present a new method to approximate the Neumann spectrum of a Laplacian on a fractal K in the pla...
Abstract. We prove that the zeta-function ζ ∆ of the Laplacian ∆ on a self-similar fractals with spe...
This thesis presents an example of known discretization methods for spectral problems in partial die...
The study of self-adjoint operators on fractal spaces has been well developed on specific classes of...
The Hata tree is the unique self-similar set in the complex plane determined by the contractions φ0(...
We consider a simple self-similar sequence of graphs which does not satisfy the symmetry conditions ...
We consider the spectra of the Laplacians of two sequences of fractal graphs in the context of the g...
AbstractWe prove for the class of nested fractals introduced by T. Lindstrøm (1990, Memoirs Amer. Ma...
We study the spectral properties of the Laplacian on infinite Sierpin ski gaskets. We prove that th...
The recent field of analysis on fractals has been studied under a probabilistic and analytic point o...
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...
This thesis investigates the spectral zeta function of fractal differential operators such as the La...
AbstractUnder the assumption that a self-similar measure defined by a one-dimensional iterated funct...
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar...
We present a new method to approximate the Neumann spectrum of a Laplacian on a fractal K in the pla...
Abstract. We prove that the zeta-function ζ ∆ of the Laplacian ∆ on a self-similar fractals with spe...
This thesis presents an example of known discretization methods for spectral problems in partial die...
The study of self-adjoint operators on fractal spaces has been well developed on specific classes of...
The Hata tree is the unique self-similar set in the complex plane determined by the contractions φ0(...
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