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Generalized eigenfunctions and a Borel Theorem on the Sierpinski Gasket
Generalized eigenfunctions Borel Theorem Sierpinski Gasket
2015/12/10
There is a well developed theory (see [5, 9]) of analysis on certain types of fractal sets, of which the Sierpinski Gasket (SG) is the simplest non-trivial example. In this theory the fractals are vie...
SZEGO LIMIT THEOREMS ON THE SIERPINSKI GASKET
Analysis on Fractals equally distributed sequences Laplacian localized eigenfunctions Sierpinski gasket strong Szego limit theorem
2015/12/10
We use the existence of localized eigenfunctions of the Laplacian on the Sierpinski gasket (SG) to formulate and prove analogues of the strong Szego limit theorem in this fractal setting.Furthermore, ...
SOME SPECTRAL PROPERTIES OF PSEUDO-DIFFERENTIAL OPERATORS ON THE SIERPINSKI GASKET
Analysis on fractals localized eigenfunctions Sierpiński gasket Szego limit theorem
2015/12/10
We prove versions of the strong Szëgo limit theorem for certain classes of pseudodifferential operators defined on the Sierpiński gasket. Ourresults used in a fundamental way the existence of loc...