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Potential theory of Schrödinger operator based on fractional Laplacian
symmetric a-stable Gvy process Feynman-Kac semigroup Schrodinger operator q-harmonic functions
2009/9/22
We develop potential theory of Schrdinger operators
based on fractional Laplacian on Euclidean spaces of arbitrary dimension.
We focus on questions related to gaugeability and existence of
q-harmon...
On a theorem in multi-parameter potential theory
multi-parameter potential theory L'evy process
2009/3/30
We prove that the expected Lebesgue measure of the range of an additive L'evy process is positive if and only if the product Re([1+Psi_1(xi)]^{-1})...Re([1+Psi_N(xi)]^{-1}) is integrable. This was pre...
We prove that the expected Lebesgue measure of the range of an additive Levy process is positive if and only if the product Re([1+Psi_1(xi)]^{-1})...Re([1+Psi_N(xi)]^{-1}) is integrable. This was prev...