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math.PR2010★ 19 cited
Fractional -processes and Gibbs measures
Kamil Kaleta, Jozsef Lorinczi
We define and prove existence of fractional -processes as random processes generated by fractional Schrödinger semigroups with Kato-decomposable potentials. Also, we show t…
math.SP2010★ 1 cited
Spectral Properties of the Massless Relativistic Harmonic Oscillator
Jozsef Lorinczi, Jacek Malecki
The spectral properties of the pseudo-differential operator are analyzed by a combination of functional integration methods and direct analysis. We obtain a…