3 papers
math-ph2017
Equations of hypergeometric type in the degenerate case
Jan Dereziński, Maciej Karczmarczyk
We consider the three most important equations of hypergeometric type, , and , in the so-called degenerate case. In this case one of the parameters, usu…
math-ph2017
Quantization of Gaussians
Jan Dereziński, Maciej Karczmarczyk
Our paper is devoted to the oscillator semigroup, which can be defined as the set of operators whose kernels are centered Gaussian. Equivalently, they can be defined as the the Wey…
math-ph2016
On the Weyl symbol of the resolvent of the harmonic oscillator
Jan Dereziński, Maciej Karczmarczyk
We compute the Weyl symbol of the resolvent of the harmonic oscillator and study its properties.