89 citations · 161 across the 24 of their papers we have counts for
25 papers
The Non-commutative Robertson-Schrödinger Uncertainty Principle
Agapitos N. Hatzinikitas
We investigate properties of the covariance matrix in the framework of non-commutative quantum mechanics for an one-parameter family of transformations between the familiar Heisenb…
The Dirichlet kernel on the real hyperbolic space for radial functions
Agapitos N. Hatzinikitas
Asymptotic expansions as well as necessary and sufficient conditions are provided for the pointwise convergence of the spherical partial integrals of the associated Fourier transfo…
One-loop Partition Functions in Hyperbolic Space
Agapitos N. Hatzinikitas
We first study the problem of the one-loop partition function for a free massive quantum field theory living on a fixed background hyperbolic space on the field of real numbers, $\…
Self-similar solutions of Rényi's entropy and the concavity of its entropy power
Agapitos N. Hatzinikitas
We study the class of self-similar probability density functions with finite mean and variance which maximize Rényi's entropy. The investigation is restricted in the Schwartz space…
The short-time limit of the Dirichlet partition function and the image method
Agapitos N. Hatzinikitas, Nikolaos Lymouris
In this paper we rigorously derive the asymptotics of the free partition function for a diffusion process on tessellations of the d-dimensional Euclidea…
A note on doubly warped product spaces
Agapitos N. Hatzinikitas
We present a coordinate free approach to derive curvature formulas for pseudo-Riemannian doubly warped product manifolds in terms of curvatures of their submanifolds. We also state…