64 citations · 426 across the 29 of their papers we have counts for
31 papers
On a continuation of quaternionic and octonionic logarithm along curves and the winding number
Graziano Gentili, Jasna Prezelj, Fabio Vlacci
This paper focuses on the problem of finding a continuous extension of the hypercomplex logarithm along a path. While a branch of the complex logarithm can be defined in a small op…
The Mathematics of Painting: the Birth of Projective Geometry in the Italian Renaissance
Graziano Gentili, Luisa Simonutti, Daniele C. Struppa
We show how the birth of perspective painting in the Italian Renaissance led to a new way of interpreting space that resulted in the creation of projective geometry. Unlike other w…
On a definition of logarithm of quaternionic functions
Graziano Gentili, Jasna Prezelj, Fabio Vlacci
For a slice--regular quaternionic function the classical exponential function is not slice--regular in general. An alternative definition of exponential function, the…
Slice conformality and Riemann manifolds on quaternions and octonions
Graziano Gentili, Jasna Prezelj, Fabio Vlacci
In this paper we establish quaternionic and octonionic analogs of the classical Riemann surfaces. The construction of these manifolds has nice peculiarities and the scrutiny of Ber…
Shortcuts to Squeezed Thermal States
Léonce Dupays, Aurélia Chenu
Squeezed state in harmonic systems can be generated through a variety of techniques, including varying the oscillator frequency or using nonlinear two-photon Raman interaction. We…
A local representation formula for quaternionic slice regular functions
Graziano Gentili, Caterina Stoppato
After their introduction in 2006, quaternionic slice regular functions have mostly been studied over domains that are symmetric with respect to the real axis. This choice was motiv…