Zobrazeno 1 - 10
of 164
pro vyhledávání: '"Gentili, Graziano"'
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 open neighbourhood of a strictly negative real point, no continuous bran
Externí odkaz:
http://arxiv.org/abs/2307.14047
Publikováno v:
ICCM Not. 10 (2022), no. 2, 11-29
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 works on this subject, we explicitly show how the craft of the painters
Externí odkaz:
http://arxiv.org/abs/2210.13295
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 August 2024 536(1)
Publikováno v:
J. Noncommut. Geom. 17 (2023), no. 3, 1099-1128
For a slice--regular quaternionic function $f,$ the classical exponential function $\exp f$ is not slice--regular in general. An alternative definition of exponential function, the $*$-exponential $\exp_*$, was given: if $f$ is a slice--regular funct
Externí odkaz:
http://arxiv.org/abs/2108.08595
Publikováno v:
Math. Z. 302 (2022), no. 2, 971-994
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 Bernhard Riemann approach to Riemann surfaces, mainly based on conformali
Externí odkaz:
http://arxiv.org/abs/2107.07892
Autor:
Gentili, Graziano, Stoppato, Caterina
Publikováno v:
J. Math. Anal. Appl., 495(2):124780 (2021)
The theory of quaternionic slice regular functions was introduced in 2006 and successfully developed for about a decade over symmetric slice domains, which appeared to be the natural setting for their study. Some recent articles paved the way for a f
Externí odkaz:
http://arxiv.org/abs/2008.06373
Autor:
Gentili, Graziano, Stoppato, Caterina
Publikováno v:
Proc. Amer. Math. Soc., 149(5):2025--2034 (2021)
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 motivated by some foundational results published in 2009, such as the Repre
Externí odkaz:
http://arxiv.org/abs/2005.01077
Publikováno v:
J. Geom. Anal. 31 (2021), no. 1, 1073-1092
This paper is devoted to the study of affine quaternionic manifolds and to a possible classification of all compact affine quaternionic curves and surfaces. It is established that on an affine quaternionic manifold there is one and only one affine qu
Externí odkaz:
http://arxiv.org/abs/1911.06120