output
20072024
most citedOn the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms

23 citations

9 papers

cs.CY2024★ 19 cited

Crossing the principle-practice gap in AI ethics with ethical problem-solving

Nicholas Kluge Corrêa, James William Santos, Camila Galvão +5

The past years have presented a surge in (AI) development, fueled by breakthroughs in deep learning, increased computational power, and substantial investments in the field. Given…

math.CV2021★ 5 cited

Eigenvalue problems for slice functions

Rolf Sören Krausshar, Alessandro Perotti

This paper addresses particular eigenvalue problems within the context of two quaternionic function theories. More precisely, we study two concrete classes of quaternionic eigenval…

math.CV2019

Conformal mappings revisited in the octonions and Clifford algebras of arbitrary dimension

Rolf Soeren Krausshar

In this paper we revisit the concept of conformality in the sense of Gauss in the context of octonions and Clifford algebras. We extend a characterization of conformality in terms…

math.NT2019

Function Theories in Cayley-Dickson algebras and Number Theory

Rolf Soeren Krausshar

In the recent years a lot of effort has been made to extend the theory of hyperholomorphic functions from the setting of associative Clifford algebras to non-associative Cayley-Dic…

math.CV2019★ 23 cited

On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms

Kamal Diki, Rolf Sören Krausshar, Irene Sabadini

This paper deals with some special integral transforms of Bargmann-Fock type in the setting of quaternionic valued slice hyperholomorphic and Cauchy-Fueter regular functions. The c…

math.CV2018

Automorphic Forms and Dirac Operators on Conformally Flat Manifolds

Rolf Sören Kraußhar

In this paper we present a summarizing description of the connection between Dirac operators on conformally flat manifolds and automorphic forms based on a series of joint work wit…