234 citations · 697 across the 29 of their papers we have counts for
5 papers · 1 filter
Efficient construction of homological Seifert surfaces
Ana Alonso Rodrìguez, Enrico Bertolazzi, Riccardo Ghiloni +1
Let be a bounded domain of whose closure is polyhedral, and let be a triangulation of . Assuming that the boundary of …
Noncommutative Cauchy integral formula
Riccardo Ghiloni, Alessandro Perotti, Vincenzo Recupero
The aim of this paper is to provide and prove the most general Cauchy integral formula for slice regular functions and for C^1 functions on a real alternative *-algebra. Slice regu…
Lagrange polynomials over Clifford numbers
Riccardo Ghiloni, Alessandro Perotti
We construct Lagrange interpolating polynomials for a set of points and values belonging to the algebra of real quaternions , or to the real Clifford algebra $R_{0…
Spectral properties of compact normal quaternionic operators
Riccardo Ghiloni, Valter Moretti, Alessandro Perotti
General, especially spectral, features of compact normal operators in quaternionic Hilbert spaces are studied and some results are established which generalize well-known propertie…
Semigroups over real alternative *-algebras: generation theorems and spherical sectorial operators
Riccardo Ghiloni, Vincenzo Recupero
The aim of this paper is twofold. On one hand, generalizing some recent results obtained in the quaternionic setting, but using simpler techniques, we prove the generation theorems…