Generalizations of Fueter’s theorem

By Kit Ian Kou, Tao Qian, F. Sommen. 2002

61 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/8b3203eb4a290a6e06dd19611d2be224f25c7b53

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Irene Sabadini
2. Fabrizio Colombo
3. Caterina Stoppato
4. Graziano Gentili
5. F. Sommen
6. Daniele C. Struppa
7. Riccardo Ghiloni
8. A. Perotti

In Mathematical Physics

1. Irene Sabadini
2. Graziano Gentili
3. Fabrizio Colombo
4. Caterina Stoppato
5. F. Sommen
6. Daniele C. Struppa

In Numerical Analysis

1. Irene Sabadini
2. F. Sommen
3. Fabrizio Colombo

Citations in the corpus

• The open mapping theorem for regular quaternionic functions (2008, background): “We point out that this result is straightforward in the special case of series f (q) = ∑ n∈N qan having real coefficients an ∈ R (series which are also studied in [3, 9, 12]): it is easy to deduce that such an f is open from the open mapping theorem for holomorphic functions of one complex variable.”
• A nonconstant coefficients differential operator associated to slice monogenic functions (2012, background): “The subclass of functions with α , β real-valued appear in the literature in several papers, in particular in the works related to the Fueter mapping theorem; see for example [12, 13, 16, 18, 20, 21, 22, 23, 24, 25].”
• REMARKS ON THE GENERATION OF MONOGENIC FUNCTIONS (2006, background): “Qian and others ([10, 21, 23]) to functions with values in a Clifford algebra Cl0,n, are well known.”
• The inverse Fueter mapping theorem (2011, background): “The Fueter mapping theorem can be stated in differential form in various versions, see [24], [25], [26], [27], [28], [29], [30] and the literature therein.”