In this paper we develop a theory of slice regular functions on a real alternative algebra A. Our approach is based on a well-known Fueter's construction. Two recent function theories can be included in our gen
Finally, we study theory of function spaces of Slice regular functions and establish the Forelli-Rudin type estimates. Keywords quaternions, Slice regular functions, growth theorem, distortion theorem, Schwarz lemma, Julia-Carath´eodory theorem, boundary Schwarz lemma, Lipschitz space MSC(2010) 30G...
A. Altavilla. On the real differential of a slice regular function. Advances in Geometry, to appear.A. Altavilla, On the real differential of a slice regular function, Adv. Geom. 18 (2018), no. 1, 5-26.Altavilla A. On the real differential of a slice regular function. arXiv:...
Finally, we study theory of function spaces of Slice regular functions and establish the Forelli-Rudin type estimates. Keywords quaternions, Slice regular functions, growth theorem, distortion theorem, Schwarz lemma, Julia-Carath´eodory theorem, boundary Schwarz lemma, Lipschitz space MSC(2010) 30G...
The integral kernel we construct is not slice-regular, but it is universal, i.e., not depending on the domain. An unavoidable aspect of the formula is the appearing, along with the boundary values of the slice-regular function, of the values of a complementary function, namely, the ...
The concept of slice regular function over the real algebra H of quaternions is a generalization of the notion of holomorphic function of a complex variable. Let Ω⊂H be a domain, i.e., a non-empty connected open subset of H=R4. Suppose that Ω intersects R and is invariant under ro...
as soon as the system becomes over-commissioned tasks will be queued either to the priority DSQ (interactive) or the shared DSQ (regular) and the time slice will be adjusted inversely proportional to the total amount of waiting tasks (evaluated a simple moving average). ...
@@ -1214,6 +1214,10 @@ def slice(self, start=None, stop=None, step=None, /): Like in the regular Python `slice` object, if only `start` is specified it is interpreted as the `stop`. See Also --- char.slice """ return asarray(strings_slice(self, start, stop, step)) 0 co...
Each slot on this KitchenAid toaster is wide enough for two regular slices of bread or one extra wide slice. I found it easy to use, the toast can be lifted when done, it has a defrost feature, a bagel feature, a reheat feature, and looks very nice with my stainless and black ...
GNNetSlice consists of two GraphConv layers [52], which are graph convolutional layers, each using a ReLu [53] activation function to regularize the outputs, where the hidden states of each node are trained and later predicted. The model calculates a hidden state for all the nodes in the ...