Möbius’s functional equation and Schur’s lemma with applications to the complex unit disk
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DOI: 10.1007/s00010-016-0452-9
Abstract: Möbius addition is defined on the complex open unit disk by $$\begin{aligned} a\oplus _M b = \dfrac{a+b}{1+\bar{a}b} \end{aligned}$$a⊕Mb=a+b1+a¯band Möbius’s exponential equation takes the form $$L(a\oplus _M b) = L(a)L(b)$$L(a⊕Mb)=L(a)L(b), where L is a complex-valued function… read more here.
Keywords: equation; complex unit; unit disk; exponential equation ... See more keywords
Holomorphic isometries of $${\mathbb {B}}^m$$Bm into bounded symmetric domains arising from linear sections of minimal embeddings of their compact duals
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DOI: 10.1007/s00209-016-1778-7
Abstract: We study general properties of images of holomorphic isometric embeddings of complex unit balls $${\mathbb {B}}^m$$Bm into irreducible bounded symmetric domains $${\varOmega }$$Ω of rank at least 2. In particular, we show that such holomorphic… read more here.
Keywords: unit balls; holomorphic isometric; complex unit; bounded symmetric ... See more keywords
Complex unit gain graphs of rank 2
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DOI: 10.1016/j.laa.2020.03.023
Abstract: Abstract Let T be the group of all complex numbers z with | z | = 1 . A complex unit gain graph, or simply a T -gain graph, is a triple Φ = (… read more here.
Keywords: gain graph; gain; complex unit; unit gain ... See more keywords
Ligand Exchange Strategy for Delivery of Ruthenium Complex Unit to Biomolecules Based on Ruthenium–Olefin Specific Interactions
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DOI: 10.1246/cl.200590
Abstract: Ligand exchange reactions between a Hoveyda–Grubbs-type complex and 2-alkoxybenzylidene in a biomolecule assist in the delivery of a ruthenium complex unit to the biomolecule. Complexes having an e... read more here.
Keywords: complex unit; ruthenium; ruthenium complex; delivery ruthenium ... See more keywords