Finite Blaschke products with prescribed critical points, Stieltjes polynomials, and moment problems
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DOI: 10.1007/s13324-017-0193-5
Abstract: The determination of a finite Blaschke product from its critical points is a well-known problem with interrelations to several other topics. Though existence and uniqueness of solutions are established for long, we present new aspects… read more here.
Keywords: moment; prescribed critical; finite blaschke; blaschke products ... See more keywords
Ellipses and compositions of finite Blaschke products
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DOI: 10.1016/j.jmaa.2016.01.067
Abstract: Abstract We provide a new proof of a theorem of Fujimura characterizing Blaschke products of degree-4 that are compositions of two degree-2 Blaschke products, connect this result to the numerical ranges of certain operators, and… read more here.
Keywords: blaschke; compositions finite; ellipses compositions; finite blaschke ... See more keywords
Finite Blaschke products and the construction of rational Γ-inner functions ☆
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DOI: 10.1016/j.jmaa.2016.10.035
Abstract: Abstract Let Γ = def { ( z + w , z w ) : | z | ≤ 1 , | w | ≤ 1 } ⊂ C 2 . A Γ-inner function is… read more here.
Keywords: rational inner; inner; inner function; finite blaschke ... See more keywords