Geodesic
A Characterization of a Sparse Blaschke Product
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 385-390

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DOI

We give a characterization of a sparse Blaschke product b in terms of the separation of support sets of its zeros in M(H∞ + C) and the structure of the nonanalytic points. We use this characterization to give a sufficient condition on an interpolating Blaschke product q to have the following property: there exists a non trivial Gleason part P on which q is nonzero and less than one.
DOI : 10.4153/CMB-1989-056-0
Mots-clés : 46J15, 46J20 
Guillory, Carroll. A Characterization of a Sparse Blaschke Product. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 385-390. doi: 10.4153/CMB-1989-056-0
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     title = {A {Characterization} of a {Sparse} {Blaschke} {Product}},
     journal = {Canadian mathematical bulletin},
     pages = {385--390},
     year = {1989},
     volume = {32},
     number = {4},
     doi = {10.4153/CMB-1989-056-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-056-0/}
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