2014/05/14 by Nacho Monreal Galán, Galán, Nacho Monreal, Artur Nicolau +1
Mathematics · #30E05 #30J05 #30J10 #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1405.3578
openalex publication_date 2014/05/14 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
Consider a scaled Nevanlinna-Pick interpolation problem and let \Π be the\nBlaschke product whose zeros are the nodes of the problem. It is proved that if\n\Π belongs to a certain class of inner functions, then the extremal\nsolutions of the problem or most of them, are in the same class. Three\ndifferent classical classes are considered: inner functions whose derivative is\nin a certain Hardy space, exponential Blaschke products and also the well known\nclass of \α-Blaschke products, for 0<\α<1.\n