2013/12/27 by Seppo Hassi, S. Hassi, Hassi, S. +3
Mathematics · #47A10 #47A45 #47B25 #47B50 #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA) #Primary 30E20 #Secondary 47A06 #Spectral Theory in Mathematical Physics #math.FA #msc:30E20 #msc:47A06 #msc:47A10 #msc:47A45 #msc:47B25 #msc:47B50
paper · pdf · doi:10.48550/arxiv.1312.7248
arxiv created 2013/12/27 · openalex publication_date 2013/12/27 · arxiv updated 2013/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
New classes of generalized Nevanlinna functions, which under multiplication with an arbitrary fixed symmetric rational function remain generalized Nevanlinna functions, are introduced. Characterizations for these classes of functions are established by connecting the canonical factorizations of the product function and the original generalized Nevanlinna function in a constructive manner. Also a detailed functional analytic treatment of these classes of functions is carried out by investigating the connection between the realizations of the product function and the original function. The operator theoretic treatment of these realizations is based on the notions of rigged spaces, boundary triplets, and associated Weyl functions.