TY - JOUR ID - Hassi2016 LB - Hassi2016 AU - Hassi, Seppo AU - Wietsma, Hendrik Luit TI - Minimal realizations of generalized Nevanlinna functions ST - Minimal realizations of generalized Nevanlinna functions JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2016 VL - 36 IS - 6 SP - 749 EP - 768 DO - http://dx.doi.org/10.7494/OpMath.2016.36.6.749 UR - http://dx.doi.org/10.7494/OpMath.2016.36.6.749 AB - Minimal realizations of generalized Nevanlinna functions that carry the information on their generalized poles of nonpositive type in an explicit form are established. These realizations are based on a modification of the basic canonical factorization of generalized Nevanlinna functions whereby the non-minimality problems in realizations that are based directly on the canonical factorization are circumvented. KW - generalized Nevanlinna functions KW - selfadjoint (multi-valued) operators KW - (minimal) realizations SN - 1232-9274 ER -