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31. 12. 2014.
Desirable Decompositions of Generalized Nevanlinna Functions
For a given generalized Nevanlinna function Q(z) 2 N� (H), we study decompo- sitions that satisfy: Q = Q1 +Q2; Qi2 Ni (H), 0 � �i, i = 1, 2, and �1 +�2 = �, which we call desirable decompositions. In this paper, necessary and sufficient con- ditions for such decompositions of Q are obtained. One of the main results is a new, operator representation of ˆ