ACTA issues

Pontryagin spaces of entire functions. III

Michael Kaltenbäck, Harald Woracek

Acta Sci. Math. (Szeged) 69:1-2(2003), 241-310

Abstract. We continue the investigations of the indefinite generalization of L. de Branges theory of Hilbert spaces of entire functions. In this paper we are concerned with the detailed study of degenerated dB-subspaces of a dB-Pontryagin space, and of singularities of maximal chains of matrix functions. These phenomena are typical for the indefinite situation; there are no definite analogues. The main theorem is a continuity result for so-called intermediate Weyl coefficients. As a basic tool we introduce and investigate a certain transformation of maximal chains of matrix functions.

AMS Subject Classification (1991): 46C20, 30H05, 47B50, 47A45

Keyword(s): 46C20, 30H05, 47B50, 47A45

Received August 6, 2001. (Registered under 2896/2009.)