175 research outputs found
Ground States and Dirichlet Problems for - F(U) in R2
No full textAtkinson, F.V.; Peletier, L.A.. (1985). Ground States and Dirichlet Problems for - F(U) in R2. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3937
Linear Fractional Transformations of Nevanlinna Functions Associated with a Nonnegative Operator
No full textIn the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space. This class consists of all Nevanlinna functions that are holomorphic on (−∞, 0) and all those Nevanlinna functions that have one negative pole a and are injective on (−∞, a) ∪ (a, 0). These functions are characterized via integral representations and special attention is paid to linear fractional transformations which arise in extension and spectral problems of symmetric and selfadjoint operators.
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