14 citations · 20 across the 8 of their papers we have counts for
8 papers
Principal Solutions Revisited
Stephen Clark, Fritz Gesztesy, Roger Nichols
The main objective of this paper is to identify principal solutions associated with Sturm-Liouville operators on arbitrary open intervals , as introduce…
Boundary Data Maps and Krein's Resolvent Formula for Sturm-Liouville Operators on a Finite Interval
Stephen Clark, Fritz Gesztesy, Roger Nichols +1
We continue the study of boundary data maps, that is, generalizations of spectral parameter dependent Dirichlet-to-Neumann maps for (three-coefficient) Sturm-Liouville operators on…
Minimal Rank Decoupling of Full-Lattice CMV Operators with Scalar- and Matrix-Valued Verblunsky Coefficients
Stephen Clark, Fritz Gesztesy, Maxim Zinchenko
Relations between half- and full-lattice CMV operators with scalar- and matrix-valued Verblunsky coefficients are investigated. In particular, the decoupling of full-lattice CMV op…
Weyl-Titchmarsh Theory and Borg-Marchenko-type Uniqueness Results for CMV Operators with Matrix-Valued Verblunsky Coefficients
Stephen Clark, Fritz Gesztesy, Maxim Zinchenko
We prove local and global versions of Borg-Marchenko-type uniqueness theorems for half-lattice and full-lattice CMV operators (CMV for Cantero, Moral, and Velazquez) with matrix-va…
Borg-Marchenko-type Uniqueness Results for CMV Operators
Stephen Clark, Fritz Gesztesy, Maxim Zinchenko
We prove local and global versions of Borg-Marchenko-type uniqueness theorems for half-lattice and full-lattice CMV operators (CMV for Cantero, Moral, and Velazquez \cite{CMV03}).…
Q-Ball Condensation
Stephen Clark
Q-balls arise in particle theories with U(1) global symmetry. The coupling of the corresponding scalar field to fermions leads to Q-ball evaporation. In this paper we consider the…