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math.CA2020
Metric Graphs with Totally Disconnected Boundary
Robert Carlson
Boundary analysis is developed for a rich class of generally infinite weighted graphs with compact metric completions. These graph completions have totally disconnected boundaries.…
math.CA2018
Analytic Differential Operators on the Unit Disk
Robert Carlson
Formally symmetric differential operators on weighted Hardy-Hilbert spaces are analyzed, along with adjoint pairs of differential operators. Eigenvalue problems for such operators…
math.CA2017
Eigenfunctions of Periodic Differential Operators Analytic in a Strip
Robert Carlson
Ordinary differential operators with periodic coefficients analytic in a strip act on a Hardy-Hilbert space of analytic functions with inner product defined by integration over a p…