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Uniqueness and interpolation of entire harmonic functions
The problem of uniqueness for entire harmonic functions of exponential type was first studied by R. P. Boas, Jr. in 1972. Boas' result opened an important area of research in the theory of entire harmonic functions. In particular, uniqueness results in higher dimensions were studied by Rao and Zeilberger, and representation results were obtained by Anderson, Ching, and Chui. In this dissertation, we obtain uniqueness and representation results when the determination set is a one-dimensional discrete set. In particular, a fairly general method for deriving the basis functions is given.
Includes bibliographical references (leaf 49).