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Entire Mean Periodic Functions

Canadian Journal of Mathematics, 1975
Let H denote the set of all entire functions of a single complex variable equipped with the topology of convergence uniform on all compact subsets of C, the set of complex numbers. Then an entire function f is mean periodic if the subspace spanned by f and its complex translates is not dense in H. It was shown by Schwartz [13, p.
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Nevanlinna Matrices of Entire Functions

Mathematische Nachrichten, 1995
AbstractThe notion of a pre‐Nevanlinna matrix of entire functions is introduced, and we find necessary and sufficient conditions for an entire function to belong to such a matrix, thereby generalizing previous work of Krein.If one of the functions in a pre‐Nevanlinna matrix is a polynomial, then the three others arc also polynomials and their degrees ...
Berg, Christian, Pedersen, Henrik L.
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Lacunary entire functions

Mathematical Proceedings of the Cambridge Philosophical Society, 1993
AbstractIt has been observed that lacunary functions and random functions often have many properties in common (cf. [5]). The present paper has the object of showing that lacunary entire functions behave in many respects like random entire functions. Both have the property of being large except in very small neighbourhoods of their zeros and these have
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Entire functions

2020
Richard Beals, Roderick S. C. Wong
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Entire Functions.

The American Mathematical Monthly, 1968
Emil Grosswald   +2 more
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