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Subjects
30-XX Functions of a complex variable
30Kxx Universal holomorphic functions
30K99 None of the above, but in this section

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Growth of (frequently) hypercyclic functions for differential operators

Hans-Peter Beise, Jürgen Müller (2011)

Studia Mathematica

We investigate the conjugate indicator diagram or, equivalently, the indicator function of (frequently) hypercyclic functions of exponential type for differential operators. This gives insights into growth conditions for these functions on particular rays or sectors. Our research extends known results in several respects.

Universal zero solutions of linear partial differential operators

Thomas Kalmes, Markus Niess (2010)

Studia Mathematica

A generalized approach to several universality results is given by replacing holomorphic or harmonic functions by zero solutions of arbitrary linear partial differential operators. Instead of the approximation theorems of Runge and others, we use an approximation theorem of Hörmander.

Currently displaying 1 – 2 of 2

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