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On entire functions of exponential type and indicators of analytic functionals

On entire functions of exponential type and indicators of analytic functionals

We shall be concerned with the indicator p of an analytic functional μ on a complex manifold U: $p(\varphi ) = \overline {\mathop {\lim }\limits_{t \to + \infty } } \frac{l}{t}\log \left| {\mu (e^{t\varphi } )} \right|,$ where ϕ is an arbitrary analytic function on U. More specifically, we shall …