Abstract
We obtain new integral formulas for holomorphic, meromorphic, subharmonic and \(\delta\)-subharmonic functions on a concentric annulus. These formulas relate integrals from such functions to their distributions of zeros and poles, as well as Riesz measures and charges, respectively. Our new formulas are applied to obtaining inequalities for such functions and to new completeness conditions for exponential systems in Banach spaces of functions on a convex compact set in the complex plane.
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Funding
The research was carried out with the support of the development program of the Scientific and Educational Mathematical Center of the Volga Region (agreement no. 075-02-2023-950).
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Khabibullin, B.N., Menshikova, E.B. Integral Formulas for Subharmonic and Meromorphic Functions and Completeness of Exponential Systems. Lobachevskii J Math 45, 434–442 (2024). https://doi.org/10.1134/S1995080224010244
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DOI: https://doi.org/10.1134/S1995080224010244