Analogs of the Liouville Property for Harmonic Functions on Unbounded Domains
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DOI: 10.1134/s0037446620040035
Abstract: We obtain some analogs of the Liouville property for the function that is harmonic on the exterior of a Jordan domain $ G\subset{\mathbb{C}} $ and has constant boundary values of the function itself and its… read more here.
Keywords: liouville property; harmonic functions; property harmonic; analogs liouville ... See more keywords
Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability
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DOI: 10.3390/axioms10030150
Abstract: In the paper we establish some conditions under which a given sequence of polynomials on a Banach space X supports entire functions of unbounded type, and construct some counter examples. We show that if X… read more here.
Keywords: banach spaces; functions unbounded; analytic functions; entire functions ... See more keywords
Classes of Entire Analytic Functions of Unbounded Type on Banach Spaces
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DOI: 10.3390/axioms9040133
Abstract: In this paper we investigate analytic functions of unbounded type on a complex infinite dimensional Banach space X. The main question is: under which conditions is there an analytic function of unbounded type on X… read more here.
Keywords: classes entire; analytic functions; unbounded type; entire analytic ... See more keywords