Articles with "unbounded type" as a keyword



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Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability

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Published in 2021 at "Axioms"

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
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Classes of Entire Analytic Functions of Unbounded Type on Banach Spaces

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Published in 2020 at "Axioms"

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