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Journals / İstanbul University Science Faculty The Journal Of Mathematics Physics and Astronomy / 2015 / Cilt: 6

Linear Functionals in Some Spaces of Entire Functions of Finite Order

Konstantin MALYUTİN
Taisiya MALYUTİNA
Pages
1–6
Publication Date
2015-06-29
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We obtain the form of continuous linear functional on this space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We consider the the linear topology space of entire functions of a proximate order and normal type with respect to the proximate order.
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Key Findings & Data:We consider the the linear topology space of entire functions of a proximate order and normal type with respect to the proximate order.
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Conclusion & Impact:We obtain the form of continuous linear functional on this space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Entire function · proximate order · continuous linear functional.

Abstract

We consider the the linear topology space of entire functions of a proximate order and normal type with respect to the proximate order. We obtain the form of continuous linear functional on this space.

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Cite This Article

MALYUTİN, K., MALYUTİNA, T. (2015). Linear Functionals in Some Spaces of Entire Functions of Finite Order. İstanbul University Science Faculty The Journal Of Mathematics Physics and Astronomy, Cilt: 6, 1–6. https://ajindex.com/articles/999713

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References (3)

  1. Levin, B.Ya., Distribution of Zeros of Entire Functions, English revised edition Amer. Math.Soc, Providence, RI, 523pp. MR 81k:30011, 1980.
  2. Bingham N.H., Goldie C.M., Teugels J.L., Regular variation, Cambridge university press, Cambridge, London, New-York, New Rochele, Melburn, Sydney, 1987.
  3. Leont'ev, A.F., Obobshcheniye ryadov e'ksponent, Nauka, (Russian), 1981.