V. V. Napalkov, A. A. Rumyantseva, R. S. Yulmukhametov, “Completeness of exponential systems in weighted spaces on real axe”, Ufa Math. J., 2:1 (2010)

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Ufimskii Matematicheskii Zhurnal, 2010, Volume 2, Issue 1, Pages 97–109 (Mi ufa45)

This article is cited in 3 scientific papers (total in 3 papers)

Completeness of exponential systems in weighted spaces on real axe

V. V. Napalkov^a, A. A. Rumyantseva^b, R. S. Yulmukhametov^a

^a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
^b Bashkir State University, Ufa, Russia

Full-text PDF (450 kB) Citations (3)

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Abstract: It is studied the completeness of exponential systems

exp (λ_{k} t)

$\exp(\lambda_kt)$ in the Hilbert space

$L_2(\mathbb R;a|x|^\alpha)$ , where

$\alpha\in(1;2]$ ,

$a>0$ . We obtain both the necessary and sufficient conditions of completeness in terms of system

$\lambda_k$ .

Keywords: completeness of exponential systems, Fourier–Laplace transform, convex function, entire function.

Received: 15.01.2010

Bibliographic databases:

Document Type: Article

UDC: 517.54

Language: Russian

Citation: V. V. Napalkov, A. A. Rumyantseva, R. S. Yulmukhametov, “Completeness of exponential systems in weighted spaces on real axe”, Ufa Math. J., 2:1 (2010)

Citation in format AMSBIB

\Bibitem{NapRumYul10}

\by V.~V.~Napalkov, A.~A.~Rumyantseva, R.~S.~Yulmukhametov

\paper Completeness of exponential systems in weighted spaces on real axe

\jour Ufa Math. J.

\yr 2010

\vol 2

\issue 1

\mathnet{http://mi.mathnet.ru/eng/ufa45}

\zmath{https://zbmath.org/?q=an:1240.30024}

Linking options:

https://www.mathnet.ru/eng/ufa45

https://www.mathnet.ru/eng/ufa/v2/i1/p97

This publication is cited in the following 3 articles:

A. A. Makhota, “On completeness of exponential systems in convex domain”, Ufa Math. J., 10:1 (2018), 76–79
A. R. Bagautdinova, A. V. Lutsenko, V. I. Lutsenko, E. D. Shaimuratova, “Integralnye otsenki proizvodnykh analiticheskikh funktsii vne vypuklykh oblastei”, Ufimsk. matem. zhurn., 4:4 (2012), 13–21
A. A. Rumyantseva, “Asimptotika $\delta$ -subgarmonicheskikh funktsii i ikh assotsiirovannykh mer”, Ufimsk. matem. zhurn., 2:3 (2010), 83–107

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	848
Full-text PDF :	239
References:	85
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