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Mathematics of the USSR-Izvestiya, 1978, Volume 12, Issue 2, Pages 309–335
DOI: https://doi.org/10.1070/IM1978v012n02ABEH001856
(Mi im1768)
 

This article is cited in 35 scientific papers (total in 35 papers)

Representing systems

Yu. F. Korobeinik
References:
Abstract: Criteria are given for a system of elements to be absolutely representing in M- and LN-spaces. These criteria are used to construct general classes of systems of the form {f(λkz)}, f an entire function, that are absolutely representing in various spaces of analytic functions.
Bibliography: 15 titles.
Received: 02.11.1976
Bibliographic databases:
UDC: 517.9
MSC: Primary 30A64, 30A16, 46E10; Secondary 30A08, 30A18, 30A62, 30A98, 46A05, 46A20, 46A35, 4
Language: English
Original paper language: Russian
Citation: Yu. F. Korobeinik, “Representing systems”, Math. USSR-Izv., 12:2 (1978), 309–335
Citation in format AMSBIB
\Bibitem{Kor78}
\by Yu.~F.~Korobeinik
\paper Representing systems
\jour Math. USSR-Izv.
\yr 1978
\vol 12
\issue 2
\pages 309--335
\mathnet{http://mi.mathnet.ru/eng/im1768}
\crossref{https://doi.org/10.1070/IM1978v012n02ABEH001856}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=494558}
\zmath{https://zbmath.org/?q=an:0376.46014|0401.46012}
Linking options:
  • https://www.mathnet.ru/eng/im1768
  • https://doi.org/10.1070/IM1978v012n02ABEH001856
  • https://www.mathnet.ru/eng/im/v42/i2/p325
  • This publication is cited in the following 35 articles:
    1. John J. Benedetto, Franck Olivier Ndjakou Njeunje, “Haar approximation from within for Lp(Rd), 0<p<1”, Sampl. Theory Signal Process. Data Anal., 19:1 (2021)  crossref
    2. A. B. Shishkin, “Odnostoronnie skhemy dvoistvennosti”, Vladikavk. matem. zhurn., 22:3 (2020), 124–150  mathnet  crossref
    3. Mikhail D. Kovalenko, Denis A. Abrukov, Irina V. Menshova, Alexander P. Kerzhaev, Guangming Yu, “Exact solutions of boundary value problems in the theory of plate bending in a half-strip: basics of the theory”, Z. Angew. Math. Phys., 70:4 (2019)  crossref
    4. D. A. Polyakova, “O chastnom reshenii neodnorodnogo uravneniya svertki v prostranstvakh ultradifferentsiruemykh funktsii”, Vladikavk. matem. zhurn., 20:4 (2018), 67–75  mathnet  crossref  elib
    5. A. V. Bratishchev, “On Gelfond–Leontiev Operators of Generalized Differentiation”, J. Math. Sci. (N. Y.), 252:3 (2021), 319–344  mathnet  crossref  mathscinet
    6. Alexander V. Abanin, “Effective and Sampling Sets for Hörmander Spaces”, Complex Anal. Oper. Theory, 12:6 (2018), 1401  crossref
    7. Mikhail D. Kovalenko, Irina V. Menshova, Alexander P. Kerzhaev, “On the exact solutions of the biharmonic problem of the theory of elasticity in a half-strip”, Z. Angew. Math. Phys., 69:5 (2018)  crossref
    8. Kate Overmoyer, Steven M. Seubert, “Non-Synthetic diagonal operators on the space of functions analytic on the unit disk”, Rocky Mountain J. Math., 45:4 (2015)  crossref
    9. D. A. Polyakova, “On solutions of convolution equations in spaces of ultradifferentiable functions”, St. Petersburg Math. J., 26:6 (2015), 949–963  mathnet  crossref  mathscinet  isi  elib  elib
    10. Steven M. Seubert, “Common cyclic vectors for diagonal operators on the space of entire functions”, Rocky Mountain J. Math., 44:1 (2014)  crossref
    11. Yu. F. Korobeinik, “On Free Representing Systems”, Math. Notes, 91:2 (2012), 198–206  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    12. D. A. Abanina, “Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type”, Russian Math. (Iz. VUZ), 55:6 (2011), 1–8  mathnet  crossref  mathscinet  elib
    13. Le Hai Khoi, “WEAKLY SUFFICIENT SETS FOR WEIGHTED SPACES hΦ-∞(B)”, Communications of the Korean Mathematical Society, 26:2 (2011), 215  crossref
    14. Korobeinik Yu.F., “O nekotorykh klassakh predstavlyayuschikh sistem”, Matematicheskii forum (Itogi nauki. Yug Rossii), 5 (2011), 71–85 On some classes of representing systems  elib
    15. A. Abanin, Le Khoi, “Dual of the function algebra 𝐴^{-∞}(𝐷) and representation of functions in Dirichlet series”, Proc. Amer. Math. Soc., 138:10 (2010), 3623  crossref
    16. Yu. F. Korobeinik, “The absolutely representing families in certain classes of locally convex spaces”, Russian Math. (Iz. VUZ), 53:9 (2009), 20–28  mathnet  crossref  mathscinet  zmath  elib
    17. S. N. Melichow, “Über absolut repräsentierende Systeme aus Quasipolynomen in Räumen analytischer Funktionen”, Math Nachr, 158:1 (2006), 299  crossref
    18. A. V. Abanin, “Ob odnom primenenii slabo dostatochnykh mnozhestv”, Vladikavk. matem. zhurn., 7:2 (2005), 11–16  mathnet  mathscinet  elib
    19. Korobeinik Y.F., “On absolutely representing systems in spaces of infinitely differentiable functions”, Studia Mathematica, 139:2 (2000), 175–188  isi  elib
    20. Korobeinik Y.F., “The Fourier method in the Cauchy problem and absolutely representing systems of exponentials: II”, Differential Equations, 36:2 (2000), 285–290  mathnet  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:557
    Russian version PDF:183
    English version PDF:42
    References:103
    First page:1
     
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