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Algebra i Analiz, 2001, Volume 13, Issue 3, Pages 1–17 (Mi aa934)  

This article is cited in 32 scientific papers (total in 32 papers)

Research Papers

Exponential Riesz bases of subspaces and divided differences

S. A. Avdonina, S. A. Ivanovbc

a Flinders University
b St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
c Russian Center of Laser Physics, Research Institute of St. Petersburg State University
Received: 27.08.2000
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Avdonin, S. A. Ivanov, “Exponential Riesz bases of subspaces and divided differences”, Algebra i Analiz, 13:3 (2001), 1–17; St. Petersburg Math. J., 13:3 (2002), 339–351
Citation in format AMSBIB
\Bibitem{AvdIva01}
\by S.~A.~Avdonin, S.~A.~Ivanov
\paper Exponential Riesz bases of subspaces and divided differences
\jour Algebra i Analiz
\yr 2001
\vol 13
\issue 3
\pages 1--17
\mathnet{http://mi.mathnet.ru/aa934}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850184}
\zmath{https://zbmath.org/?q=an:0999.42018}
\transl
\jour St. Petersburg Math. J.
\yr 2002
\vol 13
\issue 3
\pages 339--351
Linking options:
  • https://www.mathnet.ru/eng/aa934
  • https://www.mathnet.ru/eng/aa/v13/i3/p1
  • This publication is cited in the following 32 articles:
    1. S. A. Avdonin, S. A. Ivanov, “Density of Zeros of the Cartwright Class Functions and the Helson–Szegő Type Condition”, Math. Notes, 113:2 (2023), 165–171  mathnet  crossref  crossref  mathscinet
    2. Avdonin S., Park J., De Teresa L., “The Kalman Condition For the Boundary Controllability of Coupled 1-D Wave Equations”, Evol. Equ. Control Theory, 9:1 (2020), 255–273  crossref  mathscinet  isi  scopus
    3. Avdonin S., Edward J., “Controllability For a String With Attached Masses and Riesz Bases For Asymmetric Spaces”, Math. Control Relat. Fields, 9:3 (2019), 453–494  crossref  mathscinet  isi
    4. Ben Amara J., Beldi E., “Boundary Controllability of Two Vibrating Strings Connected By a Point Mass With Variable Coefficients”, SIAM J. Control Optim., 57:5 (2019), 3360–3387  crossref  mathscinet  isi
    5. Avdonin S., Edward J., “Exact Controllability For String With Attached Masses”, SIAM J. Control Optim., 56:2 (2018), 945–980  crossref  mathscinet  zmath  isi  scopus
    6. Zhao Zh.-X., Banda M.K., Guo B.-Zh., “Simultaneous Identification of Damping Coefficient and Initial Value For PDEs From Boundary Measurement”, Int. J. Control, 91:7 (2018), 1508–1521  crossref  mathscinet  isi  scopus
    7. Avdonin S., Nicaise S., “Source Identification Problems For the Wave Equation on Graphs”, Inverse Probl., 31:9 (2015), 095007  crossref  mathscinet  zmath  isi  scopus
    8. Oezer A.O., “Further Stabilization and Exact Observability Results For Voltage-Actuated Piezoelectric Beams With Magnetic Effects”, Math. Control Signal Syst., 27:2 (2015), 219–244  crossref  mathscinet  zmath  isi  scopus
    9. Avdonin S.A., Belinskiy B.P., “On Controllability of a Linear Elastic Beam With Memory Under Longitudinal Load”, Evol. Equ. Control Theory, 3:2 (2014), 231–245  crossref  mathscinet  zmath  isi  elib  scopus
    10. Avdonin S., Rivero A.Ch., de Teresa L., “Exact Boundary Controllability of Coupled Hyperbolic Equations”, Int. J. Appl. Math. Comput. Sci., 23:4 (2013), 701–709  crossref  mathscinet  isi  scopus
    11. Blank N., Ulanovskii A., “Paley-Wiener Functions with a Generalized Spectral Gap”, J Fourier Anal Appl, 17:5 (2011), 899–915  crossref  mathscinet  zmath  isi  scopus
    12. Wang J.-M., Guo B.-Zh., Krstic M., “Wave Equation Stabilization by Delays Equal to Even Multiples of the Wave Propagation Time”, SIAM J Control Optim, 49:2 (2011), 517–554  crossref  mathscinet  zmath  isi  scopus
    13. Boumenir A., Tuan V.K., “An Inverse Problem for the Heat Equation”, Proceedings of the American Mathematical Society, 138:11 (2010), 3911–3921  crossref  mathscinet  zmath  isi  scopus
    14. Avdonin S.A., Belinskiy B.P., Pandolfi L., “Controllability of a Nonhomogeneous String and Ring under Time Dependent Tension”, Mathematical Modelling of Natural Phenomena, 5:4 (2010), 4–31  crossref  mathscinet  zmath  isi  scopus
    15. Sklyar G. M., Wozniak J., “Ullrich conditions and smoothness of reachable states of a rotating beam”, J. Math. Anal. Appl., 354:1 (2009), 31–45  crossref  mathscinet  zmath  isi  elib  scopus
    16. Komornik V., Loreti P., “Discrete Ingham type inequalities and simultaneous observability of strings or beams”, J. Math. Anal. Appl., 351:1 (2009), 16–28  crossref  mathscinet  zmath  isi  scopus
    17. V. V. Vlasov, S. A. Ivanov, “Sharp estimates for solutions of systems with aftereffect”, St. Petersburg Math. J., 20:2 (2009), 193–211  mathnet  crossref  mathscinet  zmath  isi  elib
    18. V. V. Vlasov, D. A. Medvedev, “Functional-differential equations in Sobolev spaces and related problems of spectral theory”, Journal of Mathematical Sciences, 164:5 (2010), 659–841  mathnet  crossref  mathscinet  elib
    19. Guo Bao-Zhu, Wang Jun-Min, Zhou Cui-Lian, “On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback”, ESAIM Control Optim. Calc. Var., 14:3 (2008), 632–656  crossref  mathscinet  zmath  isi  scopus
    20. Sklyar G.M., Szkibiel G., “Controllability from rest to arbitrary position of the nonhomogenous Timoshenko beam”, Zh. Mat. Fiz. Anal. Geom., 4:2 (2008), 305–318  mathnet  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Алгебра и анализ St. Petersburg Mathematical Journal
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