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Contemporary Mathematics. Fundamental Directions, 2003, Volume 5, Pages 3–152 (Mi cmfd10)  

This article is cited in 25 scientific papers (total in 25 papers)

Analytic Fourier Transforms and Exponential Approximations. I

A. M. Sedletskii

M. V. Lomonosov Moscow State University
References:
English version:
Journal of Mathematical Sciences, 2005, Volume 129, Issue 6, Pages 4251–4408
DOI: https://doi.org/10.1007/s10958-005-0349-y
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. M. Sedletskii, “Analytic Fourier Transforms and Exponential Approximations. I”, CMFD, 5, MAI, M., 2003, 3–152; Journal of Mathematical Sciences, 129:6 (2005), 4251–4408
Citation in format AMSBIB
\Bibitem{Sed03}
\by A.~M.~Sedletskii
\paper Analytic Fourier Transforms and Exponential Approximations.~I
\serial CMFD
\yr 2003
\vol 5
\pages 3--152
\publ MAI
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd10}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120868}
\zmath{https://zbmath.org/?q=an:1085.42005}
\transl
\jour Journal of Mathematical Sciences
\yr 2005
\vol 129
\issue 6
\pages 4251--4408
\crossref{https://doi.org/10.1007/s10958-005-0349-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-24144453440}
Linking options:
  • https://www.mathnet.ru/eng/cmfd10
  • https://www.mathnet.ru/eng/cmfd/v5/p3
    Cycle of papers
    This publication is cited in the following 25 articles:
    1. N. F. Abuzyarova, “Preservation of Classes of Entire Functions under Pure Imaginary Perturbations of Their Zero Sets”, Lobachevskii J Math, 45:6 (2024), 2651  crossref
    2. N. F. Abuzyarova, D. V. Semenova, “O delitelyakh v nekotorykh vesovykh algebrakh tselykh funktsii”, Vladikavk. matem. zhurn., 26:4 (2024), 5–20  mathnet  crossref
    3. Ruslan Khats', “On the completeness of a system of Bessel functions of index -3/2 in weighted l2-space”, Filomat, 37:19 (2023), 6335  crossref
    4. R. V. Khats', “Completeness of the System of Generalized Eigenfunctions for a Bessel-Type Differential Operator”, J Math Sci, 274:6 (2023), 898  crossref
    5. Ruslan KHATS', “Generalized eigenvectors of linear operators and biorthogonal systems”, Constructive Mathematical Analysis, 5:2 (2022), 60  crossref
    6. Ruslan Khats', “Integral representation of one class of entire functions”, Armen.J.Math., 14:1 (2022), 1  crossref
    7. Aleksei Solodov, “Asymptotics of the Sum of a Sine Series with a Convex Slowly Varying Sequence of Coefficients”, Mathematics, 9:18 (2021), 2252  crossref
    8. N. F. Abuzyarova, “Preserving certain classes of entire functions defined by growth restrictions along the real axis under perturbations of their zero sets”, St. Petersburg Math. J., 33:4 (2022), 585–606  mathnet  crossref
    9. Khaled Mehrez, “New integral representations for the Fox–Wright functions and its applications”, Journal of Mathematical Analysis and Applications, 468:2 (2018), 650  crossref
    10. Dmitrii B. Karp, José L. López, “An Extension of the Multiple Erdélyi-Kober Operator and Representations of the Generalized Hypergeometric Functions”, FCAA, 21:5 (2018), 1360  crossref
    11. D.B. Karp, J.L. López, “Representations of hypergeometric functions for arbitrary parameter values and their use”, Journal of Approximation Theory, 218 (2017), 42  crossref
    12. N. F. Abuzyarova, “On 2-generateness of weakly localizable submodules in the module of entire functions of exponential type and polynomial growth on the real axis”, Ufa Math. J., 8:3 (2016), 8–21  mathnet  crossref  mathscinet  isi  elib
    13. V. P. Kurdyumov, “O bazisakh Rissa iz sobstvennykh funktsii differentsialnogo operatora vtorogo poryadka s involyutsiei i integralnymi kraevymi usloviyami”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 15:4 (2015), 392–405  mathnet  crossref  elib
    14. B. V. Vynnyts'kyi, R. V. Khats', “On the completeness and minimality of sets of Bessel functions in weighted L2-spaces”, Eurasian Math. J., 6:1 (2015), 123–131  mathnet
    15. B. N. Khabibullin, G. R. Talipova, F. B. Khabibullin, “Zero subsequences for Bernstein's spaces and the completeness of exponential systems in spaces of functions on an interval”, St. Petersburg Math. J., 26:2 (2015), 319–340  mathnet  crossref  mathscinet  isi  elib
    16. N. F. Abuzyarova, “Closed submodules in the module of entire functions of exponential type and polynomial growth on the real axis”, Ufa Math. J., 6:4 (2014), 3–17  mathnet  crossref
    17. Ufa Math. J., 5:2 (2013), 131–141  mathnet  crossref  isi  elib
    18. I. V. Romanov, “On the impossibility of bringing a flat membrane to rest with boundary forces”, Autom. Remote Control, 73:12 (2012), 1994–2000  mathnet  crossref  isi  elib
    19. Elias Zikkos, “An Addendum to Theorems of A. F. Leont'ev and L. Carleson on an Infinite Order Differential Equation on a Real Interval”, Comput. Methods Funct. Theory, 12:2 (2012), 403  crossref
    20. Elias Zikkos, “The closed span of an exponential system in the Banach spaces Lp(γ,β) and C[γ,β]”, Journal of Approximation Theory, 163:9 (2011), 1317  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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