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Matematicheskie Zametki, 1990, Volume 48, Issue 5, Pages 80–87 (Mi mzm3389)  

This article is cited in 29 scientific papers (total in 29 papers)

Generalization of the Paley–Wiener theorem in weighted spaces

V. I. Lutsenko, R. S. Yulmukhametov

Division of Physics and Mathematics and Computing Center, Bashkirskii Division, Academy of Sciences of the USSR
Received: 19.04.1988
English version:
Mathematical Notes, 1990, Volume 48, Issue 5, Pages 1131–1136
DOI: https://doi.org/10.1007/BF01236300
Bibliographic databases:
UDC: 517.53
Language: Russian
Citation: V. I. Lutsenko, R. S. Yulmukhametov, “Generalization of the Paley–Wiener theorem in weighted spaces”, Mat. Zametki, 48:5 (1990), 80–87; Math. Notes, 48:5 (1990), 1131–1136
Citation in format AMSBIB
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\by V.~I.~Lutsenko, R.~S.~Yulmukhametov
\paper Generalization of the Paley--Wiener theorem in weighted spaces
\jour Mat. Zametki
\yr 1990
\vol 48
\issue 5
\pages 80--87
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1092157}
\zmath{https://zbmath.org/?q=an:0727.30023|0716.30020}
\transl
\jour Math. Notes
\yr 1990
\vol 48
\issue 5
\pages 1131--1136
\crossref{https://doi.org/10.1007/BF01236300}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990FY46100010}
Linking options:
  • https://www.mathnet.ru/eng/mzm3389
  • https://www.mathnet.ru/eng/mzm/v48/i5/p80
  • This publication is cited in the following 29 articles:
    1. K. P. Isaev, R. S. Yulmukhametov, “Borel transforms of functions in parametrized family of Hilbert spaces”, Ufa Math. J., 16:4 (2024), 21–39  mathnet  crossref
    2. K.P. Isaev, R.S. Yulmukhametov, “On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight”, Journal of Mathematical Analysis and Applications, 519:2 (2023), 126839  crossref
    3. K. P. Isaev, R. S. Yulmukhametov, “Unconditional bases in radial Hilbert spaces”, Izv. Math., 86:1 (2022), 150–168  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. K. P. Isaev, R. S. Yulmukhametov, “Riesz bases of normalized reproducing kernels in Fock type spaces”, Anal.Math.Phys., 12:1 (2022)  crossref
    5. Ruslan Khats', “Integral representation of one class of entire functions”, Armen.J.Math., 14:1 (2022), 1  crossref
    6. R. S. Yulmukhametov, “Dual spaces for weighted spaces of locally integrable functions”, Ufa Math. J., 13:4 (2021), 112–122  mathnet  crossref  isi
    7. K. P. Isaev, R. S. Yulmukhametov, “Equivalent conditions for the existence of unconditional bases of reproducing kernels in spaces of entire functions”, Probl. anal. Issues Anal., 10(28):3 (2021), 41–52  mathnet  crossref
    8. K. P. Isaev, A. V. Lutsenko, R. S. Yulmukhametov, “Necessary Condition for the Existence of Unconditional Bases of Reproducing Kernels for Hilbert Spaces of Entire Functions”, J Math Sci, 257:5 (2021), 662  crossref
    9. K. P. Isaev, R. S. Yulmukhametov, “Geometry of radial Hilbert spaces with unconditional bases of reproducing kernels”, Ufa Math. J., 12:4 (2020), 55–63  mathnet  crossref  isi
    10. Mikhail Sodin, Operator Theory: Advances and Applications, 280, Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory, 2020, 61  crossref
    11. Ha Huy Bang, Vu Nhat Huy, “New Paley–Wiener Theorems”, Complex Anal. Oper. Theory, 14:4 (2020)  crossref
    12. A. A. Makhota, “On completeness of exponential systems in convex domain”, Ufa Math. J., 10:1 (2018), 76–79  mathnet  crossref  isi  elib
    13. K. P. Isaev, “On unconditional exponential bases in weighted spaces on interval of real axis”, Lobachevskii J Math, 38:1 (2017), 48  crossref
    14. K. P. Isaev, A. V. Lutsenko, R. S. Yulmukhametov, “On unconditional exponential bases in weak weighted spaces on segment”, Ufa Math. J., 8:4 (2016), 88–97  mathnet  crossref  isi  elib
    15. K. P. Isaev, R. S. Yulmukhametov, A. A. Yunusov, “On unconditional exponential bases in weighted spaces on interval of real axis”, St. Petersburg Math. J., 28:5 (2017), 689–706  mathnet  crossref  mathscinet  isi  elib
    16. R. A. Bashmakov, A. A. Makhota, K. V. Trounov, “On absence conditions of unconditional bases of exponents”, Ufa Math. J., 7:2 (2015), 17–32  mathnet  crossref  isi  elib
    17. A. A. Yunusov, “On unconditional exponential bases in weighted spaces on real axis”, Ufa Math. J., 7:3 (2015), 108–118  mathnet  crossref  isi  elib
    18. B. V. Vinnitskii, V. N. Dilnyi, “On approximation properties of one trigonometric system”, Russian Math. (Iz. VUZ), 58:11 (2014), 10–21  mathnet  crossref
    19. K. P. Isaev, R. S. Yulmukhametov, “Unconditional bases of reproducing kernels in Hilbert spaces of entire functions”, Ufa Math. J., 5:3 (2013), 67–76  mathnet  crossref  elib
    20. K. P. Isaev, K. V. Trunov, “Raspredelenie pokazatelei bezuslovnogo bazisa iz eksponent v prostranstvakh so stepennym vesom”, Ufimsk. matem. zhurn., 4:1 (2012), 63–70  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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