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Weakly Regular Sets

Year 2013, Volume: 4 , 1 - 8, 19.03.2014

Abstract

We consider the concept of weakly regular set in complex plane and in complex half-plane. It is proved that such sets are interpolation sets.

References

  • Levin, B.Ya., Distribution of Zeros of Entire Functions, English revised edition Amer. Math. Soc, Providence, RI, 523pp. MR 81k:30011, 1980.
  • Leont'ev, A.F., Ryady e'ksponent Nauka, (Russian), 1976.
  • Firsakova, A.F., Some questions of interpolation with help of entire functions, Dokl. Akad. Nauk SSSR, 120, 3 (1958), 477{480. (Russian)
  • Uen, N.T., Interpolation problems in half-plane in the class of analytic functions of nite order and normal type, Teoria funksii, functional. Anal. i Prilozhen., 24 (1975), 106{127. (Russian)
  • Grishin, A.F., About sets of regular growth of entire functions, Teoria funksii, functional. Anal. i Prilozhen., 44 (1984), 32{42. (Russian)
  • Malyutin, K.G., On sets of regular growth of functions in a half-plane, I, Izvestija: Mathematics, 59, 4 (1995), 785{814.
  • Malyutin, K.G., On sets of regular growth of functions in a half-plane, I, Izvestija: Mathematics, 59, 5 (1995), 983{1006.
  • Malyutin, K.G., Interpolation by holomorphic functions, Thesis for the degree of Candidate of Physics and Mathematics, Kharkov, 1980.
  • Govorov, N.V., Riemann's Boundary Problem With Innite Index, Moskva: Nauka, 1986.
  • Grishin, A.F., Subharmonic functions of nite order, Thesis for the degree of Doctor of Physics and Mathematics, Kharkov, 1992.
  • Malyutin, K.G., The problem of multiple interpolation in the half-plane in the class, Russian Acad. Sci. Sb. Math., 78, 1 (1994), 253{266.
Year 2013, Volume: 4 , 1 - 8, 19.03.2014

Abstract

References

  • Levin, B.Ya., Distribution of Zeros of Entire Functions, English revised edition Amer. Math. Soc, Providence, RI, 523pp. MR 81k:30011, 1980.
  • Leont'ev, A.F., Ryady e'ksponent Nauka, (Russian), 1976.
  • Firsakova, A.F., Some questions of interpolation with help of entire functions, Dokl. Akad. Nauk SSSR, 120, 3 (1958), 477{480. (Russian)
  • Uen, N.T., Interpolation problems in half-plane in the class of analytic functions of nite order and normal type, Teoria funksii, functional. Anal. i Prilozhen., 24 (1975), 106{127. (Russian)
  • Grishin, A.F., About sets of regular growth of entire functions, Teoria funksii, functional. Anal. i Prilozhen., 44 (1984), 32{42. (Russian)
  • Malyutin, K.G., On sets of regular growth of functions in a half-plane, I, Izvestija: Mathematics, 59, 4 (1995), 785{814.
  • Malyutin, K.G., On sets of regular growth of functions in a half-plane, I, Izvestija: Mathematics, 59, 5 (1995), 983{1006.
  • Malyutin, K.G., Interpolation by holomorphic functions, Thesis for the degree of Candidate of Physics and Mathematics, Kharkov, 1980.
  • Govorov, N.V., Riemann's Boundary Problem With Innite Index, Moskva: Nauka, 1986.
  • Grishin, A.F., Subharmonic functions of nite order, Thesis for the degree of Doctor of Physics and Mathematics, Kharkov, 1992.
  • Malyutin, K.G., The problem of multiple interpolation in the half-plane in the class, Russian Acad. Sci. Sb. Math., 78, 1 (1994), 253{266.
There are 11 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Konstantin Malyutin This is me

Oksana Bozhenko This is me

Publication Date March 19, 2014
Published in Issue Year 2013 Volume: 4

Cite

APA Malyutin, K., & Bozhenko, O. (2014). Weakly Regular Sets. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, 4, 1-8.
AMA Malyutin K, Bozhenko O. Weakly Regular Sets. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. March 2014;4:1-8.
Chicago Malyutin, Konstantin, and Oksana Bozhenko. “Weakly Regular Sets”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4, March (March 2014): 1-8.
EndNote Malyutin K, Bozhenko O (March 1, 2014) Weakly Regular Sets. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4 1–8.
IEEE K. Malyutin and O. Bozhenko, “Weakly Regular Sets”, İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 4, pp. 1–8, 2014.
ISNAD Malyutin, Konstantin - Bozhenko, Oksana. “Weakly Regular Sets”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4 (March 2014), 1-8.
JAMA Malyutin K, Bozhenko O. Weakly Regular Sets. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2014;4:1–8.
MLA Malyutin, Konstantin and Oksana Bozhenko. “Weakly Regular Sets”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 4, 2014, pp. 1-8.
Vancouver Malyutin K, Bozhenko O. Weakly Regular Sets. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2014;4:1-8.