Öz
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.
Anahtar Kelimeler
Regular set proximate order weakly regular set interpolation sequence.
Kaynakça
- 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.
Öz
Kaynakça
- 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.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Yazarlar | |
| Yayımlanma Tarihi | 19 Mart 2014 |
| Yayımlandığı Sayı | Yıl 2013 Cilt: 4 |