Tegul funkcija φ(s) s=σ+it, yra apibrėžta srityje σ>α+β+1 polinomine Oilerio sandauga. Magistro darbe įrodyta diskreti ribinė teorema analizinių funkcijų erdvėje H(D), funkcijai φ(s). Tarkime, kad h>0 toks fiksuotas skaičius, kad kuriems nors sveikiems k≠0 skaičius exp{2πk/h} yra racionalus, o B(H(D)) yra erdvės H(D) Borelio aibių klasė. Darbe įrodyta, kad tikimybinis matas silpnai konverguoja į vieno H(D) reikšmio atsitiktinio elemento skirstinį. / For σ>α+β+1, define the function φ(s), s=σ+it, by a polynomial Euler product. In our work, a discrete limit theorem in the space H(D) of analytic functions for the function φ(s) is proved. Suppose that h>0 is a fixed number such that for some integers k≠0 the number exp{2πk/h} is racional, and denote by B(H(D)) the class of Borel sets of the space H(D). Then we prove that the probability measure converges weakly to the distribution of one H(D)- valued random element.
| Identifer | oai:union.ndltd.org:LABT_ETD/oai:elaba.lt:LT-eLABa-0001:E.02~2006~D_20081203_193033-69214 |
| Date | 04 March 2009 |
| Creators | Paulauskas, Tomas |
| Contributors | Laurinčikas, Antanas, Vilnius University |
| Publisher | Lithuanian Academic Libraries Network (LABT), Vilnius University |
| Source Sets | Lithuanian ETD submission system |
| Language | Lithuanian |
| Detected Language | English |
| Type | Master thesis |
| Format | application/pdf |
| Source | http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2006~D_20081203_193033-69214 |
| Rights | Unrestricted |
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