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On unitary operators in weighted spaces $A^2_\omega(\mathbb{C})$ of entire functions


Abstract

The paper gives a complete characterization of all unitary operators acting in some wide Hilbert spaces $A^2_\omega(\mathbb{C})$ of entire functions possessing weighted square integrable modulus over the whole finite complex plane, which exhaust the set of all entire functions.


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Article Information

TitleOn unitary operators in weighted spaces $A^2_\omega(\mathbb{C})$ of entire functions
SourceMethods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 380-385
MathSciNet   MR2469077
CopyrightThe Author(s) 2008 (CC BY-SA)

Authors Information

S. G. Rafayelyan
Yerevan State University, Department of Mathematics, ERIICTA, 1 Alex Manoogian, 375049, Yerevan, Armenia

A. M. Jerbashian
Institute of Mathematics, National Academy of Sciences of Armenia, 19b Marshal Baghramian Avenue, 375019, Yerevan, Armenia 


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Citation Example

S. G. Rafayelyan and A. M. Jerbashian, On unitary operators in weighted spaces $A^2_\omega(\mathbb{C})$ of entire functions, Methods Funct. Anal. Topology 14 (2008), no. 4, 380-385.


BibTex

@article {MFAT417,
    AUTHOR = {Rafayelyan, S. G. and Jerbashian, A. M.},
     TITLE = {On unitary operators in weighted spaces $A^2_\omega(\mathbb{C})$ of entire functions},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {14},
      YEAR = {2008},
    NUMBER = {4},
     PAGES = {380-385},
      ISSN = {1029-3531},
  MRNUMBER = {MR2469077},
       URL = {http://mfat.imath.kiev.ua/article/?id=417},
}


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