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

Authors

  • 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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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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Published

2008-12-25

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Section

Articles

How to Cite

Rafayelyan, S. G., and A. M. Jerbashian. “On Unitary Operators in Weighted Spaces $A^2_\omega(\mathbb{C})$ of Entire Functions”. Methods of Functional Analysis and Topology, vol. 14, no. 4, Dec. 2008, pp. 380-5, https://zen.imath.kiev.ua/index.php/mfat/article/view/401.