Unstable submodules in the Schwartz module of entire functions

Doklady Bashkirskogo Universiteta. 2017. Volume 2. No. 1. pp. 1-3.

Authors


Abuzyarova N. F.*
Bashkir State University
32 Zaki Validi Street, 450074 Ufa, Republic of Bashkortostan, Russia
Vodnev A. V.
Bashkir State University
32 Zaki Validi Street, 450074 Ufa, Republic of Bashkortostan, Russia

Abstract


We construct unstable submodules in the module of entire functions, which is isomorphic to the Schwartz space of distributions with compact support in the subinterval of real line.

Keywords


  • submodules
  • Fourier-Laplace transform
  • spectral synthesis