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Special Formal Series Solutions of Linear Operator Equations
 

Summary: Special Formal Series Solutions
of Linear Operator Equations
Sergei A. Abramov
Computer Center of
the Russian Academy of Science
Vavilova 40, Moscow 117967, Russia
sabramov@cs.msu.su
Marko Petkovsek
Department of Mathematics
University of Ljubljana
Jadranska 19, 1111 Ljubljana, Slovenia
marko.petkovsek@fmf.uni-lj.si
Anna Ryabenko
Department of Computational Mathematics & Cybernetics, Moscow State University
Moscow 119899, Russia
ryabenko@cs.msu.su
Abstract
The transformation which assigns to a linear operator L the recurrence
satisfied by coefficient sequences of the polynomial series in its kernel, is
shown to be an isomorphism of the corresponding operator algebras. We

  

Source: Abramov, Sergei A. - Dorodnicyn Computing Centre of the Russian Academy of Sciences

 

Collections: Mathematics; Computer Technologies and Information Sciences