2022/02/21 by Abuzyarova, Natalia
Business, Management and Accounting · Computer Science · Mathematics · #30D15 #42A38 #46F05 #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Information Systems and Technology Applications #Mathematical Control Systems and Analysis
paper · pdf · doi:10.48550/arxiv.2202.09997
openalex publication_date 2022/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study closed subspaces of ultradifferentiable functions which are invariant under the differentiation operator. We propose a version of spectral synthesis which takes into account the presence of non-trivial differentiation invariant subspaces containing no exponential monomials. As an application, we describe the sets of solutions of finite and infinite systems of <> homogeneous convolution equations.