RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Search
RSS
Forthcoming seminars





You may need the following programs to see the files








Seminar on Complex Analysis (Gonchar Seminar)
March 30, 2015 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
 


Spectral synthesis in the space of infinitely differentiable functions

A. D. Baranov

St. Petersburg State University, Department of Mathematics and Mechanics

Number of views:
This page:83

Abstract: In the space of all infinitely differentiable functions on an interval $(a,b)$ consider a differentiation invariant subspace and assume that the restriction of differentiation onto this subspace has discrete spectrum. Is it true that in this case the subspace is generated by the exponential monoms it contains? In general, the answer is negative, since the subspace may have the so-called “residual” part (all functions vanishing on some subinterval). In 2007 A. Aleman and B. Korenblum posed the spectral synthesis question: is any invariant subspace generated by its residual part and the corresponding exponentials? We give complete description of subspaces which admit spectral synthesis in terms of their spectra. The talk is based on joint works with A. Aleman and Yu. Belov.

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017