Nanosystems: Physics, Chemistry, Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Nanosystems: Physics, Chemistry, Mathematics:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Nanosystems: Physics, Chemistry, Mathematics, 2018, Volume 9, Issue 2, Pages 215–224 (Mi nano155)  
MATHEMATICS

Inverse dynamic problems for canonical systems and de Branges spaces

A. S. Mikhailovab, V. S. Mikhailovab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, 7 Fontanka, St. Petersburg, 191023 Russia
b St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034 Russia
Full-text PDF (216 kB)
Abstract: We show the equivalence of inverse problems for different dynamical systems and corresponding canonical systems. For canonical system with general Hamiltonian we outline the strategy of studying the dynamic inverse problem and procedure of construction of corresponding de Branges space.
Keywords: inverse problem, Boundary Control method, de Branges spaces, Schrödinger operator, Dirac system, Jacobi matrices, canonical systems.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00529-A
17-01-00099-A
18-01-00269-A
Volkswagen Foundation
The research of Victor Mikhaylov was supported in part by RFBR 17-01-00529-A. Alexandr Mikhaylov was supported by RFBR 17-01-00099-A; A. S. Mikhaylov and V. S. Mikhaylov were partly supported by RFBR 18-01-00269-A and VW Foundation program “Modeling, Analysis, and Approximation Theory toward application in tomography and inverse problems”.
Received: 08.01.2018
Revised: 19.01.2018
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. S. Mikhailov, V. S. Mikhailov, “Inverse dynamic problems for canonical systems and de Branges spaces”, Nanosystems: Physics, Chemistry, Mathematics, 9:2 (2018), 215–224
Citation in format AMSBIB
\Bibitem{MikMik18}
\by A.~S.~Mikhailov, V.~S.~Mikhailov
\paper Inverse dynamic problems for canonical systems and de Branges spaces
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2018
\vol 9
\issue 2
\pages 215--224
\mathnet{http://mi.mathnet.ru/nano155}
\elib{https://elibrary.ru/item.asp?id=32760272}
Linking options:
  • https://www.mathnet.ru/eng/nano155
  • https://www.mathnet.ru/eng/nano/v9/i2/p215
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Nanosystems: Physics, Chemistry, Mathematics
    Statistics & downloads:
    Abstract page:44
    Full-text PDF :18
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024