Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






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


Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 189, Number 3, Pages 355–361
DOI: https://doi.org/10.4213/tmf9227
(Mi tmf9227)
 

This article is cited in 1 scientific paper (total in 1 paper)

Functional Cantor equation

A. B. Shabatab

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
b Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow region, Russia
Full-text PDF (423 kB) Citations (1)
References:
Abstract: We consider the class of entire functions of exponential type in relation to the scattering theory for the Schrödinger equation with a finite potential that is a finite Borel measure. These functions have a special self-similarity and satisfy $q$-difference functional equations. We study their asymptotic behavior and the distribution of zeros.
Keywords: inverse scattering problem, Fourier–Stieltjes integral, $q$-difference equation.
Funding agency Grant number
Russian Science Foundation 15-11-20007
This research is supported by a grant from the Russian Science Foundation (Project No. 15-11-20007).
Received: 15.05.2016
English version:
Theoretical and Mathematical Physics, 2016, Volume 189, Issue 3, Pages 1712–1717
DOI: https://doi.org/10.1134/S0040577916120035
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. B. Shabat, “Functional Cantor equation”, TMF, 189:3 (2016), 355–361; Theoret. and Math. Phys., 189:3 (2016), 1712–1717
Citation in format AMSBIB
\Bibitem{Sha16}
\by A.~B.~Shabat
\paper Functional Cantor equation
\jour TMF
\yr 2016
\vol 189
\issue 3
\pages 355--361
\mathnet{http://mi.mathnet.ru/tmf9227}
\crossref{https://doi.org/10.4213/tmf9227}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3589040}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016TMP...189.1712S}
\elib{https://elibrary.ru/item.asp?id=27485064}
\transl
\jour Theoret. and Math. Phys.
\yr 2016
\vol 189
\issue 3
\pages 1712--1717
\crossref{https://doi.org/10.1134/S0040577916120035}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000392087200003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85008711822}
Linking options:
  • https://www.mathnet.ru/eng/tmf9227
  • https://doi.org/10.4213/tmf9227
  • https://www.mathnet.ru/eng/tmf/v189/i3/p355
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024