Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




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

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 176, Pages 50–60
DOI: https://doi.org/10.36535/0233-6723-2020-176-50-60 (Mi into586) 		 
Integration over nonrectifiable curves as a distribution

D. B. Kats

Kazan (Volga Region) Federal University
Full-text PDF (223 kB)
References:
PDF
HTML
DOI: https://doi.org/10.36535/0233-6723-2020-176-50-60
Abstract: This paper is a review of results related to the generalization of the concept of a curvilinear integral to nonrectifiable curves, Marcinkiewicz exponents, new metric characteristics introduced by the author, and their applications.
Keywords: integration, non-rectifiable curve, Marcinkiewicz exponents, metric characteristics, fractal.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00060
This work was supported by the Russian Foundation for Basic Research (project No. 18-31-00060).
Bibliographic databases:
Document Type: Article
UDC: 517.544.8
MSC: 30Å25
Language: Russian
Citation: D. B. Kats, “Integration over nonrectifiable curves as a distribution”, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 176, VINITI, Moscow, 2020, 50–60
Citation in format AMSBIB
\Bibitem{Kat20}
\by D.~B.~Kats
\paper Integration over nonrectifiable curves as a distribution
\inbook Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018»,
November 23-28, 2018, Kazan. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 176
\pages 50--60
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into586}
\crossref{https://doi.org/10.36535/0233-6723-2020-176-50-60}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4150681}
Linking options:
  • https://www.mathnet.ru/eng/into586
  • https://www.mathnet.ru/eng/into/v176/p50
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:289
    Full-text PDF :78
    References:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024