RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor
Subscription
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


TMF, 1982, Volume 52, Number 2, Pages 327–331 (Mi tmf2543)  

Associative algebra of functionals containing $\delta(x)$ and $r^n$

V. A. Smirnov


Abstract: Shirokov's results [1, 2] are generalized to the case of arbitrary dimension. This leads to the construction of an associative algebra with differentiation containing the elements $\delta(\mathbf x)$ and $r^n$ ($\mathbf x=(x_1,…,x_d)$, $r=|\mathbf x|$, $n=0,\pm1,\pm2,…$). The algebra is realized on a subset of functionals defined on the space of functions which can be represented in the form $\varphi=r^{-2n_1}\varphi_1+r^{-2n_2{-1}}\varphi_2$, $\varphi_{1,2}\in S(\mathrm R^d)$.

Full text: PDF file (538 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1982, 52:2, 832–835

Bibliographic databases:

Received: 12.10.1981

Citation: V. A. Smirnov, “Associative algebra of functionals containing $\delta(x)$ and $r^n$”, TMF, 52:2 (1982), 327–331; Theoret. and Math. Phys., 52:2 (1982), 832–835

Citation in format AMSBIB
\Bibitem{Smi82}
\by V.~A.~Smirnov
\paper Associative algebra of functionals containing $\delta(x)$ and~$r^n$
\jour TMF
\yr 1982
\vol 52
\issue 2
\pages 327--331
\mathnet{http://mi.mathnet.ru/tmf2543}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=683446}
\zmath{https://zbmath.org/?q=an:0504.46032}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 52
\issue 2
\pages 832--835
\crossref{https://doi.org/10.1007/BF01018427}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1982QF16500018}


Linking options:
  • http://mi.mathnet.ru/eng/tmf2543
  • http://mi.mathnet.ru/eng/tmf/v52/i2/p327

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:116
    Full text:43
    References:20
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019