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, 2005, Volume 143, Number 2, Pages 195–210
DOI: https://doi.org/10.4213/tmf1810
(Mi tmf1810)
 

This article is cited in 2 scientific papers (total in 2 papers)

Two classes of generalized functions used in nonlocal field theory

M. A. Soloviev

P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (304 kB) Citations (2)
References:
Abstract: We elucidate the relation between the two ways of formulating causality in nonlocal quantum field theory: using analytic test functions belonging to the space $S^0$ (which is the Fourier transform of the Schwartz space $\mathcal D$) and using test functions in the Gelfand–Shilov spaces $S^0_\alpha$. We prove that every functional defined on $S^0$ has the same carrier cones as its restrictions to the smaller spaces $S^0_\alpha$. As an application of this result, we derive a Paley–Wiener–Schwartz-type theorem for arbitrarily singular generalized functions of tempered growth and obtain the corresponding extension of Vladimirovs algebra of functions holomorphic in a tubular domain.
Keywords: nonlocal quantum fields, causality, Wightman functions, analytic functionals, Hörmanders estimates, Paley–Wiener–Schwartz-type theorems.
Received: 02.07.2004
English version:
Theoretical and Mathematical Physics, 2005, Volume 143, Issue 2, Pages 651–663
DOI: https://doi.org/10.1007/s11232-005-0096-8
Bibliographic databases:
Language: Russian
Citation: M. A. Soloviev, “Two classes of generalized functions used in nonlocal field theory”, TMF, 143:2 (2005), 195–210; Theoret. and Math. Phys., 143:2 (2005), 651–663
Citation in format AMSBIB
\Bibitem{Sol05}
\by M.~A.~Soloviev
\paper Two classes of generalized functions used in nonlocal field theory
\jour TMF
\yr 2005
\vol 143
\issue 2
\pages 195--210
\mathnet{http://mi.mathnet.ru/tmf1810}
\crossref{https://doi.org/10.4213/tmf1810}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2165895}
\zmath{https://zbmath.org/?q=an:1178.81266}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...143..651S}
\elib{https://elibrary.ru/item.asp?id=9135959}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 143
\issue 2
\pages 651--663
\crossref{https://doi.org/10.1007/s11232-005-0096-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000229686400002}
\elib{https://elibrary.ru/item.asp?id=13496373}
Linking options:
  • https://www.mathnet.ru/eng/tmf1810
  • https://doi.org/10.4213/tmf1810
  • https://www.mathnet.ru/eng/tmf/v143/i2/p195
  • This publication is cited in the following 2 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
    Statistics & downloads:
    Abstract page:369
    Full-text PDF :220
    References:77
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024