Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 245, Pages 228–240 (Mi tm188)  
This article is cited in 2 scientific papers (total in 2 papers)

Distributions and Mnemofunctions on Adeles. Fourier Transform

E. M. Radyno, Ya. V. Radyno

Belarusian State University, Faculty of Mathematics and Mechanics
Full-text PDF (234 kB) Citations (2)
References:
PDF
HTML
Abstract: Some classical results are recalled, and a finite part distribution is interpreted as the zero-order term in the expansion of a homogeneous distribution. An adelic finite part distribution and a generalization of the Tate distribution are defined, and their Fourier transforms are calculated. The machinery of mnemofunctions (nonlinear generalized functions) is adapted to $p$-adic and adelic cases, and product formulas for some specific distributions are given.
Received in October 2003
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: E. M. Radyno, Ya. V. Radyno, “Distributions and Mnemofunctions on Adeles. Fourier Transform”, Selected topics of $p$-adic mathematical physics and analysis, Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 245, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 228–240; Proc. Steklov Inst. Math., 245 (2004), 215–227
Citation in format AMSBIB
\Bibitem{RadRad04}
\by E.~M.~Radyno, Ya.~V.~Radyno
\paper Distributions and Mnemofunctions on Adeles. Fourier Transform
\inbook Selected topics of $p$-adic mathematical physics and analysis
\bookinfo Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 245
\pages 228--240
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm188}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099885}
\zmath{https://zbmath.org/?q=an:1098.11057}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 245
\pages 215--227
Linking options:
  • https://www.mathnet.ru/eng/tm188
  • https://www.mathnet.ru/eng/tm/v245/p228
    • 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
    		Òðóäû Ìàòåìàòè÷åñêîãî èíñòèòóòà èìåíè Â. À. Ñòåêëîâà Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:465
    Full-text PDF :150
    References:74
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024