Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2017, Volume 455, Pages 67–83 (Mi znsl6407)  
This article is cited in 1 scientific paper (total in 1 paper)

On biorthogonal $p$-adic wavelet bases

E. J. Kinga, M. A. Skopinab

a University of Bremen, Bremen, Germany
b St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (253 kB) Citations (1)
References:
PDF
HTML
Abstract: Dual $p$-adic multiresolution analyses (MRAs) generated by scaling test functions are studied. It is proved that if two MRAs are dual, then each of MRAs is the Haar MRA. A characterization of all biorthogonal wavelet systems associated with the Haar MRA is given for the case $p=2$.
Key words and phrases: $p$-adic multiresolution analysis, scaling function, Riesz basis, $p$-adic wavelets.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05796-a
Saint Petersburg State University 9.38.198.2015
Volkswagen Foundation
Received: 10.04.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 2, Pages 158–169
DOI: https://doi.org/10.1007/s10958-018-3992-9
Document Type: Article
UDC: 517.98+511.225
Language: Russian
Citation: E. J. King, M. A. Skopina, “On biorthogonal $p$-adic wavelet bases”, Problems in the theory of representations of algebras and groups. Part 31, Zap. Nauchn. Sem. POMI, 455, POMI, St. Petersburg, 2017, 67–83; J. Math. Sci. (N. Y.), 234:2 (2018), 158–169
Citation in format AMSBIB
\Bibitem{KinSko17}
\by E.~J.~King, M.~A.~Skopina
\paper On biorthogonal $p$-adic wavelet bases
\inbook Problems in the theory of representations of algebras and groups. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 455
\pages 67--83
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6407}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 2
\pages 158--169
\crossref{https://doi.org/10.1007/s10958-018-3992-9}
Linking options:
  • https://www.mathnet.ru/eng/znsl6407
  • https://www.mathnet.ru/eng/znsl/v455/p67
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:271
    Full-text PDF :72
    References:41
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024