Algebra i Analiz
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


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2023, Volume 35, Issue 4, Pages 167–182 (Mi aa1877)  
Research Papers

On Fourier multipliers with rapidly oscillating symbols

D. Stolyarov

Saint Petersburg State University
Full-text PDF (479 kB) First page
References:
PDF
HTML
Abstract: We provide asymptotically sharp bounds for the $L_p$ norms of the Fourier multipliers with symbols $e^{i\lambda \varphi(\xi/|\xi|)}$, where $\lambda\in \mathbb{R}$ is a large parameter.
Keywords: Fourier multiplier, oscillatory integral.
Funding agency Grant number
Russian Science Foundation 19-71-30002
Received: 18.10.2022
English version:
St. Petersburg Mathematical Journal, 2024, Volume 35, Issue 4, Pages 719–729
DOI: https://doi.org/10.1090/spmj/1823
Document Type: Article
Language: Russian
Citation: D. Stolyarov, “On Fourier multipliers with rapidly oscillating symbols”, Algebra i Analiz, 35:4 (2023), 167–182; St. Petersburg Math. J., 35:4 (2024), 719–729
Citation in format AMSBIB
\Bibitem{Sto23}
\by D.~Stolyarov
\paper On Fourier multipliers with rapidly oscillating symbols
\jour Algebra i Analiz
\yr 2023
\vol 35
\issue 4
\pages 167--182
\mathnet{http://mi.mathnet.ru/aa1877}
\transl
\jour St. Petersburg Math. J.
\yr 2024
\vol 35
\issue 4
\pages 719--729
\crossref{https://doi.org/10.1090/spmj/1823}
Linking options:
  • https://www.mathnet.ru/eng/aa1877
  • https://www.mathnet.ru/eng/aa/v35/i4/p167
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025